From 11bda955c9e7b0068abd363cd0991b9861c0fd5c Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 17:22:03 -0400 Subject: [PATCH 01/20] KineticForces - PERFORMANCE - Panel NTV psi quadrature at rational surfaces, rtol-primary tolerances with maxevals guard Co-Authored-By: Claude Fable 5 --- examples/a10_kinetic_example/gpec.toml | 2 - src/KineticForces/Compute.jl | 48 ++++++++++++++++++++++- src/KineticForces/KineticForcesStructs.jl | 28 +++++++++++-- test/runtests_kinetic.jl | 30 ++++++++++++++ 4 files changed, 100 insertions(+), 8 deletions(-) diff --git a/examples/a10_kinetic_example/gpec.toml b/examples/a10_kinetic_example/gpec.toml index 40d29c08b..9bc0fff6d 100644 --- a/examples/a10_kinetic_example/gpec.toml +++ b/examples/a10_kinetic_example/gpec.toml @@ -60,5 +60,3 @@ nutype = "harmonic" # Collision operator (zero, small, krook, harmoni f0type = "maxwellian" # Distribution function (maxwellian, jkp, cgl) atol_xlmda = 1e-9 # Absolute tolerance for inner pitch + energy integrations rtol_xlmda = 1e-5 # Relative tolerance for inner pitch + energy integrations -atol_psi = 1e-9 # Absolute tolerance for the outer ψ quadrature -rtol_psi = 1e-4 # Relative tolerance for the outer ψ quadrature diff --git a/src/KineticForces/Compute.jl b/src/KineticForces/Compute.jl index ada81bea0..5ff653579 100644 --- a/src/KineticForces/Compute.jl +++ b/src/KineticForces/Compute.jl @@ -10,6 +10,39 @@ using adaptive Gauss-Kronrod quadrature at all levels (ψ, λ, energy). # Adaptive Gauss-Kronrod ψ integration via QuadGK.BatchIntegrand # ============================================================================ +""" + psi_panel_points(sing_psis, x0, xout) → Vector{Float64} + +Build the ψ-quadrature node list `[x0, rationals strictly inside (x0, xout), xout]`. +Paneling the integral at the rational surfaces puts the resonant torque-density peaks +(reg_spot/collisionally broadened, but narrow in ψ) on Gauss-Kronrod interval endpoints, +which the rule handles natively instead of hunting them by adaptive bisection. Surfaces +within 1e-8 of a bound are dropped to avoid degenerate panels. +""" +function psi_panel_points(sing_psis::Vector{Float64}, x0::Float64, xout::Float64) + return [x0; filter(p -> x0 + 1e-8 < p < xout - 1e-8, sing_psis); xout] +end + +""" + check_psi_quadrature_convergence(total, quad_err, ctrl, method) + +Warn when the ψ torque quadrature terminated without satisfying the requested tolerances +(hit `maxevals_psi`), or when a nonzero user-set `atol_psi` dominated termination — the +silent-garbage scenario for weak applied fields, since NTV scales as δB². +""" +function check_psi_quadrature_convergence(total::ComplexF64, quad_err::Float64, + ctrl::KineticForcesControl, method::String) + if quad_err > max(ctrl.atol_psi, ctrl.rtol_psi * abs(total)) + @warn "ψ torque quadrature ($method) did not converge within maxevals_psi=$(ctrl.maxevals_psi): " * + "error estimate $quad_err vs |T|=$(abs(total)) N·m. Raise maxevals_psi or loosen rtol_psi." + elseif ctrl.atol_psi > ctrl.rtol_psi * abs(total) + @warn "atol_psi=$(ctrl.atol_psi) N·m dominated ψ quadrature termination ($method): " * + "|T|=$(abs(total)) N·m is small relative to atol_psi, so the relative error is uncontrolled. " * + "NTV scales as δB², so weak applied fields shrink the torque quadratically — recommend atol_psi=0 (rtol-only)." + end + return nothing +end + """ integrate_psi_quadgk(n, nl, zi, mi, wdfac, divxfac, electron, method, equil, intr, ctrl, kinetic_profiles; psi_min, psi_max) → NamedTuple @@ -25,6 +58,11 @@ NamedTuple with: - `torque_profile`: NamedTuple of (psi, dtdpsi, t_cumulative) from evaluation points - `matrix_integrated`: Trapezoidal-integrated mpert×mpert×6 matrix (if matrix method) - `psi_nsteps::Int`: Number of integrand evaluations +- `psi_quad_error::Float64`: Quadrature error estimate for the total torque + +The integral is paneled at the rational-surface ψ locations (`intr.sing_psis`) and capped +at `ctrl.maxevals_psi` evaluations; a warning is emitted if the quadrature fails to reach +`ctrl.rtol_psi`/`ctrl.atol_psi` or if a nonzero `atol_psi` dominates termination. """ function integrate_psi_quadgk( n::Int, nl::Int, zi::Int, mi::Int, @@ -97,8 +135,12 @@ function integrate_psi_quadgk( end end + pts = psi_panel_points(intr.sing_psis, x0, xout) + bi = QuadGK.BatchIntegrand(psi_batch!, ComplexF64[], Float64[]) - total, _ = quadgk(bi, x0, xout; atol=ctrl.atol_psi, rtol=ctrl.rtol_psi) + total, quad_err = quadgk(bi, pts...; atol=ctrl.atol_psi, rtol=ctrl.rtol_psi, maxevals=ctrl.maxevals_psi) + + check_psi_quadrature_convergence(total, quad_err, ctrl, method) # Sort logs by ψ for the diagnostic torque profile. perm = sortperm(logged_psi) @@ -129,7 +171,9 @@ function integrate_psi_quadgk( end end - return (total=total, torque_profile=torque_profile, matrix_integrated=matrix_integrated, psi_nsteps=npts) + @info "ψ torque quadrature ($method): T=$total N·m, error estimate $quad_err, $npts integrand evaluations over $(length(pts) - 1) panels" + + return (total=total, torque_profile=torque_profile, matrix_integrated=matrix_integrated, psi_nsteps=npts, psi_quad_error=quad_err) end diff --git a/src/KineticForces/KineticForcesStructs.jl b/src/KineticForces/KineticForcesStructs.jl index 5e2358121..328e49890 100644 --- a/src/KineticForces/KineticForcesStructs.jl +++ b/src/KineticForces/KineticForcesStructs.jl @@ -95,15 +95,24 @@ ctrl = KineticForcesControl(; (Symbol(k) => v for (k, v) in inputs["KineticForce nn::Int = 1 # Toroidal mode number nl::Int = 1 # Bounce harmonic number - # Tolerances — debug defaults looser than Fortran PENTRC. + # Tolerances. # *_xlmda: shared tolerances for inner λ (pitch) and x (energy) integrations # *_psi: tolerances for outer ψ quadrature atol_xlmda::Float64 = 1e-8 # Absolute tolerance for inner pitch + energy integrations rtol_xlmda::Float64 = 1e-5 # Relative tolerance for inner pitch + energy integrations - # atol_psi=1e-2 N·m is small compared to typical tokamak torques (1-10 N·m) — one - # of the main benefits of QuadGK over ODE is that tolerances are physically intuitive. - atol_psi::Float64 = 1e-2 # Absolute tolerance for outer ψ quadrature + # rtol_psi is the primary convergence knob: ~2 significant figures matches the validity + # of the NTV model approximations. Do not set it tighter than the noise floor of the + # inner integrals (keep rtol_psi ≳ 10 × rtol_xlmda). rtol_psi::Float64 = 1e-2 # Relative tolerance for outer ψ quadrature + # atol_psi is in N·m and therefore amplitude-sensitive: NTV scales as δB², so a 10× + # weaker applied field gives a 100× smaller torque and any fixed absolute tolerance can + # silently dominate termination with O(1) relative error. Default 0 (rtol-only); a + # nonzero value is an expert opt-out for near-net-zero-torque cases and triggers a + # warning when it dominates. + atol_psi::Float64 = 0.0 # Absolute tolerance for outer ψ quadrature [N·m] + # Runaway guard for the outer quadrature (e.g. sign-cancelling torque density with tiny + # net torque under rtol-only control); a convergence warning fires when hit. + maxevals_psi::Int = 2000 # Max integrand evaluations for outer ψ quadrature # Scaling factors density_factor::Float64 = 1.0 # Density scaling (ni, ne) @@ -170,6 +179,9 @@ Fields replacing former module-level globals: - `ro`, `bo`, `chi1`: Equilibrium geometry parameters - `mthsurf`, `mfac`: Poloidal grid info - `dbob_m`, `divx_m`: Perturbation mode interpolants +- `sing_psis`: Rational-surface ψ locations (sorted, from the stability analysis), used as + panel boundaries for the outer ψ torque quadrature so the resonant peaks fall on + Gauss-Kronrod interval endpoints instead of driving deep adaptive bisection Equilibrium and kinetic profile data are read directly from the `PlasmaEquilibrium` (`equil.profiles`, `equil.geometry`) and the @@ -214,6 +226,9 @@ this struct. # beyond diverges. The outer ψ quadrature clips to this to match Fortran PENTRC. psilim::Float64 = 1.0 + # Rational-surface ψ locations for ψ-quadrature paneling (see docstring). + sing_psis::Vector{Float64} = Float64[] + # Pre-allocated θ-grid buffers for `tpsi!` — length mthsurf+1, reused per evaluation. tpsi_xs::Vector{Float64} = Float64[] tpsi_B::Vector{Float64} = Float64[] @@ -299,6 +314,11 @@ function set_perturbation_data!(kf_intr::KineticForcesInternal, pe_state, ffs_in kf_intr.mfac = collect(ffs_intr.mlow:ffs_intr.mhigh) kf_intr.psilim = ffs_intr.psilim + # Rational-surface ψ locations (ideal + kinetic) become panel boundaries for the + # outer ψ torque quadrature; dedupe surfaces closer than 1e-8 in ψ. + psis = sort!(vcat([s.psifac for s in ffs_intr.sing], [s.psifac for s in ffs_intr.kinsing])) + kf_intr.sing_psis = [p for (i, p) in enumerate(psis) if i == 1 || p - psis[i-1] > 1e-8] + # Bail if no xi_modes available (PE didn't run or failed) if pe_state.xi_modes === nothing || isempty(pe_state.psi_grid) @warn "set_perturbation_data!: no xi_modes available, skipping perturbation build" diff --git a/test/runtests_kinetic.jl b/test/runtests_kinetic.jl index 41aaccf67..45a85d0b5 100644 --- a/test/runtests_kinetic.jl +++ b/test/runtests_kinetic.jl @@ -335,6 +335,10 @@ @test ctrl.nutype == "harmonic" @test ctrl.f0type == "maxwellian" @test ctrl.psilims == [0.0, 1.0] + # ψ quadrature is rtol-primary: atol_psi is amplitude-sensitive (NTV ∝ δB²) + @test ctrl.atol_psi == 0.0 + @test ctrl.rtol_psi == 1e-2 + @test ctrl.maxevals_psi == 2000 end @testset "KineticForcesInternal defaults" begin @@ -343,6 +347,32 @@ @test intr.bo == 0.0 @test intr.mpert == 0 @test intr.chi1 == 0.0 + @test isempty(intr.sing_psis) + end + + @testset "psi_panel_points" begin + sing_psis = [0.2, 0.5, 0.8] + # Interior rationals become panel boundaries, in order + @test KF.psi_panel_points(sing_psis, 0.1, 0.9) == [0.1, 0.2, 0.5, 0.8, 0.9] + # Rationals outside the integration bounds are dropped + @test KF.psi_panel_points(sing_psis, 0.3, 0.7) == [0.3, 0.5, 0.7] + # Rationals at (or within 1e-8 of) a bound would create a degenerate panel — dropped + @test KF.psi_panel_points(sing_psis, 0.2, 0.8) == [0.2, 0.5, 0.8] + @test KF.psi_panel_points([0.2 + 5e-9], 0.2, 0.9) == [0.2, 0.9] + # No rational surfaces: plain two-point interval + @test KF.psi_panel_points(Float64[], 0.0, 1.0) == [0.0, 1.0] + end + + @testset "check_psi_quadrature_convergence" begin + ctrl = KF.KineticForcesControl() # atol_psi=0, rtol_psi=1e-2 + total = 1.0 + 0.0im + # Converged: error below rtol*|T|, no warning + @test_logs KF.check_psi_quadrature_convergence(total, 1e-3, ctrl, "fgar") + # Hit maxevals: error above tolerance + @test_logs (:warn, r"maxevals_psi") KF.check_psi_quadrature_convergence(total, 0.5, ctrl, "fgar") + # Nonzero atol_psi dominating a small torque: the silent-garbage scenario + ctrl.atol_psi = 1e-2 + @test_logs (:warn, r"atol_psi") KF.check_psi_quadrature_convergence(1e-3 + 0.0im, 1e-3, ctrl, "fgar") end @testset "METHOD_REGISTRY" begin From c868d32628f5d4bae7f9f0784c39873192865d16 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:04:05 -0400 Subject: [PATCH 02/20] EQUIL - NEW FEATURE - Add override_psi_nodes injection to all equilibrium solver paths Adds an override_psi_nodes keyword to setup_equilibrium and threads it through the direct, arclength, inverse, and by-inversion solvers, bypassing the config-driven grid with a validated externally supplied node vector. This is the injection point for the two-pass auto-grid refinement. Co-Authored-By: Claude Fable 5 --- src/Equilibrium/DirectEquilibrium.jl | 7 +++-- .../DirectEquilibriumByInversion.jl | 9 ++++--- src/Equilibrium/Equilibrium.jl | 16 ++++++++---- src/Equilibrium/GridRefinement.jl | 26 +++++++++++++++++++ src/Equilibrium/InverseEquilibrium.jl | 7 +++-- 5 files changed, 53 insertions(+), 12 deletions(-) create mode 100644 src/Equilibrium/GridRefinement.jl diff --git a/src/Equilibrium/DirectEquilibrium.jl b/src/Equilibrium/DirectEquilibrium.jl index 8d3d08a4e..8c4976cda 100644 --- a/src/Equilibrium/DirectEquilibrium.jl +++ b/src/Equilibrium/DirectEquilibrium.jl @@ -553,7 +553,8 @@ robustness. including the profile spline (`sq`), the coordinate mapping spline (`rzphi`), and the physics quantity spline (`eqfun`). """ -@with_pool pool function equilibrium_solver(raw_profile::DirectRunInput, fieldline_int=direct_fieldline_int) +@with_pool pool function equilibrium_solver(raw_profile::DirectRunInput, fieldline_int=direct_fieldline_int; + override_psi_nodes::Union{Nothing,Vector{Float64}}=nothing) equil_params = raw_profile.config psio = raw_profile.psio @@ -564,7 +565,9 @@ robustness. # direct_position! must run before building psi_nodes: probe integrations need ro, zo, rs2 ro, zo, _, rs2 = direct_position!(raw_profile) - psi_nodes = _build_psi_grid(equil_params, psilow, psihigh, fieldline_int, raw_profile, ro, zo, rs2) + psi_nodes = override_psi_nodes === nothing ? + _build_psi_grid(equil_params, psilow, psihigh, fieldline_int, raw_profile, ro, zo, rs2) : + _validate_psi_nodes(override_psi_nodes, psilow, psihigh) mpsi = length(psi_nodes) - 1 theta_nodes = range(0.0, 1.0; length=mtheta + 1) diff --git a/src/Equilibrium/DirectEquilibriumByInversion.jl b/src/Equilibrium/DirectEquilibriumByInversion.jl index 3ba702807..87308efe7 100644 --- a/src/Equilibrium/DirectEquilibriumByInversion.jl +++ b/src/Equilibrium/DirectEquilibriumByInversion.jl @@ -401,7 +401,8 @@ function equilibrium_solver_by_inversion( resolution_factor::Float64=4.0, refine::Union{Nothing,Int}=nothing, β_r::Union{Nothing,Float64}=nothing, - β_z::Union{Nothing,Float64}=nothing + β_z::Union{Nothing,Float64}=nothing, + override_psi_nodes::Union{Nothing,Vector{Float64}}=nothing ) equil_params = raw_profile.config psio = raw_profile.psio @@ -412,7 +413,9 @@ function equilibrium_solver_by_inversion( # Find magnetic axis and separatrix before building psi_nodes (needed for probe integrations) ro, zo, _, rs2 = direct_position!(raw_profile) - psi_nodes = _build_psi_grid(equil_params, psilow, psihigh, direct_fieldline_int, raw_profile, ro, zo, rs2) + psi_nodes = override_psi_nodes === nothing ? + _build_psi_grid(equil_params, psilow, psihigh, direct_fieldline_int, raw_profile, ro, zo, rs2) : + _validate_psi_nodes(override_psi_nodes, psilow, psihigh) mpsi = length(psi_nodes) - 1 # Detect plasma topology for sinh-stretching direction @@ -671,7 +674,7 @@ function equilibrium_solver_by_inversion( inv_input = InverseRunInput(raw_profile.config, raw_profile.sq_in, rz_in_xs, rz_in_ys, rz_in_R, rz_in_Z, ro, zo, psio, nothing) - pe = equilibrium_solver(inv_input) + pe = equilibrium_solver(inv_input; override_psi_nodes) # Round-trip validation: (ψ,θ) → (R,Z) → ψ_spline − ψ_target. # Checks 4 angles at the outermost surface and at 75% of the radial grid. diff --git a/src/Equilibrium/Equilibrium.jl b/src/Equilibrium/Equilibrium.jl index 13e478e29..142ce0ff5 100644 --- a/src/Equilibrium/Equilibrium.jl +++ b/src/Equilibrium/Equilibrium.jl @@ -12,6 +12,7 @@ import ..Utilities # --- Internal Module Structure --- include("EquilibriumTypes.jl") +include("GridRefinement.jl") include("FluxSurfaceMetrics.jl") include("CoordinateInvariant.jl") include("ReadEquilibrium.jl") @@ -67,15 +68,20 @@ const ANALYTIC_EQ = Dict( ) """ - setup_equilibrium(eq_config::EquilibriumConfig) + setup_equilibrium(eq_config::EquilibriumConfig, additional_input=nothing; override_psi_nodes=nothing) Read an equilibrium file, run the appropriate solver, and return the processed `PlasmaEquilibrium` with global parameters, q-profile, and GSE diagnostics. + +`override_psi_nodes` bypasses the config-driven radial grid (`grid_type`/`mpsi`) and forms +the equilibrium on the given strictly increasing ψ_N node vector, whose endpoints must match +`psilow`/`psihigh`. Used by the two-pass auto-grid refinement in the main driver; standalone +callers with `mpsi=0` get the coarse first-pass grid unless they refine and re-form. """ function setup_equilibrium(path::String="equil.toml") return setup_equilibrium(EquilibriumConfig(path)) end -function setup_equilibrium(eq_config::EquilibriumConfig, additional_input=nothing) +function setup_equilibrium(eq_config::EquilibriumConfig, additional_input=nothing; override_psi_nodes::Union{Nothing,Vector{Float64}}=nothing) eq_type = eq_config.eq_type @@ -130,11 +136,11 @@ function setup_equilibrium(eq_config::EquilibriumConfig, additional_input=nothin end if eq_type == "efit_by_inversion" - plasma_equilibrium = equilibrium_solver_by_inversion(eq_input) + plasma_equilibrium = equilibrium_solver_by_inversion(eq_input; override_psi_nodes) elseif eq_type == "efit_arclength" - plasma_equilibrium = equilibrium_solver(eq_input, arclength_fieldline_int) + plasma_equilibrium = equilibrium_solver(eq_input, arclength_fieldline_int; override_psi_nodes) else - plasma_equilibrium = equilibrium_solver(eq_input) + plasma_equilibrium = equilibrium_solver(eq_input; override_psi_nodes) end # Forward the captured ingest so the gpec.h5 writer can snapshot it (nothing for analytic). diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl new file mode 100644 index 000000000..032d3c0a8 --- /dev/null +++ b/src/Equilibrium/GridRefinement.jl @@ -0,0 +1,26 @@ +""" +Radial grid refinement utilities for the two-pass auto ψ grid. + +Pass 1 forms the equilibrium on a coarse grid; `refined_psi_grid` then derives a knot +density from the measured nodal data (profiles, 2D geometry channels, and optional kinetic +profiles) and equidistributes it, pinning mandatory knots (e.g. rational surfaces) via +`merge_mandatory_nodes`. Pass 2 re-forms the equilibrium on the refined grid through the +`override_psi_nodes` keyword of `setup_equilibrium`. +""" + +""" + _validate_psi_nodes(psi_nodes, psilow, psihigh) -> Vector{Float64} + +Check that an externally supplied ψ node vector is strictly increasing and spans exactly +[`psilow`, `psihigh`]. Errors loudly on violation (e.g. a psihigh separatrix re-clamp +between grid construction and equilibrium formation). +""" +function _validate_psi_nodes(psi_nodes::Vector{Float64}, psilow::Real, psihigh::Real) + length(psi_nodes) >= 2 || error("override_psi_nodes must contain at least 2 nodes") + all(diff(psi_nodes) .> 0) || error("override_psi_nodes must be strictly increasing") + isapprox(psi_nodes[1], psilow; atol=1e-12) || + error("override_psi_nodes[1]=$(psi_nodes[1]) must equal psilow=$psilow") + isapprox(psi_nodes[end], psihigh; atol=1e-12) || + error("override_psi_nodes[end]=$(psi_nodes[end]) must equal psihigh=$psihigh") + return psi_nodes +end diff --git a/src/Equilibrium/InverseEquilibrium.jl b/src/Equilibrium/InverseEquilibrium.jl index c1ae99d6e..0447933f7 100644 --- a/src/Equilibrium/InverseEquilibrium.jl +++ b/src/Equilibrium/InverseEquilibrium.jl @@ -41,7 +41,7 @@ end -function equilibrium_solver(input::InverseRunInput) +function equilibrium_solver(input::InverseRunInput; override_psi_nodes::Union{Nothing,Vector{Float64}}=nothing) @info "Starting Inverse Equilibrium Processing" # Extract input parameters @@ -135,7 +135,10 @@ function equilibrium_solver(input::InverseRunInput) # c----------------------------------------------------------------------- # c set up radial grid # c----------------------------------------------------------------------- - if grid_type == "log_asymptotic" + if override_psi_nodes !== nothing + sq_xs = _validate_psi_nodes(override_psi_nodes, psilow, psihigh) + mpsi = length(sq_xs) - 1 + elseif grid_type == "log_asymptotic" n_core_mid_edge = nothing if mpsi == 0 && config.psi_accuracy > 0 # Estimate A from q profile near psihigh (q is column 3 in sq_in) From 24b1309e24b9e3638cc1db7ecab01524ec33844b Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:11:38 -0400 Subject: [PATCH 03/20] EQUIL - NEW FEATURE - Measured-curvature knot density, equidistribution, and mandatory-node merge GridRefinement.jl derives the pass-2 knot density from the formed pass-1 equilibrium using the cubic h^4 error model on nodal fourth divided differences (1D profiles, rzphi geometry channels at sampled theta lines, and kinetic profiles when present), with a-priori edge/core geometric floors, then equidistributes and pins mandatory knots with a delta_min snap guard. The log_asymptotic auto path now forms a coarse fixed-128 pass-1 layout; the one-pass a-priori heuristics (make_optimal_mpsi, probe log-slope, 300-point mid-spacing sampling) are removed. All regions now scale as psi_accuracy^(-1/4), so tightening the tolerance refines edge and mid proportionally. Co-Authored-By: Claude Fable 5 --- src/Equilibrium/DirectEquilibrium.jl | 128 ++------ .../DirectEquilibriumByInversion.jl | 4 +- src/Equilibrium/Equilibrium.jl | 1 + src/Equilibrium/GridRefinement.jl | 280 +++++++++++++++++- src/Equilibrium/InverseEquilibrium.jl | 42 +-- 5 files changed, 312 insertions(+), 143 deletions(-) diff --git a/src/Equilibrium/DirectEquilibrium.jl b/src/Equilibrium/DirectEquilibrium.jl index 8c4976cda..ccb002d49 100644 --- a/src/Equilibrium/DirectEquilibrium.jl +++ b/src/Equilibrium/DirectEquilibrium.jl @@ -383,89 +383,6 @@ function direct_refine(rfac::Float64, eta::Float64, psi0::Float64, params::Field atol=1e-12*abs(psi0), rtol=1e-12, maxevals=50) end -""" - _estimate_log_slope(fieldline_int, raw_profile, ro, zo, rs2, psihigh) - -Estimate the logarithmic slope A from two field-line probe integrations near the separatrix, -using the asymptotic form q(ψ) ≃ −A·ln(1−ψ) (Fitzpatrick 2024, eq. 19). - -Returns A = |Δq| / ln(2). Falls back to A=2.0 on integration failure. -""" -function _estimate_log_slope(fieldline_int, raw_profile, ro, zo, rs2, psihigh) - eps_sep = max(1.0 - psihigh, 0.001) - psi1 = clamp(1.0 - 3 * eps_sep, raw_profile.config.psilow + 0.01, 0.999) - psi2 = clamp(1.0 - 1.5 * eps_sep, raw_profile.config.psilow + 0.01, 0.999) - try - out1 = fieldline_int(psi1, raw_profile, ro, zo, rs2) - q1 = out1[2].f * out1[1][end, 4] / (2π) - out2 = fieldline_int(psi2, raw_profile, ro, zo, rs2) - q2 = out2[2].f * out2[1][end, 4] / (2π) - A = max(abs(q2 - q1) / log(2), 0.1) - @info "Estimated separatrix log slope A = $(@sprintf("%.3f", A)) from probe integrations at psi = $(@sprintf("%.4f", psi1)), $(@sprintf("%.4f", psi2))" - return A - catch err - @warn "Failed to estimate log slope from probe integrations, using default A=2.0: $err" - return 2.0 - end -end - -""" - _estimate_mid_spacing(sq_in, psi_split_core, psi_split_edge, tau) - -Estimate the uniform knot spacing needed in the middle ψ region to resolve the sharpest -profile feature (usually the pressure pedestal) to relative accuracy `tau`. - -Uses central-difference second derivatives of all 4 sq_in profiles on a 300-point sample. -The required spacing for profile k is h_k = sqrt(8τ / d2_norm_k) where d2_norm_k is -max|f''| / max|f| over [psi_split_core, psi_split_edge]. -""" -function _estimate_mid_spacing(sq_in, psi_split_core, psi_split_edge, tau) - n_samp = 300 - psi_samp = range(psi_split_core, psi_split_edge; length=n_samp) - h_samp = step(psi_samp) - h_min = Inf - # Size the buffer to the actual profile count, not a hardcoded 4 (cf. InverseEquilibrium.jl). - nq = size(sq_in.y, 2) - buf = zeros(nq) - all_vals = [ - begin - sq_in(buf, ψ) - copy(buf) - end for ψ in psi_samp - ] - for k in 1:nq - vals = [all_vals[i][k] for i in 1:n_samp] - f_scale = max(maximum(abs.(vals)), 1e-12) - d2_max = 0.0 - for i in 2:(n_samp-1) - d2 = abs(vals[i+1] - 2vals[i] + vals[i-1]) / (h_samp^2 * f_scale) - d2_max = max(d2_max, d2) - end - d2_max < 1e-10 && continue - h_min = min(h_min, sqrt(8 * tau / d2_max)) - end - return clamp(h_min, 1e-3, 0.2) -end - -""" - make_optimal_mpsi(psilow, psihigh, A, sq_in; tau, psi_split_core, psi_split_edge) - -Compute the minimum number of radial knots needed to achieve target accuracy τ in q, -given the separatrix log slope A. Three-region geometric grid: core, pedestal, far edge. -The middle-region spacing is driven by profile curvature (P, F, dV/dψ, q) via sq_in. -""" -function make_optimal_mpsi(psilow, psihigh, A, sq_in; - tau=0.005, psi_split_core=0.03, psi_split_edge=0.98) - dlog = (13.0 * tau / A)^(1/4) - N_edge = ceil(Int, log((1.0 - psi_split_edge) / (1.0 - psihigh)) / dlog) + 1 - h_mid = _estimate_mid_spacing(sq_in, psi_split_core, psi_split_edge, tau) - N_mid = ceil(Int, (psi_split_edge - psi_split_core) / h_mid) - N_core = ceil(Int, log(psi_split_core / psilow) / dlog) - mpsi = N_core + N_mid + N_edge - @info "Auto-mpsi: N_core=$N_core + N_mid=$N_mid + N_edge=$N_edge = $mpsi (A=$(@sprintf("%.3f",A)), h_mid=$(@sprintf("%.4f",h_mid)), tau=$tau)" - return N_core, N_mid, N_edge -end - """ make_optimal_psi_grid(psilow, psihigh, N_core, N_mid, N_edge; psi_split_core, psi_split_edge) @@ -486,39 +403,36 @@ function make_optimal_psi_grid(psilow, psihigh, N_core, N_mid, N_edge; end """ - _build_psi_grid(equil_params, psilow, psihigh, fieldline_int, raw_profile, ro, zo, rs2) + _build_psi_grid(equil_params, psilow, psihigh) Resolve `mpsi` and build `psi_nodes` for any supported `grid_type`. -For `"log_asymptotic"` with `mpsi=0`, estimates the separatrix log slope from two probe -integrations and computes the minimum knot count for `psi_accuracy`. For `"ldp"`, uses -the sin²-spaced grid. Shared by `direct_fieldline_int` and `efit_by_inversion` solvers. +For `"log_asymptotic"` with `mpsi=0` (the auto grid), this is the coarse pass-1 layout of +the two-pass refinement — the main driver measures the formed equilibrium and re-forms on +the `refined_psi_grid` result. Shared by `direct_fieldline_int` and `efit_by_inversion` +solvers. """ -function _build_psi_grid(equil_params, psilow, psihigh, fieldline_int, raw_profile, ro, zo, rs2) +function _build_psi_grid(equil_params, psilow, psihigh) mpsi = equil_params.mpsi - n_core_mid_edge = nothing if equil_params.grid_type == "log_asymptotic" && mpsi == 0 && equil_params.psi_accuracy > 0 - A = _estimate_log_slope(fieldline_int, raw_profile, ro, zo, rs2, psihigh) - n_core_mid_edge = make_optimal_mpsi(psilow, psihigh, A, raw_profile.sq_in; tau=equil_params.psi_accuracy) - mpsi = sum(n_core_mid_edge) + # Two-pass auto grid: this is the coarse pass-1 layout; the driver measures the + # formed equilibrium's curvature and re-forms on a refined grid (GridRefinement.jl). + mpsi = 128 + @info "Auto psi grid: forming pass-1 equilibrium on coarse $(mpsi)-interval log_asymptotic grid pending curvature-based refinement" elseif mpsi == 0 mpsi = 128 end psi_nodes = if equil_params.grid_type == "log_asymptotic" - if n_core_mid_edge !== nothing - make_optimal_psi_grid(psilow, psihigh, n_core_mid_edge...;) - else - # Fixed mpsi specified: distribute by log-weights - log_core = log(0.03 / psilow) - log_mid = log(0.98 / 0.03) - log_edge = log((1.0 - 0.98) / (1.0 - psihigh)) - log_total = log_core + log_mid + log_edge - N_edge = clamp(round(Int, mpsi * log_edge / log_total), 2, mpsi ÷ 2) - N_core = round(Int, mpsi * log_core / log_total) - N_mid = mpsi - N_edge - N_core - make_optimal_psi_grid(psilow, psihigh, N_core, N_mid, N_edge) - end + # Distribute mpsi across the three regions by log-weights + log_core = log(0.03 / psilow) + log_mid = log(0.98 / 0.03) + log_edge = log((1.0 - 0.98) / (1.0 - psihigh)) + log_total = log_core + log_mid + log_edge + N_edge = clamp(round(Int, mpsi * log_edge / log_total), 2, mpsi ÷ 2) + N_core = round(Int, mpsi * log_core / log_total) + N_mid = mpsi - N_edge - N_core + make_optimal_psi_grid(psilow, psihigh, N_core, N_mid, N_edge) elseif equil_params.grid_type == "ldp" [psilow + (psihigh - psilow) * sin((ipsi / mpsi) * (π / 2))^2 for ipsi in 0:mpsi] elseif equil_params.grid_type == "pow1" @@ -562,11 +476,11 @@ robustness. psilow = equil_params.psilow psihigh = equil_params.psihigh - # direct_position! must run before building psi_nodes: probe integrations need ro, zo, rs2 + # Locate the magnetic axis and separatrix for the field-line integrations ro, zo, _, rs2 = direct_position!(raw_profile) psi_nodes = override_psi_nodes === nothing ? - _build_psi_grid(equil_params, psilow, psihigh, fieldline_int, raw_profile, ro, zo, rs2) : + _build_psi_grid(equil_params, psilow, psihigh) : _validate_psi_nodes(override_psi_nodes, psilow, psihigh) mpsi = length(psi_nodes) - 1 theta_nodes = range(0.0, 1.0; length=mtheta + 1) diff --git a/src/Equilibrium/DirectEquilibriumByInversion.jl b/src/Equilibrium/DirectEquilibriumByInversion.jl index 87308efe7..252ae515b 100644 --- a/src/Equilibrium/DirectEquilibriumByInversion.jl +++ b/src/Equilibrium/DirectEquilibriumByInversion.jl @@ -410,11 +410,11 @@ function equilibrium_solver_by_inversion( psilow = equil_params.psilow psihigh = equil_params.psihigh - # Find magnetic axis and separatrix before building psi_nodes (needed for probe integrations) + # Locate the magnetic axis and separatrix for the contour tracing ro, zo, _, rs2 = direct_position!(raw_profile) psi_nodes = override_psi_nodes === nothing ? - _build_psi_grid(equil_params, psilow, psihigh, direct_fieldline_int, raw_profile, ro, zo, rs2) : + _build_psi_grid(equil_params, psilow, psihigh) : _validate_psi_nodes(override_psi_nodes, psilow, psihigh) mpsi = length(psi_nodes) - 1 diff --git a/src/Equilibrium/Equilibrium.jl b/src/Equilibrium/Equilibrium.jl index 142ce0ff5..3ff48d46e 100644 --- a/src/Equilibrium/Equilibrium.jl +++ b/src/Equilibrium/Equilibrium.jl @@ -29,6 +29,7 @@ export setup_equilibrium, EquilibriumConfig, PlasmaEquilibrium, EquilibriumParam ProfileSplines, GeometryProfileSplines, compute_geometry_profiles, KineticProfileSplines, load_kinetic_profiles export flux_surface_metric, flux_surface_area +export wants_two_pass, refined_psi_grid, merge_mandatory_nodes, implied_knot_count export compute_sqrt_jac_delpsi, compute_sqrtamat, rootarea_to_area_weight, area_to_rootarea_weight # --- Constants --- diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index 032d3c0a8..6085719d3 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -2,11 +2,36 @@ Radial grid refinement utilities for the two-pass auto ψ grid. Pass 1 forms the equilibrium on a coarse grid; `refined_psi_grid` then derives a knot -density from the measured nodal data (profiles, 2D geometry channels, and optional kinetic -profiles) and equidistributes it, pinning mandatory knots (e.g. rational surfaces) via -`merge_mandatory_nodes`. Pass 2 re-forms the equilibrium on the refined grid through the -`override_psi_nodes` keyword of `setup_equilibrium`. +density from the measured nodal data (1D profiles, 2D geometry channels, and optional +kinetic profiles) and equidistributes it, pinning mandatory knots (e.g. rational surfaces) +via `merge_mandatory_nodes`. Pass 2 re-forms the equilibrium on the refined grid through +the `override_psi_nodes` keyword of `setup_equilibrium`. + +The density uses the cubic-interpolation error model err ≈ h⁴|f''''|/384, so the knot +count of every region scales as psi_accuracy^(-1/4) and tightening the tolerance refines +all regions proportionally. Fourth derivatives are estimated by divided differences on the +pass-1 nodes only — nodal values come from independent field-line integrations and are +immune to inter-knot spline ringing. +""" + +# Cubic spline interpolation error constant: err ≈ h⁴|f''''|/384 +const CUBIC_ERR_CONST = 384.0 +# |f''''|/f_scale below this is treated as integrator noise, not curvature +const D4_NOISE_FLOOR = 1e3 +# Per-quantity target spacing clamp (ψ_N units) +const H_TARGET_MIN = 1e-4 +const H_TARGET_MAX = 0.2 +# θ-lines subsample stride for the 2D geometry channels +const THETA_STRIDE = 8 + """ + wants_two_pass(config::EquilibriumConfig) -> Bool + +True when the config requests the automatic two-pass grid: `grid_type = "log_asymptotic"` +with `mpsi = 0` and a positive `psi_accuracy`. +""" +wants_two_pass(config::EquilibriumConfig) = + config.grid_type == "log_asymptotic" && config.mpsi == 0 && config.psi_accuracy > 0 """ _validate_psi_nodes(psi_nodes, psilow, psihigh) -> Vector{Float64} @@ -24,3 +49,250 @@ function _validate_psi_nodes(psi_nodes::Vector{Float64}, psilow::Real, psihigh:: error("override_psi_nodes[end]=$(psi_nodes[end]) must equal psihigh=$psihigh") return psi_nodes end + +""" + _fourth_derivative_nodes(xs, ys) -> Vector{Float64} + +Estimate |f''''| at each node of a (possibly nonuniform) grid by 5-point Newton divided +differences: f'''' ≈ 4!·f[x_{i-2},…,x_{i+2}]. The two nodes at each boundary reuse the +nearest interior stencil. Returns zeros when fewer than 5 nodes are available. +""" +function _fourth_derivative_nodes(xs::AbstractVector{<:Real}, ys::AbstractVector{<:Real}) + n = length(xs) + d4 = zeros(Float64, n) + n < 5 && return d4 + @inbounds for i in 1:n + j = clamp(i - 2, 1, n - 4) # stencil start: centered where possible, one-sided at ends + # Newton divided-difference table over xs[j:j+4] + c = Float64[ys[j+k] for k in 0:4] + for order in 1:4 + for k in 4:-1:order + c[k+1] = (c[k+1] - c[k]) / (xs[j+k] - xs[j+k-order]) + end + end + d4[i] = abs(24.0 * c[5]) + end + return d4 +end + +""" + _density_from_curvature!(rho, xs, d4, f_scale, tau) + +Accumulate (in place, by max) the knot density implied by the h⁴ error model for one +quantity: ρ = 1/h_target with h_target = (384·τ·f_scale/|f''''|)^(1/4), clamped to +[`H_TARGET_MIN`, `H_TARGET_MAX`]. Normalized curvature below `D4_NOISE_FLOOR` is ignored. +""" +function _density_from_curvature!(rho::Vector{Float64}, d4::Vector{Float64}, f_scale::Float64, tau::Float64) + @inbounds for i in eachindex(rho) + d4n = d4[i] / f_scale + d4n < D4_NOISE_FLOOR && continue + h = clamp((CUBIC_ERR_CONST * tau / d4n)^0.25, H_TARGET_MIN, H_TARGET_MAX) + rho[i] = max(rho[i], 1.0 / h) + end + return rho +end + +""" + _measured_edge_log_slope(xs, q_vals; nk=5) -> Float64 + +Estimate the separatrix log slope A of q ≈ −A·ln(1−ψ) from the outermost pass-1 q nodes. +Returns the fallback A=2.0 when the estimate is non-finite or non-positive (e.g. reversed +edge shear); analytic equilibria with finite edge q give a genuinely small A and hence a +weak edge floor. +""" +function _measured_edge_log_slope(xs::Vector{Float64}, q_vals::AbstractVector{<:Real}; nk::Int=5) + n = length(xs) + n < nk + 1 && return 2.0 + j = n - nk + denom = log((1.0 - xs[j]) / (1.0 - xs[n])) + A = (q_vals[n] - q_vals[j]) / denom + return (isfinite(A) && A > 0) ? A : 2.0 +end + +""" + _knot_density(equil::PlasmaEquilibrium; tau, kin=nothing) -> Vector{Float64} + +Knot density ρ(ψ) (knots per unit ψ_N) at the pass-1 nodes `equil.profiles.xs`, combining +by max: + + - measured h⁴-model curvature of the 1D profiles F, P, dV/dψ, q; + - curvature of the four rzphi geometry channels along every `THETA_STRIDE`-th θ-line + (max over θ) — the bicubic ψ-axis shares these knots, so geometry sharpness must + attract knots just like the 1D profiles; + - curvature of the kinetic profiles n_i, n_e, T_i, T_e, ω_E when `kin` is given + (their own grid, rebroadcast by linear interpolation) — steep pedestal gradients in + the kinetic data pull knots into the pedestal; + - a-priori floors: geometric-in-log(1−ψ) at the edge with slope A measured from the + pass-1 q nodes, geometric-in-log(ψ) in the core, and a global minimum density. + +A running max over ±1 node smooths single-stencil dropouts. +""" +function _knot_density(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing) + xs = equil.profiles.xs + n = length(xs) + rho = zeros(Float64, n) + + # 1D profiles + for spl in (equil.profiles.F_spline, equil.profiles.P_spline, equil.profiles.dVdpsi_spline, equil.profiles.q_spline) + vals = spl.y + f_scale = max(maximum(abs, vals), 1e-12) + _density_from_curvature!(rho, _fourth_derivative_nodes(xs, vals), f_scale, tau) + end + + # 2D geometry channels: per-θ-line curvature along ψ, max over θ, plane-wide scale + for interp in (equil.rzphi_rsquared, equil.rzphi_offset, equil.rzphi_nu, equil.rzphi_jac) + vals2d = @view interp.nodal_derivs.partials[1, :, :] + f_scale = max(maximum(abs, vals2d), 1e-12) + for itheta in 1:THETA_STRIDE:size(vals2d, 2) + _density_from_curvature!(rho, _fourth_derivative_nodes(xs, @view(vals2d[:, itheta])), f_scale, tau) + end + end + + # Kinetic profiles on their own grid, rebroadcast onto xs + if kin !== nothing + rho_kin = zeros(Float64, length(kin.xs)) + for spl in (kin.ni_spline, kin.ne_spline, kin.Ti_spline, kin.Te_spline, kin.omegaE_spline) + vals = spl.y + f_scale = max(maximum(abs, vals), 1e-12) + _density_from_curvature!(rho_kin, _fourth_derivative_nodes(kin.xs, vals), f_scale, tau) + end + kin_itp = cubic_interp(kin.xs, rho_kin; extrap=ExtendExtrap()) + @inbounds for i in 1:n + (kin.xs[1] <= xs[i] <= kin.xs[end]) || continue + rho[i] = max(rho[i], kin_itp(xs[i])) + end + end + + # Running max over ±1 node + rho_s = copy(rho) + @inbounds for i in 1:n + i > 1 && (rho_s[i] = max(rho_s[i], rho[i-1])) + i < n && (rho_s[i] = max(rho_s[i], rho[i+1])) + end + + # A-priori floors: edge/core geometric packing and a global minimum + A = _measured_edge_log_slope(xs, equil.profiles.q_spline.y) + dlog = (13.0 * tau / A)^0.25 + @inbounds for i in 1:n + xs[i] >= 0.9 && (rho_s[i] = max(rho_s[i], 1.0 / (dlog * (1.0 - xs[i])))) + xs[i] <= 0.03 && (rho_s[i] = max(rho_s[i], 1.0 / (dlog * xs[i]))) + rho_s[i] = max(rho_s[i], 1.0 / H_TARGET_MAX) + end + return rho_s +end + +""" + _equidistribute(xs, rho, N) -> Vector{Float64} + +Place N+1 nodes over [xs[1], xs[end]] by equidistributing the density integral +M(ψ) = ∫ρ dψ (trapezoid on the sample nodes, piecewise-linear inversion). Endpoints are +exactly xs[1] and xs[end]; interior nodes are strictly increasing since ρ > 0. +""" +function _equidistribute(xs::Vector{Float64}, rho::Vector{Float64}, N::Int) + n = length(xs) + M = zeros(Float64, n) + @inbounds for i in 2:n + M[i] = M[i-1] + 0.5 * (rho[i] + rho[i-1]) * (xs[i] - xs[i-1]) + end + nodes = Vector{Float64}(undef, N + 1) + nodes[1] = xs[1] + nodes[end] = xs[end] + k = 2 + @inbounds for j in 1:(N-1) + target = M[end] * j / N + while M[k] < target + k += 1 + end + frac = (target - M[k-1]) / (M[k] - M[k-1]) + nodes[j+1] = xs[k-1] + frac * (xs[k] - xs[k-1]) + end + return nodes +end + +""" + merge_mandatory_nodes(grid, mandatory; delta_frac=0.25) -> Vector{Float64} + +Insert mandatory knots (e.g. rational surfaces) into a base grid with a minimum-spacing +guard: for each mandatory node, δ_min = `delta_frac` × (containing base-grid interval), +and any pre-existing non-mandatory node within δ_min is dropped (snap — the mandatory node +is never moved). Endpoints always win: mandatory nodes outside the open span or within +δ_min of an endpoint are discarded. Mandatory nodes within δ_min of an earlier mandatory +node are collapsed onto it — the same physical surface can be found through several (m, n) +pairs differing only by root-finder noise, and a near-zero interval would ring the +reconstructed splines; two genuinely distinct surfaces closer than δ_min cannot be +resolved separately at the local grid resolution anyway. + +The function is agnostic to node provenance, so future mandatory sources (e.g. kinetic +resonance surfaces) plug in without change. +""" +function merge_mandatory_nodes(grid::Vector{Float64}, mandatory::Vector{Float64}; delta_frac::Float64=0.25) + isempty(mandatory) && return copy(grid) + lo, hi = grid[1], grid[end] + mand = sort(unique(mandatory)) + + # Local base spacing of the interval containing x (from the original base grid) + base_h = function (x) + k = clamp(searchsortedlast(grid, x), 1, length(grid) - 1) + return grid[k+1] - grid[k] + end + + kept = Tuple{Float64,Bool}[(g, false) for g in grid] # (value, is_mandatory) + last_mand = -Inf + for m in mand + (lo < m < hi) || continue + δ = delta_frac * base_h(m) + (m - lo < δ || hi - m < δ) && continue + if m - last_mand < δ + @debug "merge_mandatory_nodes: collapsing mandatory node ψ=$m onto ψ=$last_mand (spacing < δ_min)" + continue + end + # Snap: drop non-mandatory, non-endpoint nodes within δ of the mandatory node + filter!(t -> t[2] || t[1] == lo || t[1] == hi || abs(t[1] - m) >= δ, kept) + push!(kept, (m, true)) + last_mand = m + end + sort!(kept; by=first) + + merged = [t[1] for t in kept] + all(diff(merged) .> 0) || error("merge_mandatory_nodes produced a non-increasing grid") + return merged +end + +""" + refined_psi_grid(equil::PlasmaEquilibrium; tau, kin=nothing, mandatory=Float64[], + delta_frac=0.25, N_cap=1024) -> Vector{Float64} + +Build the refined pass-2 ψ grid from a formed pass-1 equilibrium: measured-curvature knot +density (`_knot_density`), equidistribution, and mandatory-knot insertion +(`merge_mandatory_nodes`). `tau` is the target interpolation accuracy (`psi_accuracy`); +`kin` optionally supplies kinetic profiles whose pedestal gradients attract knots; +`mandatory` lists ψ values that must appear as knots (e.g. rational surfaces). +""" +function refined_psi_grid(equil::PlasmaEquilibrium; + tau::Float64, + kin::Union{Nothing,KineticProfileSplines}=nothing, + mandatory::Vector{Float64}=Float64[], + delta_frac::Float64=0.25, + N_cap::Int=1024) + xs = equil.profiles.xs + rho = _knot_density(equil; tau, kin) + M_total = sum(0.5 * (rho[i] + rho[i-1]) * (xs[i] - xs[i-1]) for i in 2:length(xs)) + N = clamp(ceil(Int, M_total), 32, N_cap) + N == N_cap && M_total > N_cap && + @warn "refined_psi_grid: knot count capped at $N_cap (density integral wants $(ceil(Int, M_total))); psi_accuracy=$tau may not be attainable" + grid = _equidistribute(xs, rho, N) + return merge_mandatory_nodes(grid, mandatory; delta_frac) +end + +""" + implied_knot_count(equil::PlasmaEquilibrium; tau, kin=nothing) -> Int + +Knot count the measured-curvature density model implies for a formed equilibrium. Used as +a post-refinement consistency diagnostic: if this differs substantially from the actual +grid size, the pass-1 grid under- or over-sampled a feature. +""" +function implied_knot_count(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing) + xs = equil.profiles.xs + rho = _knot_density(equil; tau, kin) + return ceil(Int, sum(0.5 * (rho[i] + rho[i-1]) * (xs[i] - xs[i-1]) for i in 2:length(xs))) +end diff --git a/src/Equilibrium/InverseEquilibrium.jl b/src/Equilibrium/InverseEquilibrium.jl index 0447933f7..42bb598be 100644 --- a/src/Equilibrium/InverseEquilibrium.jl +++ b/src/Equilibrium/InverseEquilibrium.jl @@ -139,40 +139,22 @@ function equilibrium_solver(input::InverseRunInput; override_psi_nodes::Union{No sq_xs = _validate_psi_nodes(override_psi_nodes, psilow, psihigh) mpsi = length(sq_xs) - 1 elseif grid_type == "log_asymptotic" - n_core_mid_edge = nothing if mpsi == 0 && config.psi_accuracy > 0 - # Estimate A from q profile near psihigh (q is column 3 in sq_in) - ε = max(1.0 - psihigh, 0.001) - ψ₁ = clamp(1.0 - 3ε, psilow + 0.01, 0.999) - ψ₂ = clamp(1.0 - 1.5ε, psilow + 0.01, 0.999) - A = try - buf = zeros(size(sq_in.y, 2)) - sq_in(buf, ψ₁) - q1 = buf[3] - sq_in(buf, ψ₂) - q2 = buf[3] - max(abs(q2 - q1) / log(2), 0.1) - catch - @warn "Could not estimate log slope from q profile, using default A=2.0" - 2.0 - end - n_core_mid_edge = make_optimal_mpsi(psilow, psihigh, A, sq_in; tau=config.psi_accuracy) - mpsi = sum(n_core_mid_edge) + # Two-pass auto grid: coarse pass-1 layout; the driver refines and re-forms + # on the measured-curvature grid (GridRefinement.jl). + mpsi = 128 + @info "Auto psi grid: forming pass-1 equilibrium on coarse $(mpsi)-interval log_asymptotic grid pending curvature-based refinement" elseif mpsi == 0 mpsi = 128 end - sq_xs = if n_core_mid_edge !== nothing - make_optimal_psi_grid(psilow, psihigh, n_core_mid_edge...) - else - log_core = log(0.03 / psilow) - log_mid = log(0.98 / 0.03) - log_edge = log((1.0 - 0.98) / (1.0 - psihigh)) - log_total = log_core + log_mid + log_edge - N_edge = clamp(round(Int, mpsi * log_edge / log_total), 2, mpsi ÷ 2) - N_core = round(Int, mpsi * log_core / log_total) - N_mid = mpsi - N_edge - N_core - make_optimal_psi_grid(psilow, psihigh, N_core, N_mid, N_edge) - end + log_core = log(0.03 / psilow) + log_mid = log(0.98 / 0.03) + log_edge = log((1.0 - 0.98) / (1.0 - psihigh)) + log_total = log_core + log_mid + log_edge + N_edge = clamp(round(Int, mpsi * log_edge / log_total), 2, mpsi ÷ 2) + N_core = round(Int, mpsi * log_core / log_total) + N_mid = mpsi - N_edge - N_core + sq_xs = make_optimal_psi_grid(psilow, psihigh, N_core, N_mid, N_edge) elseif grid_type == "ldp" if mpsi == 0 mpsi = 128 From 7bbc3de38b0eae6b192b6e2421e2f98f44c27573 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:13:45 -0400 Subject: [PATCH 04/20] ForceFreeStates - REFACTOR - Extract stateless rational-surface core; add rational_psi_nodes The qextrema-interval Brent walk moves from sing_find! into _find_rational_surfaces, which returns (m, n, psifac) tuples; sing_find! rebuilds its SingType multiplicity bookkeeping on top. rational_psi_nodes exposes the unique surface locations for the two-pass grid refinement. Co-Authored-By: Claude Fable 5 --- src/ForceFreeStates/Sing.jl | 87 ++++++++++++++++++++++++++----------- 1 file changed, 62 insertions(+), 25 deletions(-) diff --git a/src/ForceFreeStates/Sing.jl b/src/ForceFreeStates/Sing.jl index a45b66643..211e6f30d 100644 --- a/src/ForceFreeStates/Sing.jl +++ b/src/ForceFreeStates/Sing.jl @@ -1,16 +1,17 @@ """ - sing_find!(intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEquilibrium) + _find_rational_surfaces(equil::Equilibrium.PlasmaEquilibrium, nlow::Int, nhigh::Int) -Locate singular rational q-surfaces (q = m/nn) using a bisection method -between extrema of the q-profile, and store their properties in `intr.sing`. -Performs the same function as `sing_find` in the Fortran code. +Locate all rational q-surfaces q = m/n for n in `nlow:nhigh` by Brent bisection between +consecutive extrema of the q-profile (reverse shear gives one root per monotone segment). +Returns a vector of `(m, n, psifac)` named tuples in discovery order (n outer, ψ-interval +inner). Requires `equilibrium_qfind!` to have populated `equil.params.qextrema_*`. """ -function sing_find!(intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEquilibrium) - +function _find_rational_surfaces(equil::Equilibrium.PlasmaEquilibrium, nlow::Int, nhigh::Int) profiles = equil.profiles + surfaces = @NamedTuple{m::Int, n::Int, psifac::Float64}[] # Loop over all toroidal mode numbers - for n in intr.nlow:intr.nhigh + for n in nlow:nhigh hint = Ref(1) # Loop over extrema of q, find all rational values in between for iex in 2:equil.params.mextrema @@ -25,30 +26,66 @@ function sing_find!(intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEqui while (m - n * equil.params.qextrema_q[iex-1]) * (m - n * equil.params.qextrema_q[iex]) <= 0 psi0 = equil.params.qextrema_psi[iex-1] psi1 = equil.params.qextrema_psi[iex] - psifac = (psi0 + psi1) / 2 # initial guess for bisection psifac = find_zero(psi -> m - n * profiles.q_spline(psi; hint=hint), (psi0, psi1), Roots.Brent()) - - if any(s -> isapprox(s.q, m / n; atol=1e-8), intr.sing) - # Rational surface with multiplicity > 1, add this m,n to the resonant mode numbers - # Technically only need m or n, but simplifies some later code and cheap to store both - push!(intr.sing[findfirst(s -> isapprox(s.q, m / n; atol=1e-8), intr.sing)].m, m) - push!(intr.sing[findfirst(s -> isapprox(s.q, m / n; atol=1e-8), intr.sing)].n, n) - else - push!(intr.sing, SingType(; - m=[m], - n=[n], - psifac=psifac, - rho=sqrt(psifac), - q=m / n, - q1=profiles.q_deriv(psifac; hint=hint) - )) - intr.msing += 1 - end + push!(surfaces, (m=m, n=n, psifac=psifac)) m += dm end end end + return surfaces +end + +""" + rational_psi_nodes(equil::Equilibrium.PlasmaEquilibrium; nlow::Int, nhigh::Int=nlow) + +Unique ψ_N locations of all rational surfaces q = m/n for n in `nlow:nhigh`, sorted +increasing. Used as mandatory knots for the two-pass equilibrium grid refinement (the +same physical surface reached through several (m, n) pairs is deduplicated by q value). +""" +function rational_psi_nodes(equil::Equilibrium.PlasmaEquilibrium; nlow::Int, nhigh::Int=nlow) + surfaces = _find_rational_surfaces(equil, nlow, nhigh) + nodes = Float64[] + qs = Float64[] + for s in surfaces + any(q -> isapprox(q, s.m / s.n; atol=1e-8), qs) && continue + push!(qs, s.m / s.n) + push!(nodes, s.psifac) + end + return sort!(nodes) +end + +""" + sing_find!(intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEquilibrium) + +Locate singular rational q-surfaces (q = m/nn) using a bisection method +between extrema of the q-profile, and store their properties in `intr.sing`. +Performs the same function as `sing_find` in the Fortran code. +""" +function sing_find!(intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEquilibrium) + profiles = equil.profiles + hint = Ref(1) + + for s in _find_rational_surfaces(equil, intr.nlow, intr.nhigh) + m, n, psifac = s.m, s.n, s.psifac + if any(sg -> isapprox(sg.q, m / n; atol=1e-8), intr.sing) + # Rational surface with multiplicity > 1, add this m,n to the resonant mode numbers + # Technically only need m or n, but simplifies some later code and cheap to store both + idx = findfirst(sg -> isapprox(sg.q, m / n; atol=1e-8), intr.sing) + push!(intr.sing[idx].m, m) + push!(intr.sing[idx].n, n) + else + push!(intr.sing, SingType(; + m=[m], + n=[n], + psifac=psifac, + rho=sqrt(psifac), + q=m / n, + q1=profiles.q_deriv(psifac; hint=hint) + )) + intr.msing += 1 + end + end # Sort singular surfaces by increasing ψ intr.sing = sort(intr.sing; by=s -> s.psifac) end From 4cc83ae8e9941a69bc2b3c9e0abdfa3741e64803 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:45:10 -0400 Subject: [PATCH 05/20] KineticForces - NEW FEATURE - Add Solovev NTV torque example and regression case covering the psi torque quadrature Co-Authored-By: Claude Fable 5 --- .../Solovev_kinetic_NTV_example/forcing.dat | 5 + .../Solovev_kinetic_NTV_example/gpec.toml | 94 +++++++++++++++++++ .../Solovev_kinetic_NTV_example/kinetic.dat | 23 +++++ .../run_example.jl | 4 + .../cases/solovev_kinetic_ntv.toml | 69 ++++++++++++++ 5 files changed, 195 insertions(+) create mode 100644 examples/Solovev_kinetic_NTV_example/forcing.dat create mode 100644 examples/Solovev_kinetic_NTV_example/gpec.toml create mode 100644 examples/Solovev_kinetic_NTV_example/kinetic.dat create mode 100644 examples/Solovev_kinetic_NTV_example/run_example.jl create mode 100644 regression-harness/cases/solovev_kinetic_ntv.toml diff --git a/examples/Solovev_kinetic_NTV_example/forcing.dat b/examples/Solovev_kinetic_NTV_example/forcing.dat new file mode 100644 index 000000000..42eb94703 --- /dev/null +++ b/examples/Solovev_kinetic_NTV_example/forcing.dat @@ -0,0 +1,5 @@ +# Forcing data for perturbed equilibrium calculations +# normalization: normal_field_T +# Format: n m amplitude_real amplitude_imag +# Single mode test case: n=1, m=2, amplitude=1e-4 T +1 2 1e-4 0.0 diff --git a/examples/Solovev_kinetic_NTV_example/gpec.toml b/examples/Solovev_kinetic_NTV_example/gpec.toml new file mode 100644 index 000000000..ecc36a6a7 --- /dev/null +++ b/examples/Solovev_kinetic_NTV_example/gpec.toml @@ -0,0 +1,94 @@ +# Solovev analytical equilibrium — n=1 ideal stability + perturbed equilibrium + NTV torque. +# Extends the Solovev ideal example with a [KineticForces] section, so after the plasma +# response is computed the neoclassical toroidal viscosity torque is integrated over ψ as a +# post-processing diagnostic (adaptive quadrature paneled at the rational surfaces). +# The kinetic profiles (kinetic.dat) are constructed to be consistent with this equilibrium's +# pressure; the equilibrium is generated analytically from the embedded [SOL_INPUT] section. + +[Equilibrium] +eq_type = "sol" # Type of the input 2D equilibrium file +jac_type = "pest" # Coordinate system (hamada, pest, boozer, equal_arc, park, other) +grid_type = "ldp" # Radial grid packing type +psilow = 1e-4 # Lower limit of normalized poloidal flux +psihigh = 0.9995 # Upper limit of normalized poloidal flux +mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mtheta = 256 # Number of poloidal grid points +newq0 = 0 # Override for on-axis safety factor (0 = use input value) +etol = 1e-7 # Error tolerance for equilibrium solver +force_termination = false # Terminate after equilibrium setup (skip stability calculations) + +[Wall] +# Close conformal wall is required to stabilize this Solovev fixture's n=1 external kink: +# with nowall, et[1] = -6.8 (strongly unstable); with this wall, et[1] = +0.24 (barely stable). +# The plasma is near marginal stability, so the BVP Δ' matrix values are pathological +# (dpm magnitudes ~ 10¹¹, |Im/Re| ≫ 1). This fixture's role is integration-pipeline +# smoke testing + et[1] regression, NOT BVP Δ' regression — DIIID-like is the canonical +# Δ'-matrix fixture (stable et[1] = +1.6, clean BVP Δ'). +shape = "conformal" # Wall shape (nowall, conformal, elliptical, dee, mod_dee, filepath) +a = 0.2415 # Distance from plasma (conformal) or shape parameter +aw = 0.05 # Half-thickness parameter for Dee-shaped walls +bw = 1.5 # Elongation parameter for wall shapes +cw = 0 # Offset of wall center from major radius +dw = 0.5 # Triangularity parameter for wall shapes +tw = 0.05 # Sharpness of wall corners (try 0.05 as initial value) +equal_arc_wall = true # Equal arc length distribution of nodes on wall + +[ForcingTerms] +forcing_data_file = "forcing.dat" # Manual mode table (n, m, amplitude_real, amplitude_imag) +forcing_data_format = "ascii" # Format: "ascii", "hdf5", or "coil" (Biot-Savart from 3D wires) + +[PerturbedEquilibrium] +fixed_boundary = false # Use fixed boundary conditions +output_eigenmodes = true # Output eigenmode fields as b-fields +compute_response = true # Compute plasma response to forcing +compute_singular_coupling = true # Compute singular layer coupling metrics +verbose = true # Enable verbose logging +write_outputs_to_HDF5 = true # Write perturbed equilibrium outputs to HDF5 +reg_spot = 0.05 # Regularization width for singular surfaces (0 = disabled) + +[ForceFreeStates] +local_stability_flag = true # Perform local stability analysis (Mercier and ballooning) across the ψ profile +mat_flag = true # Construct coefficient matrices for diagnostic purposes +ode_flag = true # Integrate ODEs for stability of the internal long-wavelength mode (must be true for GPEC) +vac_flag = true # Compute plasma, vacuum, and total energies for free-boundary modes + +psiedge = 0.99 # Edge dW(ψ) diagnostic scan band [psiedge, psilim]; set ≥ psilim to disable +qlow = 1.02 # Integration initiated at q determined by min(q0, qlow) +qhigh = 1e3 # Integration terminated at q limit determined by min(qa, qhigh) +sing_start = 0 # Start integration at the sing_start'th rational from the axis (psilow) + +nn_low = 1 # Smallest toroidal mode number to include +nn_high = 1 # Largest toroidal mode number to include +delta_mlow = 8 # Expands lower bound of Fourier harmonics +delta_mhigh = 8 # Expands upper bound of Fourier harmonics +mthvac = 960 # Number of points used in splines over poloidal angle at the plasma-vacuum interface + +kinetic_source = "fixed" # Kinetic matrix source: "fixed" test matrices, or "calculated" from the kinetic NTV model +kinetic_factor = 0.0 # Scaling of kinetic matrices (0 = ideal path; >0 enables kinetic mode) +eulerlagrange_tolerance = 1e-7 # Relative tolerance for ODE integration of Euler-Lagrange equations +singfac_min = 1e-4 # Fractional distance from rational q at which ideal jump enforced +ucrit = 1e3 # Column-norm threshold that triggers solution renormalization +force_wv_symmetry = true # Enforce symmetry of the vacuum energy matrix +save_interval = 3 # Save every Nth ODE step (1=all). Always saves near rational surfaces. + +# Δ' BVP + parallel integration (see ForceFreeStatesControl docstring for details) +use_parallel = true # Run parallel FM-propagator BVP path (unlocks singular/delta_prime_matrix) +parallel_threads = 2 # BVP thread cap (1 = serial/bit-deterministic; 2 ≈ +20% speedup; ≥3 saturates) +populate_dense_xi = true # Append serial-EL pass so dense ξ is stored — REQUIRED with a [PerturbedEquilibrium] section +set_psilim_via_dmlim = false # FALSE for limited/analytical equilibria — rationals sparse, dmlim would chop too much edge +dmlim = 0.2 # Truncate integration at (last_rational_q + dmlim)/n (used when set_psilim_via_dmlim = true) +# Solovev analytic equilibrium parameters (eq_type = "sol"); see SolovevConfig in src/Equilibrium. +[SOL_INPUT] +mr = 128 # Number of radial grid zones +mz = 128 # Number of axial grid zones +ma = 128 # Number of flux grid zones +e = 1.6 # Elongation +a = 0.33 # Minor radius +r0 = 1.0 # Major radius +q0 = 1.9 # Safety factor at the magnetic axis (O-point) +p0fac = 1 # Scale on-axis pressure (β changes; Φ, q fixed) +b0fac = 1 # Scale toroidal field at constant β (Bt changes; shape, β fixed) +f0fac = 1 # Scale toroidal field at constant pressure (β, q change; Φ, p, Bp fixed) + +[KineticForces] +kinetic_file = "kinetic.dat" # Kinetic profile file: psi_n, n_i, n_e, T_i, T_e, omega_E columns diff --git a/examples/Solovev_kinetic_NTV_example/kinetic.dat b/examples/Solovev_kinetic_NTV_example/kinetic.dat new file mode 100644 index 000000000..96fd9fa3e --- /dev/null +++ b/examples/Solovev_kinetic_NTV_example/kinetic.dat @@ -0,0 +1,23 @@ +# Kinetic profiles consistent with this Solovev equilibrium's pressure. +# Constraint: P(psi_n) = n_e*T_e + n_i*T_i must equal the equilibrium pressure +# P(psi_n) = P0*(1 - psi_n), P0 = 4.273e4 Pa (linear, zero at the edge). +# Construction (quasineutral, n_e=n_i, T_e=T_i): +# T(psi_n) = 100 + 2600*(1 - psi_n) eV (core 2700 eV, edge 100 eV) +# n(psi_n) = P0*(1 - psi_n) / (2*e*T) (core ~4.9e19; product n0*T0 = P0/2e fixed) +# Density carries the edge falloff to a small floor at psi_n=1 so T stays finite +# (avoids T->0 in the collisionality / drift-frequency formulas); the residual edge +# pressure from the floor is ~1e-6 of P0. omega_E is a free (non-pressure) profile. +psi_n n_i_m3 n_e_m3 T_i_eV T_e_eV omega_E_rads +0.00 4.939e19 4.939e19 2700.0 2700.0 1.0e4 +0.10 4.919e19 4.919e19 2440.0 2440.0 9.0e3 +0.20 4.894e19 4.894e19 2180.0 2180.0 8.0e3 +0.30 4.862e19 4.862e19 1920.0 1920.0 7.0e3 +0.40 4.820e19 4.820e19 1660.0 1660.0 6.0e3 +0.50 4.763e19 4.763e19 1400.0 1400.0 5.0e3 +0.60 4.679e19 4.679e19 1140.0 1140.0 4.0e3 +0.70 4.546e19 4.546e19 880.0 880.0 3.0e3 +0.80 4.302e19 4.302e19 620.0 620.0 2.0e3 +0.90 3.705e19 3.705e19 360.0 360.0 1.0e3 +0.95 2.899e19 2.899e19 230.0 230.0 5.0e2 +0.99 1.058e19 1.058e19 126.0 126.0 1.0e2 +1.00 2.000e18 2.000e18 100.0 100.0 0.0 diff --git a/examples/Solovev_kinetic_NTV_example/run_example.jl b/examples/Solovev_kinetic_NTV_example/run_example.jl new file mode 100644 index 000000000..fa0a9e53d --- /dev/null +++ b/examples/Solovev_kinetic_NTV_example/run_example.jl @@ -0,0 +1,4 @@ +using Pkg; +Pkg.activate(joinpath(@__DIR__, "../..")) +using GeneralizedPerturbedEquilibrium +GeneralizedPerturbedEquilibrium.main([dirname(@__FILE__)]) diff --git a/regression-harness/cases/solovev_kinetic_ntv.toml b/regression-harness/cases/solovev_kinetic_ntv.toml new file mode 100644 index 000000000..18f5a8144 --- /dev/null +++ b/regression-harness/cases/solovev_kinetic_ntv.toml @@ -0,0 +1,69 @@ +# Regression case: Solovev n=1 ideal stability + perturbed equilibrium + post-PE NTV torque. +# The only case exercising the KineticForces outer ψ torque quadrature (fgar method): +# rational-surface paneling, maxevals_psi cap, and the atol_psi/rtol_psi defaults. +# Each [quantities.*] block names an HDF5 path in the run output, how to extract it, and the +# noise floor below which a difference is treated as zero. +[case] +name = "solovev_kinetic_ntv" +description = "Solovev analytical equilibrium, n=1, ideal + PE + NTV torque quadrature" +example_dir = "examples/Solovev_kinetic_NTV_example" + +# NTV torque — the primary tracked quantity of this case. [Re, Im] pair; the ψ quadrature +# converges to rtol_psi=1e-2, but the result is deterministic for fixed code + inputs, so +# the noise floor is set near FP noise and any real movement is surfaced. +[quantities.ntv_torque] +h5path = "kinetic_forces/fgar/total_torque" +type = "real_vector" +extract = "all_real" +label = "NTV torque fgar [Re, Im]" +noise_threshold = 1e-8 +order = 10 + +[quantities.ntv_psi_nsteps] +h5path = "kinetic_forces/fgar/psi_nsteps" +type = "int_scalar" +extract = "value" +label = "NTV ψ quadrature evaluations" +noise_threshold = 0 +order = 11 + +# Stability anchors — confirm the upstream FFS/PE stages feeding the NTV diagnostic. +[quantities.et_real] +h5path = "FreeBoundaryStability/eigenmode_energies" +type = "complex_vector" +extract = "real_first" +label = "root-area-weighted total energy Re(et[1])" +noise_threshold = 1e-10 +order = 20 + +[quantities.msing] +h5path = "singular/msing" +type = "int_scalar" +extract = "value" +label = "# singular surfaces" +noise_threshold = 0 +order = 21 + +[quantities.sing_psi] +h5path = "singular/psi" +type = "real_vector" +extract = "all_real" +label = "singular psi locations" +noise_threshold = 1e-8 +order = 22 + +[quantities.q0] +h5path = "equil/q0" +type = "real_scalar" +extract = "value" +label = "q0" +noise_threshold = 0 +order = 23 + +# Runtime (special: not from H5) +[quantities.runtime] +h5path = "" +type = "runtime" +extract = "value" +label = "Runtime (s)" +noise_threshold = 0.0 From 9c3f944263b2294d9e488917d8afff582407f59a Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:53:15 -0400 Subject: [PATCH 06/20] EQUIL - IMPROVEMENT - Derivative-error density in rho-space with rational-surface packing MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Validation on the DIIID-like example drove four corrections to the knot density model: - h^3 derivative error model (err(f') ~ h^3|f''''|/24) replaces the h^4 value model: the stability physics consumes spline derivatives (q' at rational surfaces, p' and V' in the EL and ballooning coefficients), and the value model under-resolved delta-prime by 2x at q=2. - Curvature is measured against rho = sqrt(psi), where the equilibrium is regular at the axis; the psi-space geometry channels diverge as psi^(k/2-4) there and made the implied knot count grow without bound under refinement. - Local packing around mandatory (rational) surfaces: spacing 0.06*tau^(1/3) at the surface with geometric growth, within radius 0.05 — converges the delta-prime BVP, which samples the psi-splined coefficient matrices around each singular surface. - The core below psi=0.03 uses the a-priori geometric density exclusively: nodal data on the smallest flux surfaces is dominated by integration and axis-extrapolation error. Near-duplicate mandatory nodes (same surface via different m,n) collapse onto one knot. Noise floor scales as eps/h^4 on tightly packed sample grids. Adds test/runtests_grid_refinement.jl covering the merge invariants, equidistribution, quartic-exact divided differences, layer concentration, tau^(-1/3) scaling, and a Solovev two-pass round-trip. Co-Authored-By: Claude Fable 5 --- src/Equilibrium/GridRefinement.jl | 148 +++++++++++++++++++----------- test/runtests.jl | 1 + test/runtests_grid_refinement.jl | 130 ++++++++++++++++++++++++++ 3 files changed, 224 insertions(+), 55 deletions(-) create mode 100644 test/runtests_grid_refinement.jl diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index 6085719d3..856686147 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -7,22 +7,40 @@ kinetic profiles) and equidistributes it, pinning mandatory knots (e.g. rational via `merge_mandatory_nodes`. Pass 2 re-forms the equilibrium on the refined grid through the `override_psi_nodes` keyword of `setup_equilibrium`. -The density uses the cubic-interpolation error model err ≈ h⁴|f''''|/384, so the knot -count of every region scales as psi_accuracy^(-1/4) and tightening the tolerance refines -all regions proportionally. Fourth derivatives are estimated by divided differences on the -pass-1 nodes only — nodal values come from independent field-line integrations and are -immune to inter-knot spline ringing. +The density uses the cubic *derivative* interpolation error model err(f′) ≈ h³|f''''|/24 — +the stability physics consumes spline derivatives (q′ at rational surfaces, p′ and V′ in +the Euler-Lagrange and ballooning coefficients), whose error at a given spacing is far +larger than the value error. Every region's knot count then scales as +psi_accuracy^(-1/3), so tightening the tolerance refines edge, pedestal, and mid +proportionally. Fourth derivatives are estimated by divided differences on the pass-1 +nodes only — nodal values come from independent field-line integrations and are immune to +inter-knot spline ringing. + +Curvature is measured with respect to ρ = √ψ_N, in which the equilibrium is regular at +the magnetic axis (R−R₀ ~ √ψ_N makes the geometry channels behave as ψ_N^(k/2) there, so +their ψ-derivatives diverge but their ρ-derivatives do not); the resulting ρ-spacing maps +back to the ψ density through dψ/dρ = 2√ψ_N, giving natural √ψ core packing. """ -# Cubic spline interpolation error constant: err ≈ h⁴|f''''|/384 -const CUBIC_ERR_CONST = 384.0 -# |f''''|/f_scale below this is treated as integrator noise, not curvature +# Cubic spline derivative interpolation error constant: err(f′) ≈ h³|f''''|/24 +const CUBIC_DERIV_ERR_CONST = 24.0 +# |f''''|/f_scale below this is treated as integrator noise, not curvature. The absolute +# floor covers well-spaced grids; a relative-noise term ε/h⁴ dominates where the sample +# grid is tightly packed, since divided differences amplify per-node noise as h⁻⁴ there +# (a-priori floors carry those regions instead). const D4_NOISE_FLOOR = 1e3 +const NODE_NOISE_REL = 1e-8 # Per-quantity target spacing clamp (ψ_N units) const H_TARGET_MIN = 1e-4 const H_TARGET_MAX = 0.2 # θ-lines subsample stride for the 2D geometry channels const THETA_STRIDE = 8 +# Local packing around mandatory (rational) surfaces: knot spacing h_s = coef·τ^(1/3) at +# the surface, geometric growth away from it, applied within the given radius. The Δ' +# asymptotic matching samples the ψ-splined coefficient matrices around each singular +# surface, so their local interpolation error controls Δ' convergence there. +const SING_PACK_COEF = 0.06 +const SING_PACK_RADIUS = 0.05 """ wants_two_pass(config::EquilibriumConfig) -> Bool @@ -76,93 +94,98 @@ function _fourth_derivative_nodes(xs::AbstractVector{<:Real}, ys::AbstractVector end """ - _density_from_curvature!(rho, xs, d4, f_scale, tau) + _density_from_curvature!(rho, d4, f_scale, tau; xs=nothing) -Accumulate (in place, by max) the knot density implied by the h⁴ error model for one -quantity: ρ = 1/h_target with h_target = (384·τ·f_scale/|f''''|)^(1/4), clamped to -[`H_TARGET_MIN`, `H_TARGET_MAX`]. Normalized curvature below `D4_NOISE_FLOOR` is ignored. +Accumulate (in place, by max) the knot density implied by the h³ derivative error model +for one quantity: ρ = 1/h_target with h_target = (24·τ·f_scale/|f''''|)^(1/3), clamped to +[`H_TARGET_MIN`, `H_TARGET_MAX`]. Normalized curvature below the noise floor is ignored; +when `xs` is given the floor grows as `NODE_NOISE_REL`/h_local⁴ on tightly packed sample +grids, where divided differences amplify nodal noise. """ -function _density_from_curvature!(rho::Vector{Float64}, d4::Vector{Float64}, f_scale::Float64, tau::Float64) - @inbounds for i in eachindex(rho) +function _density_from_curvature!(rho::Vector{Float64}, d4::Vector{Float64}, f_scale::Float64, tau::Float64; + xs::Union{Nothing,Vector{Float64}}=nothing) + n = length(rho) + @inbounds for i in 1:n + noise_floor = D4_NOISE_FLOOR + if xs !== nothing + h_loc = (xs[min(i + 2, n)] - xs[max(i - 2, 1)]) / 4 + noise_floor = max(noise_floor, NODE_NOISE_REL / h_loc^4) + end d4n = d4[i] / f_scale - d4n < D4_NOISE_FLOOR && continue - h = clamp((CUBIC_ERR_CONST * tau / d4n)^0.25, H_TARGET_MIN, H_TARGET_MAX) + d4n < noise_floor && continue + h = clamp((CUBIC_DERIV_ERR_CONST * tau / d4n)^(1 / 3), H_TARGET_MIN, H_TARGET_MAX) rho[i] = max(rho[i], 1.0 / h) end return rho end """ - _measured_edge_log_slope(xs, q_vals; nk=5) -> Float64 - -Estimate the separatrix log slope A of q ≈ −A·ln(1−ψ) from the outermost pass-1 q nodes. -Returns the fallback A=2.0 when the estimate is non-finite or non-positive (e.g. reversed -edge shear); analytic equilibria with finite edge q give a genuinely small A and hence a -weak edge floor. -""" -function _measured_edge_log_slope(xs::Vector{Float64}, q_vals::AbstractVector{<:Real}; nk::Int=5) - n = length(xs) - n < nk + 1 && return 2.0 - j = n - nk - denom = log((1.0 - xs[j]) / (1.0 - xs[n])) - A = (q_vals[n] - q_vals[j]) / denom - return (isfinite(A) && A > 0) ? A : 2.0 -end - -""" - _knot_density(equil::PlasmaEquilibrium; tau, kin=nothing) -> Vector{Float64} + _knot_density(equil::PlasmaEquilibrium; tau, kin=nothing, mandatory=Float64[]) -> Vector{Float64} Knot density ρ(ψ) (knots per unit ψ_N) at the pass-1 nodes `equil.profiles.xs`, combining by max: - - measured h⁴-model curvature of the 1D profiles F, P, dV/dψ, q; + - measured h³-derivative-model curvature of the 1D profiles F, P, dV/dψ, q; - curvature of the four rzphi geometry channels along every `THETA_STRIDE`-th θ-line (max over θ) — the bicubic ψ-axis shares these knots, so geometry sharpness must attract knots just like the 1D profiles; - curvature of the kinetic profiles n_i, n_e, T_i, T_e, ω_E when `kin` is given (their own grid, rebroadcast by linear interpolation) — steep pedestal gradients in the kinetic data pull knots into the pedestal; - - a-priori floors: geometric-in-log(1−ψ) at the edge with slope A measured from the - pass-1 q nodes, geometric-in-log(ψ) in the core, and a global minimum density. + - a-priori floors: geometric-in-log(1−ψ) at the edge and geometric-in-log(ψ) in the + core, plus a global minimum density. For the separatrix asymptote q ≈ −A·ln(1−ψ) + (q′ = A/(1−ψ)), geometric packing with dlog = (4τ)^(1/3) gives uniform *relative* q′ + error dlog³/4 = τ independent of A — guarding pass-1 undersampling of the divergence + without over-packing equilibria whose edge q is finite; + - local packing around each `mandatory` (rational) surface: spacing `SING_PACK_COEF`·τ^(1/3) + at the surface with geometric growth away from it, within `SING_PACK_RADIUS`. A running max over ±1 node smooths single-stencil dropouts. """ -function _knot_density(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing) +function _knot_density(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing, + mandatory::Vector{Float64}=Float64[]) xs = equil.profiles.xs n = length(xs) - rho = zeros(Float64, n) + # Curvature is measured against ρ = √ψ (regular at the axis); the ρ-space density + # rho_r converts to the ψ density at the end via dρ/dψ = 1/(2√ψ). + rs = sqrt.(xs) + rho_r = zeros(Float64, n) # 1D profiles for spl in (equil.profiles.F_spline, equil.profiles.P_spline, equil.profiles.dVdpsi_spline, equil.profiles.q_spline) vals = spl.y f_scale = max(maximum(abs, vals), 1e-12) - _density_from_curvature!(rho, _fourth_derivative_nodes(xs, vals), f_scale, tau) + _density_from_curvature!(rho_r, _fourth_derivative_nodes(rs, vals), f_scale, tau; xs=rs) end - # 2D geometry channels: per-θ-line curvature along ψ, max over θ, plane-wide scale + # 2D geometry channels: per-θ-line curvature along ρ, max over θ, plane-wide scale for interp in (equil.rzphi_rsquared, equil.rzphi_offset, equil.rzphi_nu, equil.rzphi_jac) vals2d = @view interp.nodal_derivs.partials[1, :, :] f_scale = max(maximum(abs, vals2d), 1e-12) for itheta in 1:THETA_STRIDE:size(vals2d, 2) - _density_from_curvature!(rho, _fourth_derivative_nodes(xs, @view(vals2d[:, itheta])), f_scale, tau) + _density_from_curvature!(rho_r, _fourth_derivative_nodes(rs, @view(vals2d[:, itheta])), f_scale, tau; xs=rs) end end # Kinetic profiles on their own grid, rebroadcast onto xs if kin !== nothing + rs_kin = sqrt.(kin.xs) rho_kin = zeros(Float64, length(kin.xs)) for spl in (kin.ni_spline, kin.ne_spline, kin.Ti_spline, kin.Te_spline, kin.omegaE_spline) vals = spl.y f_scale = max(maximum(abs, vals), 1e-12) - _density_from_curvature!(rho_kin, _fourth_derivative_nodes(kin.xs, vals), f_scale, tau) + _density_from_curvature!(rho_kin, _fourth_derivative_nodes(rs_kin, vals), f_scale, tau; xs=rs_kin) end - kin_itp = cubic_interp(kin.xs, rho_kin; extrap=ExtendExtrap()) + kin_itp = cubic_interp(rs_kin, rho_kin; extrap=ExtendExtrap()) @inbounds for i in 1:n - (kin.xs[1] <= xs[i] <= kin.xs[end]) || continue - rho[i] = max(rho[i], kin_itp(xs[i])) + (rs_kin[1] <= rs[i] <= rs_kin[end]) || continue + rho_r[i] = max(rho_r[i], kin_itp(rs[i])) end end + # Convert the ρ-space density to ψ space: ρ_ψ(ψ) = ρ_ρ(ρ)·dρ/dψ = ρ_ρ/(2√ψ) + rho = [rho_r[i] / (2.0 * rs[i]) for i in 1:n] + # Running max over ±1 node rho_s = copy(rho) @inbounds for i in 1:n @@ -170,14 +193,28 @@ function _knot_density(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothin i < n && (rho_s[i] = max(rho_s[i], rho[i+1])) end - # A-priori floors: edge/core geometric packing and a global minimum - A = _measured_edge_log_slope(xs, equil.profiles.q_spline.y) - dlog = (13.0 * tau / A)^0.25 + # A-priori regions: geometric edge floor, and a pure a-priori geometric core — the + # nodal data of the smallest flux surfaces is dominated by integration and axis + # extrapolation error, so measured curvature is not trusted below the core split. + dlog = (4.0 * tau)^(1 / 3) @inbounds for i in 1:n - xs[i] >= 0.9 && (rho_s[i] = max(rho_s[i], 1.0 / (dlog * (1.0 - xs[i])))) - xs[i] <= 0.03 && (rho_s[i] = max(rho_s[i], 1.0 / (dlog * xs[i]))) + if xs[i] <= 0.03 + rho_s[i] = 1.0 / (dlog * xs[i]) + elseif xs[i] >= 0.9 + rho_s[i] = max(rho_s[i], 1.0 / (dlog * (1.0 - xs[i]))) + end rho_s[i] = max(rho_s[i], 1.0 / H_TARGET_MAX) end + + # Local packing around mandatory (rational) surfaces + h_s = max(SING_PACK_COEF * tau^(1 / 3), H_TARGET_MIN) + for psi_m in mandatory + @inbounds for i in 1:n + d = abs(xs[i] - psi_m) + d > SING_PACK_RADIUS && continue + rho_s[i] = max(rho_s[i], 1.0 / max(dlog * d, h_s)) + end + end return rho_s end @@ -275,7 +312,7 @@ function refined_psi_grid(equil::PlasmaEquilibrium; delta_frac::Float64=0.25, N_cap::Int=1024) xs = equil.profiles.xs - rho = _knot_density(equil; tau, kin) + rho = _knot_density(equil; tau, kin, mandatory) M_total = sum(0.5 * (rho[i] + rho[i-1]) * (xs[i] - xs[i-1]) for i in 2:length(xs)) N = clamp(ceil(Int, M_total), 32, N_cap) N == N_cap && M_total > N_cap && @@ -285,14 +322,15 @@ function refined_psi_grid(equil::PlasmaEquilibrium; end """ - implied_knot_count(equil::PlasmaEquilibrium; tau, kin=nothing) -> Int + implied_knot_count(equil::PlasmaEquilibrium; tau, kin=nothing, mandatory=Float64[]) -> Int Knot count the measured-curvature density model implies for a formed equilibrium. Used as a post-refinement consistency diagnostic: if this differs substantially from the actual grid size, the pass-1 grid under- or over-sampled a feature. """ -function implied_knot_count(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing) +function implied_knot_count(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothing,KineticProfileSplines}=nothing, + mandatory::Vector{Float64}=Float64[]) xs = equil.profiles.xs - rho = _knot_density(equil; tau, kin) + rho = _knot_density(equil; tau, kin, mandatory) return ceil(Int, sum(0.5 * (rho[i] + rho[i-1]) * (xs[i] - xs[i-1]) for i in 2:length(xs))) end diff --git a/test/runtests.jl b/test/runtests.jl index 2ae4125ea..9bd7b0ed2 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -24,6 +24,7 @@ else include("./runtests_fouriertransforms.jl") include("./runtests_vacuum.jl") include("./runtests_equil.jl") + include("./runtests_grid_refinement.jl") include("./runtests_coordinate_invariant.jl") include("./runtests_eulerlagrange.jl") include("./runtests_riccati.jl") diff --git a/test/runtests_grid_refinement.jl b/test/runtests_grid_refinement.jl new file mode 100644 index 000000000..0b1f6a26d --- /dev/null +++ b/test/runtests_grid_refinement.jl @@ -0,0 +1,130 @@ +using Test +using GeneralizedPerturbedEquilibrium +const GridRef = GeneralizedPerturbedEquilibrium.Equilibrium + +@testset "Grid Refinement" begin + + @testset "_fourth_derivative_nodes" begin + # Exact on a quartic over nonuniform nodes: f'''' = 24 everywhere + xs = [0.0, 0.1, 0.25, 0.33, 0.5, 0.62, 0.8, 0.93, 1.0] + d4 = GridRef._fourth_derivative_nodes(xs, xs .^ 4) + @test all(isapprox.(d4, 24.0; rtol=1e-8)) + + # Zero on a cubic (divided differences of order 4 vanish) + d4c = GridRef._fourth_derivative_nodes(xs, 2.0 .* xs .^ 3 .- xs) + @test all(abs.(d4c) .< 1e-8) + + # Fewer than 5 nodes: returns zeros + @test GridRef._fourth_derivative_nodes([0.0, 0.5, 1.0], [1.0, 2.0, 3.0]) == zeros(3) + end + + @testset "_equidistribute" begin + xs = collect(range(0.0, 1.0; length=101)) + + # Constant density -> uniform grid + nodes = GridRef._equidistribute(xs, fill(10.0, 101), 20) + @test length(nodes) == 21 + @test nodes[1] == 0.0 && nodes[end] == 1.0 + @test all(isapprox.(diff(nodes), 0.05; atol=1e-10)) + + # Localized density bump attracts a proportional share of the knots + rho = fill(1.0, 101) + rho[41:60] .= 100.0 # bump on [0.4, 0.6) + nodes = GridRef._equidistribute(xs, rho, 50) + @test all(diff(nodes) .> 0) + in_bump = count(x -> 0.4 <= x <= 0.6, nodes) + @test in_bump > 40 # bump carries ~95% of the density integral + end + + @testset "merge_mandatory_nodes" begin + grid = collect(range(0.0, 1.0; length=11)) # spacing 0.1, delta_min = 0.025 + + # Empty mandatory is the identity + @test GridRef.merge_mandatory_nodes(grid, Float64[]) == grid + + # Plain insertion away from existing nodes + merged = GridRef.merge_mandatory_nodes(grid, [0.55]) + @test 0.55 in merged + @test length(merged) == 12 + @test all(diff(merged) .> 0) + + # Snap: existing node within delta_min of the mandatory one is dropped + merged = GridRef.merge_mandatory_nodes(grid, [0.51]) + @test (0.51 in merged) && !(0.5 in merged) + @test length(merged) == 11 + + # Endpoints always win: out-of-span and near-endpoint mandatory nodes are discarded + merged = GridRef.merge_mandatory_nodes(grid, [-0.1, 0.0, 1.0, 1.2, 0.001, 0.999]) + @test merged == grid + + # Near-duplicate mandatory pair collapses to the first (same physical surface) + merged = GridRef.merge_mandatory_nodes(grid, [0.55, 0.55 + 1e-15]) + @test count(x -> abs(x - 0.55) < 0.01, merged) == 1 + @test minimum(diff(merged)) > 1e-3 + + # Distinct mandatory nodes farther apart than delta_min both survive + merged = GridRef.merge_mandatory_nodes(grid, [0.42, 0.47]) + @test (0.42 in merged) && (0.47 in merged) + @test all(diff(merged) .> 0) + end + + @testset "_validate_psi_nodes" begin + grid = collect(range(0.01, 0.99; length=10)) + @test GridRef._validate_psi_nodes(grid, 0.01, 0.99) === grid + @test_throws ErrorException GridRef._validate_psi_nodes(reverse(grid), 0.01, 0.99) + @test_throws ErrorException GridRef._validate_psi_nodes(grid, 0.02, 0.99) + @test_throws ErrorException GridRef._validate_psi_nodes(grid, 0.01, 0.995) + @test_throws ErrorException GridRef._validate_psi_nodes([0.5], 0.5, 0.5) + end + + @testset "density concentrates knots at a synthetic layer" begin + # tanh pedestal at psi=0.9 on a nonuniform grid; density must peak in the layer + xs = collect(range(0.01, 0.9995; length=201)) .^ 0.8 + sort!(xs) + vals = tanh.((xs .- 0.9) ./ 0.05) + rho = zeros(length(xs)) + GridRef._density_from_curvature!(rho, GridRef._fourth_derivative_nodes(xs, vals), 1.0, 3e-3) + # Density peaks inside the layer and vanishes (noise floor) far from it + layer = [0.8 <= x <= 0.99 for x in xs] + far = [x < 0.5 for x in xs] + @test maximum(rho[layer]) == maximum(rho) + @test maximum(rho[layer]) > 100.0 + @test maximum(rho[far]) == 0.0 + + # tau^(-1/3) scaling of the density (h^3 derivative error model); taus chosen so + # neither endpoint hits the H_TARGET_MIN/MAX clamps + rho_tight = zeros(length(xs)) + GridRef._density_from_curvature!(rho_tight, GridRef._fourth_derivative_nodes(xs, vals), 1.0, 3e-6) + ratio = maximum(rho_tight) / maximum(rho) + @test isapprox(ratio, 10.0; rtol=0.3) # (3e-3/3e-6)^(1/3) = 10 + end + + @testset "Solovev two-pass integration" begin + eq_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(; + eq_type="sol", grid_type="log_asymptotic", mpsi=0, psi_accuracy=1e-3, + psilow=0.01, psihigh=0.995) + sol_config = GeneralizedPerturbedEquilibrium.Equilibrium.SolovevConfig() + + @test GridRef.wants_two_pass(eq_config) + + equil1 = GridRef.setup_equilibrium(eq_config, sol_config) + + # Rational nodes land exactly on q = m/n surfaces + rat = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_nodes(equil1; nlow=1, nhigh=2) + @test !isempty(rat) && issorted(rat) + for p in rat + q = equil1.profiles.q_spline(p) + @test isapprox(q, round(2q) / 2; atol=1e-6) # m/n with n in 1:2 is a half-integer + end + + grid = GridRef.refined_psi_grid(equil1; tau=eq_config.psi_accuracy, mandatory=rat) + @test all(diff(grid) .> 0) + @test grid[1] == eq_config.psilow && grid[end] == eq_config.psihigh + @test all(p -> p in grid, rat) + + # Pass 2 honors the refined grid exactly + equil2 = GridRef.setup_equilibrium(eq_config, sol_config; override_psi_nodes=grid) + @test equil2.profiles.xs == grid + @test equil2.rzphi_xs == grid + end +end From bd87fd8cb2164d0674f8864a58c12785b43b6ef2 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:53:15 -0400 Subject: [PATCH 07/20] GPEC - NEW FEATURE - Two-pass auto psi grid with rational-surface knots in main driver When grid_type=log_asymptotic with mpsi=0, the driver forms a coarse pass-1 equilibrium, pins knots on all rational surfaces in the requested n range, derives the refined grid from the measured curvature (including kinetic profiles when loaded), and re-forms from the in-memory input. The nn range validation and the kinetic-profile load are hoisted above equilibrium formation to feed the refinement; a consistency check warns when the refined equilibrium implies substantially more knots than used. Co-Authored-By: Claude Fable 5 --- src/GeneralizedPerturbedEquilibrium.jl | 134 +++++++++++++++---------- 1 file changed, 81 insertions(+), 53 deletions(-) diff --git a/src/GeneralizedPerturbedEquilibrium.jl b/src/GeneralizedPerturbedEquilibrium.jl index 51bd422b4..c6c809e50 100755 --- a/src/GeneralizedPerturbedEquilibrium.jl +++ b/src/GeneralizedPerturbedEquilibrium.jl @@ -171,8 +171,89 @@ function main_from_inputs( ffs_table = inputs["ForceFreeStates"] _drop_deprecated_ffs_keys!(ffs_table) ctrl = ForceFreeStatesControl(; (Symbol(k) => v for (k, v) in ffs_table)...) + + # Determine toroidal mode numbers (n >= 1 required; 0 means "not specified"). + # Validated before equilibrium formation: the two-pass grid refinement needs the + # n range to pin rational-surface knots. + if ctrl.nn_low == 0 && ctrl.nn_high == 0 + error("Either nn_low or nn_high must be set in [ForceFreeStates] (both are 0)") + elseif ctrl.nn_low == 0 + ctrl.nn_low = ctrl.nn_high + elseif ctrl.nn_high == 0 + ctrl.nn_high = ctrl.nn_low + end + if ctrl.nn_low > ctrl.nn_high + error("nn_low=$(ctrl.nn_low) cannot be greater than nn_high=$(ctrl.nn_high)") + end + # checks for negative n + # note that negative n in fortran had code adding the identitiy matrix to grad Green for n=0 + # and some n, nu sign switching in vacuum but was not actually supported by DCON sing_find, etc. + if ctrl.nn_high < 1 + error("All requested toroidal modes (n=$(ctrl.nn_low):$(ctrl.nn_high)) are below 1; " * + "n < 1 modes are not supported") + end + if ctrl.nn_low < 1 + @warn "Clamping nn_low from $(ctrl.nn_low) to 1; n < 1 modes are not supported" + ctrl.nn_low = 1 + end + intr.nlow = ctrl.nn_low + intr.nhigh = ctrl.nn_high + intr.npert = intr.nhigh - intr.nlow + 1 + nstring = intr.npert == 1 ? "$(intr.nlow)" : "$(intr.nlow):$(intr.nhigh)" + equil = Equilibrium.setup_equilibrium(eq_config, additional_input) + # Build KineticForces control and load kinetic profiles once — reused by the grid + # refinement below, the stability kinetic callback (via `calculated_cb`), and the + # post-PE torque diagnostics block. The `"fixed"` kinetic source path in stability + # does not need kinetic_profiles, but the post-PE block always does, so we load + # whenever a [KineticForces] section is present or the stability path requests the + # calculated source. psio is invariant across grid re-formation. + kf_ctrl = + haskey(inputs, "KineticForces") ? + KineticForces.KineticForcesControl(; + (Symbol(k) => v for (k, v) in inputs["KineticForces"])...) : + KineticForces.KineticForcesControl() + + kinetic_profiles = nothing + needs_kinetic_profiles = haskey(inputs, "KineticForces") || + (ctrl.kinetic_factor > 0 && ctrl.kinetic_source == "calculated") + if needs_kinetic_profiles + kinetic_file = joinpath(intr.dir_path, kf_ctrl.kinetic_file) + kinetic_profiles = Equilibrium.load_kinetic_profiles( + kinetic_file; + zi=kf_ctrl.zi, zimp=kf_ctrl.zimp, + mi=kf_ctrl.mi, mimp=kf_ctrl.mimp, + density_factor=kf_ctrl.density_factor, temperature_factor=kf_ctrl.temperature_factor, + ExB_rotation_factor=kf_ctrl.ExB_rotation_factor, toroidal_rotation_factor=kf_ctrl.toroidal_rotation_factor, + chi1=2π * equil.psio) + end + + # Two-pass auto grid: measure the pass-1 equilibrium's curvature (profiles, geometry, + # kinetic profiles), pin knots on rational surfaces, and re-form on the refined grid + # from the in-memory input — no file re-read. + if Equilibrium.wants_two_pass(eq_config) + mandatory = ForceFreeStates.rational_psi_nodes(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high) + psi_nodes = Equilibrium.refined_psi_grid(equil; + tau=eq_config.psi_accuracy, kin=kinetic_profiles, mandatory=mandatory) + rerun_input = if additional_input !== nothing + additional_input # analytic *Config, IMAS dd, or prebuilt RunInput — all re-formable + elseif equil.ingest isa Equilibrium.DirectIngest + Equilibrium.build_direct_from_ingest(eq_config, equil.ingest) + elseif equil.ingest isa Equilibrium.InverseIngest + Equilibrium.build_inverse_from_ingest(eq_config, equil.ingest) + else + nothing # fall back to re-reading the input file + end + equil = Equilibrium.setup_equilibrium(eq_config, rerun_input; override_psi_nodes=psi_nodes) + implied = Equilibrium.implied_knot_count(equil; tau=eq_config.psi_accuracy, kin=kinetic_profiles, mandatory) + if implied > 1.5 * (length(psi_nodes) - 1) + @warn "Two-pass psi grid: refined equilibrium implies $implied knots vs $(length(psi_nodes) - 1) used — " * + "pass 1 may have under-sampled a feature; consider tightening psi_accuracy" + end + @info "Two-pass psi grid: $(length(psi_nodes)) knots, $(length(mandatory)) rational surfaces pinned (n=$nstring)" + end + @info "Equilibrium construction completed in $(@sprintf("%.3f", time() - equil_start)) s" # Early exit if user only requested equilibrium setup @@ -253,33 +334,6 @@ function main_from_inputs( # Fit data to splines intr.locstab = cubic_interp(profiles_xs, Series(locstab_fs); extrap=ExtendExtrap()) - # Determine toroidal mode numbers (n >= 1 required; 0 means "not specified") - if ctrl.nn_low == 0 && ctrl.nn_high == 0 - error("Either nn_low or nn_high must be set in [ForceFreeStates] (both are 0)") - elseif ctrl.nn_low == 0 - ctrl.nn_low = ctrl.nn_high - elseif ctrl.nn_high == 0 - ctrl.nn_high = ctrl.nn_low - end - if ctrl.nn_low > ctrl.nn_high - error("nn_low=$(ctrl.nn_low) cannot be greater than nn_high=$(ctrl.nn_high)") - end - # checks for negative n - # note that negative n in fortran had code adding the identitiy matrix to grad Green for n=0 - # and some n, nu sign switching in vacuum but was not actually supported by DCON sing_find, etc. - if ctrl.nn_high < 1 - error("All requested toroidal modes (n=$(ctrl.nn_low):$(ctrl.nn_high)) are below 1; " * - "n < 1 modes are not supported") - end - if ctrl.nn_low < 1 - @warn "Clamping nn_low from $(ctrl.nn_low) to 1; n < 1 modes are not supported" - ctrl.nn_low = 1 - end - intr.nlow = ctrl.nn_low - intr.nhigh = ctrl.nn_high - intr.npert = intr.nhigh - intr.nlow + 1 - nstring = intr.npert == 1 ? "$(intr.nlow)" : "$(intr.nlow):$(intr.nhigh)" - # Find all singular surfaces in the equilibrium sing_find!(intr, equil) @@ -328,32 +382,6 @@ function main_from_inputs( intr.mpert = intr.mhigh - intr.mlow + 1 intr.numpert_total = intr.mpert * intr.npert - # Build KineticForces control and load kinetic profiles once — reused by - # both the stability kinetic callback (via `calculated_cb` below) and the - # post-PE torque diagnostics block. The `"fixed"` kinetic source path in - # stability does not need kinetic_profiles, but the post-PE block always - # does, so we load whenever a [KineticForces] section is present or the - # stability path requests the calculated source. - kf_ctrl = - haskey(inputs, "KineticForces") ? - KineticForces.KineticForcesControl(; - (Symbol(k) => v for (k, v) in inputs["KineticForces"])...) : - KineticForces.KineticForcesControl() - - kinetic_profiles = nothing - needs_kinetic_profiles = haskey(inputs, "KineticForces") || - (ctrl.kinetic_factor > 0 && ctrl.kinetic_source == "calculated") - if needs_kinetic_profiles - kinetic_file = joinpath(intr.dir_path, kf_ctrl.kinetic_file) - kinetic_profiles = Equilibrium.load_kinetic_profiles( - kinetic_file; - zi=kf_ctrl.zi, zimp=kf_ctrl.zimp, - mi=kf_ctrl.mi, mimp=kf_ctrl.mimp, - density_factor=kf_ctrl.density_factor, temperature_factor=kf_ctrl.temperature_factor, - ExB_rotation_factor=kf_ctrl.ExB_rotation_factor, toroidal_rotation_factor=kf_ctrl.toroidal_rotation_factor, - chi1=2π * equil.psio) - end - # Fit equilibrium quantities to Fourier-spline functions. if ctrl.mat_flag || ctrl.ode_flag if ctrl.verbose From 97f02790a31d0db7e5058c3570d446173683f013 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:53:15 -0400 Subject: [PATCH 08/20] ForceFreeStates - IMPROVEMENT - Default psi window for ballooning alpha-boundary scan drivers The alpha-boundary drivers now scan only psi_N in [0.1, min(0.99, psi_edge)], reusing the existing NaN sentinel for skipped surfaces. Ballooning boundaries are physically relevant in the mid-radius and pedestal; the packed axis and far-edge surfaces dominated the scan cost. The locstab path (compute_ballooning_stability!) is unchanged. Co-Authored-By: Claude Fable 5 --- src/ForceFreeStates/Ballooning.jl | 19 +++++++++++++++---- 1 file changed, 15 insertions(+), 4 deletions(-) diff --git a/src/ForceFreeStates/Ballooning.jl b/src/ForceFreeStates/Ballooning.jl index ebdfb7686..d24f9ff81 100644 --- a/src/ForceFreeStates/Ballooning.jl +++ b/src/ForceFreeStates/Ballooning.jl @@ -8,6 +8,13 @@ using StaticArrays: SVector const BALLOONING_THETA_MAX_CAP = 16.5 const BALLOONING_THETA_SCALE_MULTIPLIER = 10.0 const MATCHING_POINT = 1e-3 +# Default ψ_N window for the α-boundary scan drivers: ballooning boundaries matter in the +# mid-radius and pedestal; the packed axis and far-edge surfaces only add scan cost. +const BALLOONING_SCAN_PSI_WINDOW = (0.1, 0.99) + +# Effective window [0.1, min(0.99, ψ_edge)]; the grid never extends past psihigh/psi_edge. +_in_ballooning_scan_window(psi::Float64, psi_edge::Float64) = + BALLOONING_SCAN_PSI_WINDOW[1] <= psi <= min(BALLOONING_SCAN_PSI_WINDOW[2], psi_edge) """ compute_ballooning_stability!(ctrl, locstab_fs, plasma_eq) @@ -835,7 +842,10 @@ Use this (not [`ballooning_alpha_boundaries`](@ref)) when only the 1st boundary needed, e.g. a pedestal-stability constraint. `n_scan` sets the scan resolution; raise it (e.g. 64) on edge surfaces where Δ' poles can shift a coarse first crossing. -Per-surface failures and surfaces with no boundary within range are returned as `NaN`. +The scan is evaluated only inside `BALLOONING_SCAN_PSI_WINDOW` — ballooning boundaries +are physically relevant in the mid-radius and pedestal, and the tightly packed axis and +far-edge surfaces dominate the scan cost. Per-surface failures, skipped surfaces, and +surfaces with no boundary within range are returned as `NaN`. """ function ballooning_alpha_boundary( ctrl::ForceFreeStatesControl, @@ -850,7 +860,7 @@ function ballooning_alpha_boundary( alpha_critical = fill(NaN, npsi) Threads.@threads :greedy for i in 1:npsi - xs[i] > 1.0 && continue + _in_ballooning_scan_window(xs[i], xs[end]) || continue try alpha[i] = salpha_reference(i, plasma_eq).alpha_ref alpha_critical[i] = critical_ballooning_alpha(i, plasma_eq; theta_k=theta_k, n_scan=n_scan).alpha_crit @@ -897,7 +907,8 @@ boundary exists. `n_scan` sets the scan resolution of the crossing search; crossings closer together than the scan step can be missed, which shows up as isolated outliers on otherwise -smooth boundary curves. +smooth boundary curves. Surfaces outside `BALLOONING_SCAN_PSI_WINDOW` are skipped +(returned as `NaN`), like per-surface failures. """ function ballooning_alpha_boundaries( ctrl::ForceFreeStatesControl, @@ -914,7 +925,7 @@ function ballooning_alpha_boundaries( alpha_critical2 = fill(NaN, npsi) Threads.@threads :greedy for i in 1:npsi - xs[i] > 1.0 && continue + _in_ballooning_scan_window(xs[i], xs[end]) || continue try cr = ballooning_alpha_crossings(i, plasma_eq; theta_k=theta_k, max_alpha_scale=max_alpha_scale, n_scan=n_scan) alpha[i] = cr.reference.alpha_ref From 2db28150a71ffb60dabf7fd2020665e9c6cae47f Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:53:15 -0400 Subject: [PATCH 09/20] EQUIL - MINOR - Add q-vs-iota edge representation benchmark Quantifies knots-vs-accuracy for cubic splines of q versus iota = 1/q on the DIII-D-like example: iota gives a modest constant-factor improvement (~1.2-2x at coarse N) but the same convergence order, confirming that wholesale iota replacement is not warranted for grids ending inside the separatrix. Co-Authored-By: Claude Fable 5 --- benchmarks/benchmark_q_vs_iota_edge.jl | 108 +++++++++++++++++++++++++ 1 file changed, 108 insertions(+) create mode 100644 benchmarks/benchmark_q_vs_iota_edge.jl diff --git a/benchmarks/benchmark_q_vs_iota_edge.jl b/benchmarks/benchmark_q_vs_iota_edge.jl new file mode 100644 index 000000000..e258fb457 --- /dev/null +++ b/benchmarks/benchmark_q_vs_iota_edge.jl @@ -0,0 +1,108 @@ +# Quantifies whether splining iota = 1/q instead of q would reduce the knot count needed +# for a given edge accuracy (GitHub discussion around the auto-grid redesign; PR #179 +# lineage owns any production iota work). For a grid ending at psihigh < 1, interpolation +# error transforms as err_q ≈ err_iota · q², cancelling the flattening of the profile, so +# no leading-order gain is expected — this script documents that with numbers on the +# DIII-D-like example equilibrium. +# +# Usage: julia --project=. benchmarks/benchmark_q_vs_iota_edge.jl +# Outputs (not committed): benchmarks/q_vs_iota_edge.csv, benchmarks/q_vs_iota_edge.png + +using Pkg; +Pkg.activate(joinpath(@__DIR__, "..")) +using GeneralizedPerturbedEquilibrium +using FastInterpolations +using Printf +using Plots + +const GPE = GeneralizedPerturbedEquilibrium +const EXAMPLE_DIR = joinpath(@__DIR__, "..", "examples", "DIIID-like_ideal_example") + +# Dense ldp reference equilibrium: treat its q(ψ) as ground truth +function reference_q() + _, eq_config, additional_input = GPE.build_inputs_from_toml(EXAMPLE_DIR) + eq_config.grid_type = "ldp" + eq_config.mpsi = 1024 + equil = GPE.Equilibrium.setup_equilibrium(eq_config, additional_input) + return equil, eq_config +end + +# Rational surface ψ_s(q = m/n) and q'(ψ_s) recovered from a fitted spline by bisection +function rational_locations(q_itp, dq_itp, psis, q_targets) + out = Dict{Float64,Tuple{Float64,Float64}}() + for qt in q_targets + lo, hi = psis[1], psis[end] + (q_itp(lo) - qt) * (q_itp(hi) - qt) > 0 && continue + for _ in 1:200 + mid = 0.5 * (lo + hi) + (q_itp(lo) - qt) * (q_itp(mid) - qt) <= 0 ? (hi = mid) : (lo = mid) + end + ps = 0.5 * (lo + hi) + out[qt] = (ps, dq_itp(ps)) + end + return out +end + +function main() + equil, eq_config = reference_q() + xs_ref = equil.profiles.xs + q_ref_itp = equil.profiles.q_spline + dq_ref_itp = equil.profiles.q_deriv + psilow, psihigh = xs_ref[1], xs_ref[end] + + q_lo = ceil(q_ref_itp(psilow)) + q_hi = floor(q_ref_itp(psihigh)) + q_targets = collect(q_lo:q_hi) # n=1 rationals + ref_rats = rational_locations(q_ref_itp, dq_ref_itp, xs_ref, q_targets) + + psi_eval = collect(range(psilow, psihigh; length=4001)) + edge_band = psi_eval .> 0.9 + + rows = String[] + push!(rows, "N,repr,max_rel_q_err,edge_rel_q_err,edge_rel_qprime_err,max_psi_s_err,max_rel_q1_err") + results = Dict{String,Vector{NTuple{2,Float64}}}("q" => [], "iota" => []) + + for N in (16, 32, 64, 128, 256) + # Same log_asymptotic knot layout the auto grid uses for fixed mpsi + cfg = deepcopy(eq_config) + cfg.mpsi = N + knots = GPE.Equilibrium._build_psi_grid(cfg, psilow, psihigh) + q_nodes = [q_ref_itp(p) for p in knots] + + for repr in ("q", "iota") + itp = repr == "q" ? cubic_interp(knots, q_nodes; extrap=ExtendExtrap()) : + cubic_interp(knots, 1.0 ./ q_nodes; extrap=ExtendExtrap()) + ditp = deriv1(itp) + qf = repr == "q" ? (p -> itp(p)) : (p -> 1.0 / itp(p)) + dqf = repr == "q" ? (p -> ditp(p)) : (p -> -ditp(p) / itp(p)^2) # q' = -ι'/ι² + + q_err = [abs(qf(p) - q_ref_itp(p)) / abs(q_ref_itp(p)) for p in psi_eval] + dq_err = [abs(dqf(p) - dq_ref_itp(p)) / max(abs(dq_ref_itp(p)), 1e-10) for p in psi_eval] + rats = rational_locations(qf, dqf, knots, q_targets) + psi_s_err = maximum(abs(rats[qt][1] - ref_rats[qt][1]) for qt in keys(ref_rats); init=0.0) + q1_err = maximum(abs(rats[qt][2] - ref_rats[qt][2]) / abs(ref_rats[qt][2]) for qt in keys(ref_rats); init=0.0) + + push!(rows, @sprintf("%d,%s,%.3e,%.3e,%.3e,%.3e,%.3e", + N, repr, maximum(q_err), maximum(q_err[edge_band]), maximum(dq_err[edge_band]), psi_s_err, q1_err)) + push!(results[repr], (Float64(N), maximum(q_err[edge_band]))) + end + end + + csv_path = joinpath(@__DIR__, "q_vs_iota_edge.csv") + open(csv_path, "w") do io + foreach(r -> println(io, r), rows) + end + println("Wrote ", abspath(csv_path)) + foreach(println, rows) + + p = plot(; xscale=:log10, yscale=:log10, xlabel="knots N", ylabel="max relative q error, ψ > 0.9", + title="q-spline vs ι-spline edge accuracy", legend=:topright, left_margin=12Plots.mm, bottom_margin=4Plots.mm) + for (repr, pts) in results + plot!(p, first.(pts), last.(pts); marker=:circle, lw=2, label="$repr-spline") + end + png_path = joinpath(@__DIR__, "q_vs_iota_edge.png") + savefig(p, png_path) + println("Wrote ", abspath(png_path)) +end + +main() From 84e88273d4700cb796fd39e3a1f08aa7f5515e65 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:53:16 -0400 Subject: [PATCH 10/20] EQUIL - MINOR - Document two-pass auto grid (docstrings, equilibrium.md, example annotations) Co-Authored-By: Claude Fable 5 --- docs/src/equilibrium.md | 46 +++++++++++++------ .../gpec.toml | 4 +- .../gpec.toml | 4 +- examples/DIIID-like_ideal_example/gpec.toml | 4 +- .../DIIID-like_ideal_example_IMAS/gpec.toml | 2 +- examples/LAR_beta_scan/gpec.toml | 2 +- examples/LAR_epsilon_scan/gpec.toml | 2 +- examples/Solovev_ideal_example/gpec.toml | 2 +- examples/Solovev_ideal_example_3D/gpec.toml | 2 +- .../Solovev_ideal_example_multi_n/gpec.toml | 2 +- .../single_n_1/gpec.toml | 2 +- .../single_n_2/gpec.toml | 2 +- src/Equilibrium/EquilibriumTypes.jl | 10 ++-- .../gpec.toml | 2 +- .../gpec.toml | 2 +- .../gpec.toml | 2 +- .../gpec.toml | 2 +- .../gpec.toml | 2 +- 18 files changed, 57 insertions(+), 37 deletions(-) diff --git a/docs/src/equilibrium.md b/docs/src/equilibrium.md index eefd99835..379984e66 100644 --- a/docs/src/equilibrium.md +++ b/docs/src/equilibrium.md @@ -57,21 +57,37 @@ tuning is needed. ## Radial grid packing -The default `grid_type = "log_asymptotic"` uses a three-region grid that respects -the asymptotic behavior of q near both the magnetic axis and the separatrix: - -- **Core** (ψ < 0.15): geometric spacing in log(ψ) — handles the axis where profiles - behave as ψⁿ -- **Middle** (0.15 ≤ ψ ≤ 0.95): uniform spacing — preserves resolution through the - pedestal region -- **Edge** (ψ > 0.95): geometric spacing in log(1−ψ) — tracks the logarithmic - divergence q ~ −A·ln(1−ψ) near a diverted separatrix - -With `mpsi = 0` (the default), the number of radial knots is chosen automatically -from the `psi_accuracy` parameter (target absolute error in q). Two probe field-line -integrations near psihigh estimate the local log-slope A, and the knot count is set so -the cubic spline error stays below `psi_accuracy` throughout the domain. The legacy -`grid_type = "ldp"` (sin²-spaced) and explicit `mpsi` are still supported. +With `grid_type = "log_asymptotic"` and `mpsi = 0` (the defaults), the radial grid is +built by a **two-pass measured-curvature refinement** driven by the single accuracy knob +`psi_accuracy` (τ): + +1. **Pass 1** forms the equilibrium on a coarse three-region layout (geometric in + log(ψ) at the core, uniform in the middle, geometric in log(1−ψ) at the edge). +2. A knot density is derived from the *measured* pass-1 data using the cubic-spline + derivative error model err(f′) ≈ h³|f''''|/24 ≤ τ·|f|. Fourth derivatives are + estimated by divided differences on the pass-1 nodes only — nodal values come from + independent field-line integrations, so the estimate is immune to inter-knot spline + ringing. The density combines, by max: + - the 1D profiles F, P, dV/dψ, and q; + - the 2D geometry channels (r², η-offset, ν, Jacobian) along sampled θ-lines, since + the bicubic ψ-axis shares the same knots; + - the kinetic profiles (n, T, ω_E) when loaded, so steep pedestal gradients attract + knots; + - a-priori geometric floors at the core and edge (uniform relative q′ error against + the separatrix asymptote q ~ −A·ln(1−ψ), independent of A); + - local packing around every rational surface q = m/n in the requested n range, + which the main driver pins as mandatory knots. +3. The density integral is equidistributed into the knot vector, mandatory + rational-surface knots are inserted with a minimum-spacing snap guard, and + **pass 2** re-forms the equilibrium on the refined grid from the in-memory input + (no file re-read). + +Every region's knot count scales as τ^(-1/3), so tightening `psi_accuracy` refines +the core, pedestal, and edge proportionally. The legacy `grid_type = "ldp"` +(sin²-spaced), `"pow1"`, `"uniform"`, and explicit `mpsi > 0` (single-pass, fixed +layout) are still supported. Library users calling `setup_equilibrium` directly with +`mpsi = 0` receive the coarse pass-1 grid; use `refined_psi_grid` and the +`override_psi_nodes` keyword to apply the refinement manually. ## API Reference diff --git a/examples/DIIID-like_gal_resistive_example/gpec.toml b/examples/DIIID-like_gal_resistive_example/gpec.toml index 4a816e509..5e58f9156 100644 --- a/examples/DIIID-like_gal_resistive_example/gpec.toml +++ b/examples/DIIID-like_gal_resistive_example/gpec.toml @@ -8,8 +8,8 @@ power_r = 0 # Major radius power exponent for Jacobian grid_type = "ldp" # Radial grid packing type (ldp = linear-derivative packing toward rationals) psilow = 1e-4 # Lower limit of normalized flux coordinate psihigh = 0.993 # Upper limit of normalized flux coordinate (0.993 stays clear of the separatrix; truncating at ≳0.998 is numerically unreasonable here) -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) -psi_accuracy = 0.001 # Target absolute error in q for auto-mpsi +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) +psi_accuracy = 0.001 # Target relative accuracy of splined profile derivatives for the auto grid mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-10 # Error tolerance for equilibrium solver diff --git a/examples/DIIID-like_gal_resistive_pe_example/gpec.toml b/examples/DIIID-like_gal_resistive_pe_example/gpec.toml index 66345e633..1fa209f0d 100644 --- a/examples/DIIID-like_gal_resistive_pe_example/gpec.toml +++ b/examples/DIIID-like_gal_resistive_pe_example/gpec.toml @@ -8,8 +8,8 @@ power_r = 0 # Major radius power exponent for Jacobian grid_type = "ldp" # Radial grid packing type (ldp = linear-derivative packing toward rationals) psilow = 1e-4 # Lower limit of normalized flux coordinate psihigh = 0.993 # Upper limit of normalized flux coordinate (0.993 stays clear of the separatrix; truncating at ≳0.998 is numerically unreasonable here) -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) -psi_accuracy = 0.001 # Target absolute error in q for auto-mpsi +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) +psi_accuracy = 0.001 # Target relative accuracy of splined profile derivatives for the auto grid mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-10 # Error tolerance for equilibrium solver diff --git a/examples/DIIID-like_ideal_example/gpec.toml b/examples/DIIID-like_ideal_example/gpec.toml index ed99887ab..54fa6cbb7 100644 --- a/examples/DIIID-like_ideal_example/gpec.toml +++ b/examples/DIIID-like_ideal_example/gpec.toml @@ -10,8 +10,8 @@ jac_type = "hamada" # Coordinate system (hamada, pest, boozer, equal_ grid_type = "log_asymptotic" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 0 # Number of radial grid points (0 = auto-compute from psi_accuracy) -psi_accuracy = 0.001 # Target absolute error in q for auto-mpsi +mpsi = 0 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) +psi_accuracy = 0.001 # Target relative accuracy of splined profile derivatives for the auto grid mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-10 # Error tolerance for equilibrium solver diff --git a/examples/DIIID-like_ideal_example_IMAS/gpec.toml b/examples/DIIID-like_ideal_example_IMAS/gpec.toml index dbf4f872a..72be85151 100644 --- a/examples/DIIID-like_ideal_example_IMAS/gpec.toml +++ b/examples/DIIID-like_ideal_example_IMAS/gpec.toml @@ -13,7 +13,7 @@ eq_filename = "from_dd" # Path to equilibrium file (placeholder: equilibr jac_type = "boozer" # Coordinate system (hamada, pest, boozer, equal_arc, park, other) psilow = 0.01 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points imas_cocos = 11 # Expected COCOS convention of the input IMAS dd (11 = IMAS standard) diff --git a/examples/LAR_beta_scan/gpec.toml b/examples/LAR_beta_scan/gpec.toml index c4d1f3162..37ca130bf 100644 --- a/examples/LAR_beta_scan/gpec.toml +++ b/examples/LAR_beta_scan/gpec.toml @@ -13,7 +13,7 @@ jac_type = "hamada" # Coordinate system (hamada, pest, boozer, equal_ grid_type = "ldp" # Radial grid packing type psilow = 0.01 # Lower limit of normalized poloidal flux psihigh = 0.995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 512 # Number of poloidal grid points # TJ-analytic equilibrium parameters (cf. R. Fitzpatrick, TJ code, https://github.com/rfitzp/TJ). diff --git a/examples/LAR_epsilon_scan/gpec.toml b/examples/LAR_epsilon_scan/gpec.toml index 0c8fceb3c..e8d6bfbd7 100644 --- a/examples/LAR_epsilon_scan/gpec.toml +++ b/examples/LAR_epsilon_scan/gpec.toml @@ -13,7 +13,7 @@ jac_type = "hamada" # Coordinate system (hamada, pest, boozer, equal_ grid_type = "ldp" # Radial grid packing type psilow = 0.01 # Lower limit of normalized poloidal flux psihigh = 0.995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 512 # Number of poloidal grid points # TJ-analytic equilibrium parameters (cf. R. Fitzpatrick, TJ code, https://github.com/rfitzp/TJ). diff --git a/examples/Solovev_ideal_example/gpec.toml b/examples/Solovev_ideal_example/gpec.toml index d9fc70d23..5dc4fbc91 100644 --- a/examples/Solovev_ideal_example/gpec.toml +++ b/examples/Solovev_ideal_example/gpec.toml @@ -9,7 +9,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/examples/Solovev_ideal_example_3D/gpec.toml b/examples/Solovev_ideal_example_3D/gpec.toml index 3d1caa78d..db42a7b18 100644 --- a/examples/Solovev_ideal_example_3D/gpec.toml +++ b/examples/Solovev_ideal_example_3D/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/examples/Solovev_ideal_example_multi_n/gpec.toml b/examples/Solovev_ideal_example_multi_n/gpec.toml index b17ab0439..745dcb07d 100644 --- a/examples/Solovev_ideal_example_multi_n/gpec.toml +++ b/examples/Solovev_ideal_example_multi_n/gpec.toml @@ -9,7 +9,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/examples/Solovev_ideal_example_multi_n/single_n_1/gpec.toml b/examples/Solovev_ideal_example_multi_n/single_n_1/gpec.toml index 650cfe314..1ce1fc73a 100644 --- a/examples/Solovev_ideal_example_multi_n/single_n_1/gpec.toml +++ b/examples/Solovev_ideal_example_multi_n/single_n_1/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/examples/Solovev_ideal_example_multi_n/single_n_2/gpec.toml b/examples/Solovev_ideal_example_multi_n/single_n_2/gpec.toml index e95f0cc94..14ea5d64c 100644 --- a/examples/Solovev_ideal_example_multi_n/single_n_2/gpec.toml +++ b/examples/Solovev_ideal_example_multi_n/single_n_2/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 128 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 128 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/src/Equilibrium/EquilibriumTypes.jl b/src/Equilibrium/EquilibriumTypes.jl index 6fa0d9afd..9bf1ca76a 100644 --- a/src/Equilibrium/EquilibriumTypes.jl +++ b/src/Equilibrium/EquilibriumTypes.jl @@ -19,11 +19,15 @@ Bundles all necessary settings originally specified in the equil fortran namelis - `power_rc::Int` - Minor radius (rfac = √((R-R₀)²+(Z-Z₀)²)) power exponent for Jacobian - `r0exp::Float64` - Major radius normalization for CHEASE/EQDSK [m] - `b0exp::Float64` - On-axis toroidal field normalization for CHEASE/EQDSK [T] - - `grid_type::String` - Grid type for flux surface discretization ("log_asymptotic", "ldp", "pow1") + - `grid_type::String` - Grid type for flux surface discretization ("log_asymptotic", "ldp", "pow1", "uniform") - `psilow::Float64` - Lower limit of normalized flux coordinate - `psihigh::Float64` - Upper limit of normalized flux coordinate - - `mpsi::Int` - Number of radial grid points (0 = auto-compute from psi_accuracy) - - `psi_accuracy::Float64` - Target absolute error in q for auto-mpsi (used when mpsi=0 and grid_type="log_asymptotic") + - `mpsi::Int` - Number of radial grid intervals; 0 with grid_type="log_asymptotic" selects the + two-pass auto grid: the main driver forms a coarse pass-1 equilibrium, measures its curvature, + pins knots on rational surfaces, and re-forms on the refined grid. Standalone `setup_equilibrium` + callers get the coarse pass-1 grid unless they refine via `refined_psi_grid` + `override_psi_nodes`. + - `psi_accuracy::Float64` - Target relative accuracy τ of splined profile derivatives for the + two-pass auto grid (knot count scales as τ^(-1/3)) - `mtheta::Int` - Number of poloidal grid points - `newq0::Int` - Override for on-axis safety factor (0 = use input value) - `etol::Float64` - Error tolerance for equilibrium solver diff --git a/test/test_data/regression_solovev_ideal_example/gpec.toml b/test/test_data/regression_solovev_ideal_example/gpec.toml index e0b346777..f99079f3d 100644 --- a/test/test_data/regression_solovev_ideal_example/gpec.toml +++ b/test/test_data/regression_solovev_ideal_example/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 16 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 16 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/test/test_data/regression_solovev_ideal_example_multi_n/gpec.toml b/test/test_data/regression_solovev_ideal_example_multi_n/gpec.toml index 02e3fcd1a..d048740ac 100644 --- a/test/test_data/regression_solovev_ideal_example_multi_n/gpec.toml +++ b/test/test_data/regression_solovev_ideal_example_multi_n/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 16 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 16 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/test/test_data/regression_solovev_kinetic_calculated/gpec.toml b/test/test_data/regression_solovev_kinetic_calculated/gpec.toml index 272249973..215c7d1eb 100644 --- a/test/test_data/regression_solovev_kinetic_calculated/gpec.toml +++ b/test/test_data/regression_solovev_kinetic_calculated/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 16 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 16 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/test/test_data/regression_solovev_kinetic_example/gpec.toml b/test/test_data/regression_solovev_kinetic_example/gpec.toml index 8f3369c17..26396d758 100644 --- a/test/test_data/regression_solovev_kinetic_example/gpec.toml +++ b/test/test_data/regression_solovev_kinetic_example/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 16 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 16 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver diff --git a/test/test_data/regression_solovev_kinetic_multi_n/gpec.toml b/test/test_data/regression_solovev_kinetic_multi_n/gpec.toml index e318749fb..b4244ef18 100644 --- a/test/test_data/regression_solovev_kinetic_multi_n/gpec.toml +++ b/test/test_data/regression_solovev_kinetic_multi_n/gpec.toml @@ -8,7 +8,7 @@ jac_type = "pest" # Coordinate system (hamada, pest, booze grid_type = "ldp" # Radial grid packing type psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux -mpsi = 16 # Number of radial grid points (0 = auto-compute from psi_accuracy) +mpsi = 16 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) mtheta = 256 # Number of poloidal grid points newq0 = 0 # Override for on-axis safety factor (0 = use input value) etol = 1e-7 # Error tolerance for equilibrium solver From 9ba8725de280b4e286865918c6ae3abe4d9083c5 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 18:58:30 -0400 Subject: [PATCH 11/20] TEST - IMPROVEMENT - Pin DIIID parallel-integration testsets to ldp/mpsi=256 grid These testsets target the bidirectional FM integration and STRIDE BVP machinery, so they now pin the radial grid instead of inheriting the example default (mpsi=0), which previously baked the defective one-pass auto grid into the pinned values and would otherwise move whenever the auto grid evolves. Re-pins et_par and the delta-prime diagonals to the ldp-256 values: q=2,3,4 real parts are grid-converged and pinned tightly; the near-separatrix q=5,6 entries are not grid-converged (value and sign vary O(1) between grids) and are now asserted finite and non-zero only. Co-Authored-By: Claude Fable 5 --- test/runtests_parallel_integration.jl | 65 ++++++++++++++------------- 1 file changed, 35 insertions(+), 30 deletions(-) diff --git a/test/runtests_parallel_integration.jl b/test/runtests_parallel_integration.jl index 26afbbd6a..e6df22a9d 100644 --- a/test/runtests_parallel_integration.jl +++ b/test/runtests_parallel_integration.jl @@ -284,6 +284,11 @@ using TOML inputs["ForceFreeStates"]["verbose"] = false inputs["ForceFreeStates"]["use_parallel"] = use_parallel inputs["ForceFreeStates"]["write_outputs_to_HDF5"] = false + # Pin the grid: this testset targets the integration machinery, so it must not + # move when the auto-grid (two-pass, driver-orchestrated) evolves. The example + # ships mpsi=0, which standalone setup_equilibrium forms as the coarse pass-1 grid. + inputs["Equilibrium"]["grid_type"] = "ldp" + inputs["Equilibrium"]["mpsi"] = 256 intr = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesInternal(; dir_path=ex) ctrl = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesControl(; (Symbol(k) => v for (k, v) in inputs["ForceFreeStates"])...) @@ -309,15 +314,13 @@ using TOML et_par, intr_par = run_diiid(true) - # Parallel FM et[1] regression. The bidirectional fix gives et ≈ 1.5–1.6 with - # set_psilim_via_dmlim = true (production diverted convention; DIIID-like example - # sets it explicitly). With the previous default (false) this was ≈ 1.29. Single- - # point pinning of et_par is platform-sensitive at the few-percent level (BLAS - # variant / FP rounding through the BVP solve and outer-plasma Riccati pass shift - # the eigenvalue ~5-10 %), so we bracket the eigenvalue rather than pin a tight - # value. A true regression of the bidirectional assembly (et ≈ 1.29 or ≈ 2+) still - # fails this bracket loudly. - @test 1.4 < et_par < 1.7 + # Parallel FM et[1] regression on the pinned ldp/mpsi=256 grid, where the + # bidirectional assembly gives et ≈ 1.20. Single-point pinning of et_par is + # platform-sensitive at the few-percent level (BLAS variant / FP rounding through + # the BVP solve and outer-plasma Riccati pass shift the eigenvalue ~5-10 %), so we + # bracket the eigenvalue rather than pin a tight value. A true regression of the + # bidirectional assembly (an O(10%)+ energy error) still fails this bracket loudly. + @test 1.1 < et_par < 1.3 # Per-surface Δ' assertions removed (stub calculation; see Solovev testset # comment above). BVP Δ' matrix regression for DIIID-like is in the # `delta_prime_matrix — STRIDE BVP DIIID-like regression (large N)` testset. @@ -490,6 +493,11 @@ using TOML inputs["ForceFreeStates"]["verbose"] = false inputs["ForceFreeStates"]["use_parallel"] = true inputs["ForceFreeStates"]["write_outputs_to_HDF5"] = false + # Pin the grid: this testset targets the BVP assembly, so it must not move when + # the auto-grid (two-pass, driver-orchestrated) evolves. The example ships mpsi=0, + # which standalone setup_equilibrium forms as the coarse pass-1 grid. + inputs["Equilibrium"]["grid_type"] = "ldp" + inputs["Equilibrium"]["mpsi"] = 256 intr = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesInternal(; dir_path=ex) ctrl = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesControl(; (Symbol(k) => v for (k, v) in inputs["ForceFreeStates"])...) @@ -533,27 +541,24 @@ using TOML end # Pinned diagonal `delta_prime_matrix` values for the DIIID-like case (msing = 5), - # PEST3-convention self-response Δ' from the STRIDE BVP with vacuum coupling. - # Tolerances are split by entry magnitude / |Im|/|Re| ratio (audit V4): - # - dpm[1], dpm[2]: nearly-real entries (|Im|/|Re| < 0.02). Platform-stable; rtol=1e-2. - # - dpm[3]: complex entry with |Im| ≈ |Re| (both ~10). Modest FP sensitivity in the - # PEST3 cancellation. rtol=5e-2 catches sign/normalization regressions while - # accepting ~2-3% imaginary-part drift across BLAS variants. - # - dpm[4], dpm[5]: |Im| is highly sensitive to FP round-off in the PEST3 four-term - # cancellation (dp_raw entries can be 10⁴–10⁵× larger than the result). The - # imaginary part drifts by 2–5× across platforms even with `extended_precision_bvp=true`. - # Pin only the real part tightly; bracket |dpm| to catch sign/normalization errors. - # dpm[1], dpm[2] re-pinned when FourierCoefficients began dropping the duplicated θ=2π - # endpoint before the FFT (faithful Fortran fspline_fit_2, equil/fspline.f:293): the old - # un-trimmed FFT double-counted θ=0, biasing the metric DC coefficient. dpm[3]–dpm[5] - # shifted too but stay within their wider tolerances. - @test isapprox(dpm[1, 1], +8.672812e+00 + 2.139354e-02im; rtol=1e-2) - @test isapprox(dpm[2, 2], -3.890689e+00 - 5.121123e-02im; rtol=1e-2) - @test isapprox(dpm[3, 3], -9.137656e+00 + 7.704888e+00im; rtol=5e-2) - @test isapprox(real(dpm[4, 4]), +5.790777e+03; rtol=5e-2) - @test isapprox(real(dpm[5, 5]), -2.940021e+02; rtol=5e-2) - @test 1e3 < abs(dpm[4, 4]) < 1e5 # |dpm[4,4]| ≈ 6e3; catches sign/normalization errors - @test 1e2 < abs(dpm[5, 5]) < 1e3 # |dpm[5,5]| ≈ 3e2; catches sign/normalization errors + # PEST3-convention self-response Δ' from the STRIDE BVP with vacuum coupling, on + # the pinned ldp/mpsi=256 grid. Tolerances split by grid- and FP-sensitivity: + # - dpm[1]–dpm[3] (q=2,3,4): real parts are grid-converged (agree with denser + # ldp-512 and refined two-pass grids to a few %); pin Re at rtol=2e-2. The + # imaginary parts arise from the PEST3 four-term cancellation and drift in + # magnitude and sign with grid and BLAS variant; bound |Im| relative to |Re|. + # - dpm[4], dpm[5] (q=5,6 near-separatrix): not grid-converged — value and sign + # vary O(1) between ldp-256/512 and refined grids. Assert finite and non-zero + # only (the earlier tight pins tracked a single grid's noise, not physics). + @test isapprox(real(dpm[1, 1]), +8.787850e+00; rtol=2e-2) + @test isapprox(real(dpm[2, 2]), -3.883926e+00; rtol=2e-2) + @test isapprox(real(dpm[3, 3]), -1.021928e+01; rtol=5e-2) + @test abs(imag(dpm[1, 1])) < 0.05 * abs(real(dpm[1, 1])) + @test abs(imag(dpm[2, 2])) < 0.05 * abs(real(dpm[2, 2])) + for j in 4:5 + @test isfinite(dpm[j, j]) + @test abs(dpm[j, j]) > 1.0 + end end end From 0f0d9bba439157ced9fdc3ef3f70765ef5245947 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 19:11:54 -0400 Subject: [PATCH 12/20] EQUIL - MINOR - Physics-review robustness: positivity precondition in equidistribution, IMAS rerun note Co-Authored-By: Claude Fable 5 --- src/Equilibrium/GridRefinement.jl | 4 +++- src/GeneralizedPerturbedEquilibrium.jl | 5 ++++- 2 files changed, 7 insertions(+), 2 deletions(-) diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index 856686147..1f5e31908 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -223,9 +223,11 @@ end Place N+1 nodes over [xs[1], xs[end]] by equidistributing the density integral M(ψ) = ∫ρ dψ (trapezoid on the sample nodes, piecewise-linear inversion). Endpoints are -exactly xs[1] and xs[end]; interior nodes are strictly increasing since ρ > 0. +exactly xs[1] and xs[end]; interior nodes are strictly increasing since ρ > 0, which is +a required precondition (a zero density would make M non-invertible). """ function _equidistribute(xs::Vector{Float64}, rho::Vector{Float64}, N::Int) + all(>(0), rho) || error("_equidistribute requires strictly positive density") n = length(xs) M = zeros(Float64, n) @inbounds for i in 2:n diff --git a/src/GeneralizedPerturbedEquilibrium.jl b/src/GeneralizedPerturbedEquilibrium.jl index c6c809e50..2350a08fc 100755 --- a/src/GeneralizedPerturbedEquilibrium.jl +++ b/src/GeneralizedPerturbedEquilibrium.jl @@ -237,7 +237,10 @@ function main_from_inputs( psi_nodes = Equilibrium.refined_psi_grid(equil; tau=eq_config.psi_accuracy, kin=kinetic_profiles, mandatory=mandatory) rerun_input = if additional_input !== nothing - additional_input # analytic *Config, IMAS dd, or prebuilt RunInput — all re-formable + # Analytic *Config, IMAS dd, or prebuilt RunInput — all re-formable. The IMAS + # path re-runs read_imas, which must resolve the same psihigh both passes; + # _validate_psi_nodes errors loudly if it does not. + additional_input elseif equil.ingest isa Equilibrium.DirectIngest Equilibrium.build_direct_from_ingest(eq_config, equil.ingest) elseif equil.ingest isa Equilibrium.InverseIngest From d4af63825ae932fe536f1ad3d460e888afeb0e26 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 20:54:00 -0400 Subject: [PATCH 13/20] EQUIL - REFACTOR - Rename auto grid_type from log_asymptotic to auto MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The two-pass grid is a measured spline-derivative-error density with geometric floors, not a log-asymptotics model — q stays finite everywhere on the grid — so the old name misdescribed it. grid_type="auto" is the new default; "log_asymptotic" remains a working alias (two-pass when mpsi=0, the three-region log layout when mpsi>0), so no existing TOML breaks. Co-Authored-By: Claude Fable 5 --- docs/src/equilibrium.md | 9 ++++++++- examples/DIIID-like_ideal_example/gpec.toml | 2 +- src/Equilibrium/DirectEquilibrium.jl | 6 +++--- src/Equilibrium/EquilibriumTypes.jl | 8 +++++--- src/Equilibrium/GridRefinement.jl | 6 +++--- src/Equilibrium/InverseEquilibrium.jl | 2 +- test/runtests_grid_refinement.jl | 6 +++++- 7 files changed, 26 insertions(+), 13 deletions(-) diff --git a/docs/src/equilibrium.md b/docs/src/equilibrium.md index 379984e66..01e72a6d2 100644 --- a/docs/src/equilibrium.md +++ b/docs/src/equilibrium.md @@ -57,7 +57,7 @@ tuning is needed. ## Radial grid packing -With `grid_type = "log_asymptotic"` and `mpsi = 0` (the defaults), the radial grid is +With `grid_type = "auto"` and `mpsi = 0` (the defaults; `"log_asymptotic"` is a legacy alias), the radial grid is built by a **two-pass measured-curvature refinement** driven by the single accuracy knob `psi_accuracy` (τ): @@ -89,6 +89,13 @@ layout) are still supported. Library users calling `setup_equilibrium` directly `mpsi = 0` receive the coarse pass-1 grid; use `refined_psi_grid` and the `override_psi_nodes` keyword to apply the refinement manually. +The packing on the DIII-D-like example (n=1) compared to fixed `ldp` grids — note the +coarse spacing across the smooth mid-radius, the spacing dips at each rational surface, +and the core/pedestal/edge packing (`benchmarks/plot_grid_knot_placement.jl` regenerates +this figure): + +![Radial knot packing: auto two-pass vs ldp](assets/grid_knot_placement.png) + ## API Reference ```@autodocs diff --git a/examples/DIIID-like_ideal_example/gpec.toml b/examples/DIIID-like_ideal_example/gpec.toml index 54fa6cbb7..e4f26f237 100644 --- a/examples/DIIID-like_ideal_example/gpec.toml +++ b/examples/DIIID-like_ideal_example/gpec.toml @@ -7,7 +7,7 @@ eq_filename = "TkMkr_D3Dlike_Hmode.geqdsk" # Path to equilibrium file eq_type = "efit" # Type of the input 2D equilibrium file jac_type = "hamada" # Coordinate system (hamada, pest, boozer, equal_arc, park, other) -grid_type = "log_asymptotic" # Radial grid packing type +grid_type = "auto" # Radial grid packing type ("auto" = two-pass measured-curvature grid) psilow = 1e-4 # Lower limit of normalized poloidal flux psihigh = 0.9995 # Upper limit of normalized poloidal flux mpsi = 0 # Number of radial grid intervals (0 = two-pass auto grid from psi_accuracy) diff --git a/src/Equilibrium/DirectEquilibrium.jl b/src/Equilibrium/DirectEquilibrium.jl index ccb002d49..02f18410e 100644 --- a/src/Equilibrium/DirectEquilibrium.jl +++ b/src/Equilibrium/DirectEquilibrium.jl @@ -407,14 +407,14 @@ end Resolve `mpsi` and build `psi_nodes` for any supported `grid_type`. -For `"log_asymptotic"` with `mpsi=0` (the auto grid), this is the coarse pass-1 layout of +For `"auto"` (or the legacy alias `"log_asymptotic"`) with `mpsi=0`, this is the coarse pass-1 layout of the two-pass refinement — the main driver measures the formed equilibrium and re-forms on the `refined_psi_grid` result. Shared by `direct_fieldline_int` and `efit_by_inversion` solvers. """ function _build_psi_grid(equil_params, psilow, psihigh) mpsi = equil_params.mpsi - if equil_params.grid_type == "log_asymptotic" && mpsi == 0 && equil_params.psi_accuracy > 0 + if equil_params.grid_type in ("auto", "log_asymptotic") && mpsi == 0 && equil_params.psi_accuracy > 0 # Two-pass auto grid: this is the coarse pass-1 layout; the driver measures the # formed equilibrium's curvature and re-forms on a refined grid (GridRefinement.jl). mpsi = 128 @@ -423,7 +423,7 @@ function _build_psi_grid(equil_params, psilow, psihigh) mpsi = 128 end - psi_nodes = if equil_params.grid_type == "log_asymptotic" + psi_nodes = if equil_params.grid_type in ("auto", "log_asymptotic") # Distribute mpsi across the three regions by log-weights log_core = log(0.03 / psilow) log_mid = log(0.98 / 0.03) diff --git a/src/Equilibrium/EquilibriumTypes.jl b/src/Equilibrium/EquilibriumTypes.jl index 9bf1ca76a..40dce718a 100644 --- a/src/Equilibrium/EquilibriumTypes.jl +++ b/src/Equilibrium/EquilibriumTypes.jl @@ -19,10 +19,12 @@ Bundles all necessary settings originally specified in the equil fortran namelis - `power_rc::Int` - Minor radius (rfac = √((R-R₀)²+(Z-Z₀)²)) power exponent for Jacobian - `r0exp::Float64` - Major radius normalization for CHEASE/EQDSK [m] - `b0exp::Float64` - On-axis toroidal field normalization for CHEASE/EQDSK [T] - - `grid_type::String` - Grid type for flux surface discretization ("log_asymptotic", "ldp", "pow1", "uniform") + - `grid_type::String` - Grid type for flux surface discretization ("auto" — two-pass measured-curvature + refinement when mpsi=0, three-region log layout when mpsi>0; "ldp", "pow1", "uniform"; + "log_asymptotic" is a legacy alias for "auto") - `psilow::Float64` - Lower limit of normalized flux coordinate - `psihigh::Float64` - Upper limit of normalized flux coordinate - - `mpsi::Int` - Number of radial grid intervals; 0 with grid_type="log_asymptotic" selects the + - `mpsi::Int` - Number of radial grid intervals; 0 with grid_type="auto" selects the two-pass auto grid: the main driver forms a coarse pass-1 equilibrium, measures its curvature, pins knots on rational surfaces, and re-forms on the refined grid. Standalone `setup_equilibrium` callers get the coarse pass-1 grid unless they refine via `refined_psi_grid` + `override_psi_nodes`. @@ -46,7 +48,7 @@ Bundles all necessary settings originally specified in the equil fortran namelis power_r::Int = 0 power_rc::Int = 0 - grid_type::String = "log_asymptotic" + grid_type::String = "auto" psilow::Float64 = 1e-2 psihigh::Float64 = 0.9995 mpsi::Int = 0 diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index 1f5e31908..2fce25f58 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -45,11 +45,11 @@ const SING_PACK_RADIUS = 0.05 """ wants_two_pass(config::EquilibriumConfig) -> Bool -True when the config requests the automatic two-pass grid: `grid_type = "log_asymptotic"` -with `mpsi = 0` and a positive `psi_accuracy`. +True when the config requests the automatic two-pass grid: `grid_type = "auto"` (or its +legacy alias `"log_asymptotic"`) with `mpsi = 0` and a positive `psi_accuracy`. """ wants_two_pass(config::EquilibriumConfig) = - config.grid_type == "log_asymptotic" && config.mpsi == 0 && config.psi_accuracy > 0 + config.grid_type in ("auto", "log_asymptotic") && config.mpsi == 0 && config.psi_accuracy > 0 """ _validate_psi_nodes(psi_nodes, psilow, psihigh) -> Vector{Float64} diff --git a/src/Equilibrium/InverseEquilibrium.jl b/src/Equilibrium/InverseEquilibrium.jl index 42bb598be..01256e8ce 100644 --- a/src/Equilibrium/InverseEquilibrium.jl +++ b/src/Equilibrium/InverseEquilibrium.jl @@ -138,7 +138,7 @@ function equilibrium_solver(input::InverseRunInput; override_psi_nodes::Union{No if override_psi_nodes !== nothing sq_xs = _validate_psi_nodes(override_psi_nodes, psilow, psihigh) mpsi = length(sq_xs) - 1 - elseif grid_type == "log_asymptotic" + elseif grid_type in ("auto", "log_asymptotic") if mpsi == 0 && config.psi_accuracy > 0 # Two-pass auto grid: coarse pass-1 layout; the driver refines and re-forms # on the measured-curvature grid (GridRefinement.jl). diff --git a/test/runtests_grid_refinement.jl b/test/runtests_grid_refinement.jl index 0b1f6a26d..5c266fa89 100644 --- a/test/runtests_grid_refinement.jl +++ b/test/runtests_grid_refinement.jl @@ -101,11 +101,15 @@ const GridRef = GeneralizedPerturbedEquilibrium.Equilibrium @testset "Solovev two-pass integration" begin eq_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(; - eq_type="sol", grid_type="log_asymptotic", mpsi=0, psi_accuracy=1e-3, + eq_type="sol", grid_type="auto", mpsi=0, psi_accuracy=1e-3, psilow=0.01, psihigh=0.995) sol_config = GeneralizedPerturbedEquilibrium.Equilibrium.SolovevConfig() @test GridRef.wants_two_pass(eq_config) + # Legacy alias still selects the two-pass grid + alias_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(; + eq_type="sol", grid_type="log_asymptotic", mpsi=0, psi_accuracy=1e-3) + @test GridRef.wants_two_pass(alias_config) equil1 = GridRef.setup_equilibrium(eq_config, sol_config) From 42d9cf4a7b0cbcd25c8ec980c03b93750c7e80b8 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 20:54:00 -0400 Subject: [PATCH 14/20] TEST - IMPROVEMENT - Pin DIIID parallel-integration testsets to the production auto grid Per review: the auto grid is the production default, so the machinery testsets now build it exactly as the main driver does (rational_psi_nodes + refined_psi_grid + ingest re-form) and pin its values. The auto-vs-ldp512 convergence evidence is recorded on the PR; tightening psi_accuracy converges the pinned delta-prime entries toward the dense-reference values. Co-Authored-By: Claude Fable 5 --- test/runtests_parallel_integration.jl | 58 ++++++++++++++++----------- 1 file changed, 35 insertions(+), 23 deletions(-) diff --git a/test/runtests_parallel_integration.jl b/test/runtests_parallel_integration.jl index e6df22a9d..119001b24 100644 --- a/test/runtests_parallel_integration.jl +++ b/test/runtests_parallel_integration.jl @@ -284,16 +284,21 @@ using TOML inputs["ForceFreeStates"]["verbose"] = false inputs["ForceFreeStates"]["use_parallel"] = use_parallel inputs["ForceFreeStates"]["write_outputs_to_HDF5"] = false - # Pin the grid: this testset targets the integration machinery, so it must not - # move when the auto-grid (two-pass, driver-orchestrated) evolves. The example - # ships mpsi=0, which standalone setup_equilibrium forms as the coarse pass-1 grid. - inputs["Equilibrium"]["grid_type"] = "ldp" - inputs["Equilibrium"]["mpsi"] = 256 intr = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesInternal(; dir_path=ex) ctrl = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesControl(; (Symbol(k) => v for (k, v) in inputs["ForceFreeStates"])...) eq_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(inputs["Equilibrium"], ex) equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, haskey(inputs, "SOL_INPUT") ? GeneralizedPerturbedEquilibrium.Equilibrium.SolovevConfig(inputs["SOL_INPUT"]) : nothing) + # Apply the two-pass auto grid exactly as the main driver does (the example ships + # grid_type="auto", mpsi=0): rational-surface knots + measured-curvature refinement, + # re-formed from the captured ingest. The pinned values below are for this grid, + # which is the production default. + if GeneralizedPerturbedEquilibrium.Equilibrium.wants_two_pass(eq_config) + mand = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_nodes(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high) + psi_nodes = GeneralizedPerturbedEquilibrium.Equilibrium.refined_psi_grid(equil; tau=eq_config.psi_accuracy, mandatory=mand) + rerun_input = GeneralizedPerturbedEquilibrium.Equilibrium.build_direct_from_ingest(eq_config, equil.ingest) + equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, rerun_input; override_psi_nodes=psi_nodes) + end intr.wall_settings = GeneralizedPerturbedEquilibrium.Vacuum.WallShapeSettings(; (Symbol(k) => v for (k, v) in inputs["Wall"])...) GeneralizedPerturbedEquilibrium.ForceFreeStates.sing_lim!(intr, ctrl, equil) @@ -314,13 +319,14 @@ using TOML et_par, intr_par = run_diiid(true) - # Parallel FM et[1] regression on the pinned ldp/mpsi=256 grid, where the - # bidirectional assembly gives et ≈ 1.20. Single-point pinning of et_par is - # platform-sensitive at the few-percent level (BLAS variant / FP rounding through - # the BVP solve and outer-plasma Riccati pass shift the eigenvalue ~5-10 %), so we - # bracket the eigenvalue rather than pin a tight value. A true regression of the + # Parallel FM et[1] regression on the production-default two-pass auto grid, where + # the bidirectional assembly gives et ≈ 1.31 (ldp/mpsi=256 gives ≈ 1.20 — the + # eigenvalue is grid-sensitive at the ~10% level at these knot counts). Single-point + # pinning of et_par is platform-sensitive at the few-percent level (BLAS variant / + # FP rounding through the BVP solve and outer-plasma Riccati pass), so we bracket + # the eigenvalue rather than pin a tight value. A true regression of the # bidirectional assembly (an O(10%)+ energy error) still fails this bracket loudly. - @test 1.1 < et_par < 1.3 + @test 1.2 < et_par < 1.45 # Per-surface Δ' assertions removed (stub calculation; see Solovev testset # comment above). BVP Δ' matrix regression for DIIID-like is in the # `delta_prime_matrix — STRIDE BVP DIIID-like regression (large N)` testset. @@ -493,16 +499,19 @@ using TOML inputs["ForceFreeStates"]["verbose"] = false inputs["ForceFreeStates"]["use_parallel"] = true inputs["ForceFreeStates"]["write_outputs_to_HDF5"] = false - # Pin the grid: this testset targets the BVP assembly, so it must not move when - # the auto-grid (two-pass, driver-orchestrated) evolves. The example ships mpsi=0, - # which standalone setup_equilibrium forms as the coarse pass-1 grid. - inputs["Equilibrium"]["grid_type"] = "ldp" - inputs["Equilibrium"]["mpsi"] = 256 intr = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesInternal(; dir_path=ex) ctrl = GeneralizedPerturbedEquilibrium.ForceFreeStates.ForceFreeStatesControl(; (Symbol(k) => v for (k, v) in inputs["ForceFreeStates"])...) eq_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(inputs["Equilibrium"], ex) equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, haskey(inputs, "SOL_INPUT") ? GeneralizedPerturbedEquilibrium.Equilibrium.SolovevConfig(inputs["SOL_INPUT"]) : nothing) + # Apply the two-pass auto grid exactly as the main driver does (see the FM testset + # above); the pinned values below are for this grid, the production default. + if GeneralizedPerturbedEquilibrium.Equilibrium.wants_two_pass(eq_config) + mand = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_nodes(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high) + psi_nodes = GeneralizedPerturbedEquilibrium.Equilibrium.refined_psi_grid(equil; tau=eq_config.psi_accuracy, mandatory=mand) + rerun_input = GeneralizedPerturbedEquilibrium.Equilibrium.build_direct_from_ingest(eq_config, equil.ingest) + equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, rerun_input; override_psi_nodes=psi_nodes) + end intr.wall_settings = GeneralizedPerturbedEquilibrium.Vacuum.WallShapeSettings(; (Symbol(k) => v for (k, v) in inputs["Wall"])...) GeneralizedPerturbedEquilibrium.ForceFreeStates.sing_lim!(intr, ctrl, equil) @@ -542,16 +551,19 @@ using TOML # Pinned diagonal `delta_prime_matrix` values for the DIIID-like case (msing = 5), # PEST3-convention self-response Δ' from the STRIDE BVP with vacuum coupling, on - # the pinned ldp/mpsi=256 grid. Tolerances split by grid- and FP-sensitivity: - # - dpm[1]–dpm[3] (q=2,3,4): real parts are grid-converged (agree with denser - # ldp-512 and refined two-pass grids to a few %); pin Re at rtol=2e-2. The - # imaginary parts arise from the PEST3 four-term cancellation and drift in - # magnitude and sign with grid and BLAS variant; bound |Im| relative to |Re|. + # the production-default two-pass auto grid (τ=1e-3, ~200 knots). Tolerances split + # by grid- and FP-sensitivity: + # - dpm[1]–dpm[3] (q=2,3,4): real parts approach the grid-converged values + # (ldp-512 / two-pass τ=1e-4 give ≈ 8.90, −3.86, −10.2) to within ~5%; pin the + # auto-grid values at rtol=2e-2 so a behavior change is caught, and tighten + # psi_accuracy to converge further. The imaginary parts arise from the PEST3 + # four-term cancellation and drift in magnitude and sign with grid and BLAS + # variant; bound |Im| relative to |Re|. # - dpm[4], dpm[5] (q=5,6 near-separatrix): not grid-converged — value and sign # vary O(1) between ldp-256/512 and refined grids. Assert finite and non-zero # only (the earlier tight pins tracked a single grid's noise, not physics). - @test isapprox(real(dpm[1, 1]), +8.787850e+00; rtol=2e-2) - @test isapprox(real(dpm[2, 2]), -3.883926e+00; rtol=2e-2) + @test isapprox(real(dpm[1, 1]), +8.459458e+00; rtol=2e-2) + @test isapprox(real(dpm[2, 2]), -4.035389e+00; rtol=2e-2) @test isapprox(real(dpm[3, 3]), -1.021928e+01; rtol=5e-2) @test abs(imag(dpm[1, 1])) < 0.05 * abs(real(dpm[1, 1])) @test abs(imag(dpm[2, 2])) < 0.05 * abs(real(dpm[2, 2])) From 77c4e0ef1abc37910945ba9c29e62db989c84784 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Thu, 2 Jul 2026 20:54:00 -0400 Subject: [PATCH 15/20] DOCS - MINOR - Knot-placement comparison figure (auto two-pass vs ldp) and generator script Co-Authored-By: Claude Fable 5 --- benchmarks/plot_grid_knot_placement.jl | 67 ++++++++++++++++++++++++ docs/src/assets/grid_knot_placement.png | Bin 0 -> 120343 bytes 2 files changed, 67 insertions(+) create mode 100644 benchmarks/plot_grid_knot_placement.jl create mode 100644 docs/src/assets/grid_knot_placement.png diff --git a/benchmarks/plot_grid_knot_placement.jl b/benchmarks/plot_grid_knot_placement.jl new file mode 100644 index 000000000..b8a663234 --- /dev/null +++ b/benchmarks/plot_grid_knot_placement.jl @@ -0,0 +1,67 @@ +# Visualizes where the two-pass auto grid places its radial knots compared to the fixed +# ldp (sin²) grids, on the DIII-D-like example. Two panels: cumulative knot fraction +# index/mpsi vs ψ_N (packing profile), and local knot spacing Δψ vs ψ_N (log scale), +# with the n=1 rational surfaces marked. Documents the auto-grid PR. +# +# Usage: julia --project=. benchmarks/plot_grid_knot_placement.jl +# Output (not committed): benchmarks/grid_knot_placement.png + +using Pkg; +Pkg.activate(joinpath(@__DIR__, "..")) +using GeneralizedPerturbedEquilibrium +using Plots + +const GPE = GeneralizedPerturbedEquilibrium +const EXAMPLE_DIR = joinpath(@__DIR__, "..", "examples", "DIIID-like_ideal_example") + +function build_grids() + _, eq_config, additional_input = GPE.build_inputs_from_toml(EXAMPLE_DIR) + tau = eq_config.psi_accuracy + + # Pass 1 (coarse layout) and the two-pass refined grid, as the driver builds them + equil1 = GPE.Equilibrium.setup_equilibrium(eq_config, additional_input) + pass1 = copy(equil1.profiles.xs) + rationals = GPE.ForceFreeStates.rational_psi_nodes(equil1; nlow=1, nhigh=1) + auto = GPE.Equilibrium.refined_psi_grid(equil1; tau, mandatory=rationals) + + ldp(mpsi) = [eq_config.psilow + (eq_config.psihigh - eq_config.psilow) * sin((i / mpsi) * (π / 2))^2 for i in 0:mpsi] + + grids = [ + ("auto two-pass, τ=$(tau), mpsi=$(length(auto) - 1)", auto), + ("pass-1 layout, mpsi=$(length(pass1) - 1)", pass1), + ("ldp, mpsi=256", ldp(256)), + ("ldp, mpsi=512", ldp(512)) + ] + return grids, rationals +end + +function main() + grids, rationals = build_grids() + # Okabe-Ito colorblind-safe hues, fixed order; pass-1 recessive gray + colors = ["#0072B2", "#999999", "#E69F00", "#009E73"] + styles = [:solid, :dash, :solid, :solid] + + p1 = plot(; xlabel="ψ_N", ylabel="knot index / mpsi", title="Radial knot packing — DIIID-like example (n=1)", + legend=:bottomright, left_margin=12Plots.mm, bottom_margin=4Plots.mm, size=(900, 420)) + p2 = plot(; xlabel="ψ_N", ylabel="local knot spacing Δψ_N", yscale=:log10, + legend=:bottomleft, left_margin=12Plots.mm, bottom_margin=6Plots.mm, size=(900, 420)) + + for (i, (label, g)) in enumerate(grids) + n = length(g) - 1 + plot!(p1, g, (0:n) ./ n; lw=2, color=colors[i], ls=styles[i], label=label) + mids = 0.5 .* (g[1:(end-1)] .+ g[2:end]) + plot!(p2, mids, diff(g); lw=2, color=colors[i], ls=styles[i], label=label) + end + for (j, r) in enumerate(rationals) + for p in (p1, p2) + vline!(p, [r]; color="#CC79A7", ls=:dot, lw=1.5, label=(j == 1 && p === p1) ? 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- Unified resonance helpers: omega_E zero-crossing quadrature panels, shared sign-change root scan, psilims floor above axis Co-Authored-By: Claude Fable 5 --- src/KineticForces/Compute.jl | 35 +++++++++++------ src/KineticForces/KineticForces.jl | 1 + src/KineticForces/KineticForcesStructs.jl | 14 ++++--- src/KineticForces/Torque.jl | 32 ++++++---------- src/KineticForces/Utils.jl | 46 +++++++++++++++++++++++ test/runtests_kinetic.jl | 46 ++++++++++++++++++++--- 6 files changed, 131 insertions(+), 43 deletions(-) create mode 100644 src/KineticForces/Utils.jl diff --git a/src/KineticForces/Compute.jl b/src/KineticForces/Compute.jl index 5ff653579..a7d8112c2 100644 --- a/src/KineticForces/Compute.jl +++ b/src/KineticForces/Compute.jl @@ -11,16 +11,21 @@ using adaptive Gauss-Kronrod quadrature at all levels (ψ, λ, energy). # ============================================================================ """ - psi_panel_points(sing_psis, x0, xout) → Vector{Float64} - -Build the ψ-quadrature node list `[x0, rationals strictly inside (x0, xout), xout]`. -Paneling the integral at the rational surfaces puts the resonant torque-density peaks -(reg_spot/collisionally broadened, but narrow in ψ) on Gauss-Kronrod interval endpoints, -which the rule handles natively instead of hunting them by adaptive bisection. Surfaces -within 1e-8 of a bound are dropped to avoid degenerate panels. + psi_panel_points(interior, x0, xout) → Vector{Float64} + +Build the ψ-quadrature node list `[x0, interior points strictly inside (x0, xout), xout]`. +`interior` is the raw union of resonant-surface locations (rational surfaces ∪ kinetic +resonances); this function owns the ordering: sort, drop near-duplicates (< 1e-8 apart, +e.g. a kinetic resonance coinciding with a rational), and drop points within 1e-8 of a +bound to avoid degenerate panels. Paneling the integral at these surfaces puts the +resonant torque-density peaks (reg_spot/collisionally broadened, but narrow in ψ) on +Gauss-Kronrod interval endpoints, which the rule handles natively instead of hunting them +by adaptive bisection. """ -function psi_panel_points(sing_psis::Vector{Float64}, x0::Float64, xout::Float64) - return [x0; filter(p -> x0 + 1e-8 < p < xout - 1e-8, sing_psis); xout] +function psi_panel_points(interior::Vector{Float64}, x0::Float64, xout::Float64) + pts = sort(filter(p -> x0 + 1e-8 < p < xout - 1e-8, interior)) + deduped = [p for (i, p) in enumerate(pts) if i == 1 || p - pts[i-1] > 1e-8] + return [x0; deduped; xout] end """ @@ -82,7 +87,7 @@ function integrate_psi_quadgk( xout = min(psi_max, intr.psilim, 1.0 - 1e-6) if x0 >= xout - return (total=ComplexF64(0.0), torque_profile=nothing, matrix_integrated=nothing, psi_nsteps=0) + return (total=ComplexF64(0.0), torque_profile=nothing, matrix_integrated=nothing, psi_nsteps=0, psi_quad_error=0.0) end # Buffers for the batch callback. The outer ψ-integral is intentionally @@ -135,7 +140,10 @@ function integrate_psi_quadgk( end end - pts = psi_panel_points(intr.sing_psis, x0, xout) + # Panels at the rational surfaces the run resolved plus the kinetic-resonance + # surfaces (ω_E zero crossings) — both are torque-density peaks. + resonance_psis = kinetic_resonance_psi_nodes(kinetic_profiles) + pts = psi_panel_points(vcat(intr.sing_psis, resonance_psis), x0, xout) bi = QuadGK.BatchIntegrand(psi_batch!, ComplexF64[], Float64[]) total, quad_err = quadgk(bi, pts...; atol=ctrl.atol_psi, rtol=ctrl.rtol_psi, maxevals=ctrl.maxevals_psi) @@ -171,7 +179,10 @@ function integrate_psi_quadgk( end end - @info "ψ torque quadrature ($method): T=$total N·m, error estimate $quad_err, $npts integrand evaluations over $(length(pts) - 1) panels" + n_rational = count(p -> x0 + 1e-8 < p < xout - 1e-8, intr.sing_psis) + n_resonance = count(p -> x0 + 1e-8 < p < xout - 1e-8, resonance_psis) + @info "ψ torque quadrature ($method): T=$total N·m, error estimate $quad_err, $npts integrand evaluations over " * + "$(length(pts) - 1) panels ($n_rational rational + $n_resonance ω_E-zero surfaces)" return (total=total, torque_profile=torque_profile, matrix_integrated=matrix_integrated, psi_nsteps=npts, psi_quad_error=quad_err) end diff --git a/src/KineticForces/KineticForces.jl b/src/KineticForces/KineticForces.jl index b8408c17a..8f83780c7 100644 --- a/src/KineticForces/KineticForces.jl +++ b/src/KineticForces/KineticForces.jl @@ -41,6 +41,7 @@ import ..Utilities # Supporting data structures and utilities include("KineticForcesStructs.jl") +include("Utils.jl") include("Output.jl") # Core library functions diff --git a/src/KineticForces/KineticForcesStructs.jl b/src/KineticForces/KineticForcesStructs.jl index 328e49890..3e53cb820 100644 --- a/src/KineticForces/KineticForcesStructs.jl +++ b/src/KineticForces/KineticForcesStructs.jl @@ -128,8 +128,11 @@ ctrl = KineticForcesControl(; (Symbol(k) => v for (k, v) in inputs["KineticForce nutype::String = "harmonic" # Collision operator: "zero", "small", "krook", "harmonic" f0type::String = "maxwellian" # Distribution function: "maxwellian", "jkp", "cgl" - # Diagnostic parameters - psilims::Vector{Float64} = [0.0, 1.0] # Integration limits in psi + # Integration limits in ψ. The lower bound defaults above the axis because the + # bounce/drift frequencies degenerate as ψ→0, producing a spurious near-axis dT/dψ + # spike that wastes quadrature work; the core contributes negligibly to NTV torque in + # typical edge-forced cases. Set [0.0, 1.0] deliberately for core-localized studies. + psilims::Vector{Float64} = [0.1, 1.0] # Diagnostic output flags eq_out::Bool = false # Output equilibrium profiles @@ -314,10 +317,9 @@ function set_perturbation_data!(kf_intr::KineticForcesInternal, pe_state, ffs_in kf_intr.mfac = collect(ffs_intr.mlow:ffs_intr.mhigh) kf_intr.psilim = ffs_intr.psilim - # Rational-surface ψ locations (ideal + kinetic) become panel boundaries for the - # outer ψ torque quadrature; dedupe surfaces closer than 1e-8 in ψ. - psis = sort!(vcat([s.psifac for s in ffs_intr.sing], [s.psifac for s in ffs_intr.kinsing])) - kf_intr.sing_psis = [p for (i, p) in enumerate(psis) if i == 1 || p - psis[i-1] > 1e-8] + # Rational-surface ψ locations (ideal + kinetic EL) become panel boundaries for the + # outer ψ torque quadrature; dedupe against coincident points happens in psi_panel_points. + kf_intr.sing_psis = sort!(vcat([s.psifac for s in ffs_intr.sing], [s.psifac for s in ffs_intr.kinsing])) # Bail if no xi_modes available (PE didn't run or failed) if pe_state.xi_modes === nothing || isempty(pe_state.psi_grid) diff --git a/src/KineticForces/Torque.jl b/src/KineticForces/Torque.jl index 35d55a00f..b3fce7425 100644 --- a/src/KineticForces/Torque.jl +++ b/src/KineticForces/Torque.jl @@ -127,14 +127,9 @@ function tpsi!(tpsi_var::Ref{ComplexF64}, psi::Float64, n::Int, l::Int, theta_bmin = xs[ibmin] theta_bmax = xs[ibmax] - # Find roots of dB/dθ = 0 (extrema) using Roots.jl + # Find roots of dB/dθ = 0 (extrema) dBdtheta_interp = cubic_interp(xs, dBdtheta_vals; bc=PeriodicBC()) - extrema_roots = Float64[] - for i in 1:length(xs)-1 - if dBdtheta_vals[i] * dBdtheta_vals[i+1] < 0 - push!(extrema_roots, find_zero(dBdtheta_interp, (xs[i], xs[i+1]), Roots.Brent())) - end - end + extrema_roots = find_sign_change_roots(dBdtheta_interp, xs) for θ in extrema_roots θn = mod(θ, 1.0) Bθ = tspl(θn)[1] @@ -658,19 +653,16 @@ function _setup_surface_state( theta_bmax = xs[ibmax] dBdtheta_interp = cubic_interp(xs, dBdtheta_vals; bc=PeriodicBC()) - for i in 1:length(xs)-1 - if dBdtheta_vals[i] * dBdtheta_vals[i+1] < 0 - θ = find_zero(dBdtheta_interp, (xs[i], xs[i+1]), Roots.Brent()) - θn = mod(θ, 1.0) - Bθ = tspl(θn)[1] - if Bθ < bmin - bmin = Bθ - theta_bmin = θn - end - if Bθ > bmax - bmax = Bθ - theta_bmax = θn - end + for θ in find_sign_change_roots(dBdtheta_interp, xs) + θn = mod(θ, 1.0) + Bθ = tspl(θn)[1] + if Bθ < bmin + bmin = Bθ + theta_bmin = θn + end + if Bθ > bmax + bmax = Bθ + theta_bmax = θn end end diff --git a/src/KineticForces/Utils.jl b/src/KineticForces/Utils.jl new file mode 100644 index 000000000..574c640f1 --- /dev/null +++ b/src/KineticForces/Utils.jl @@ -0,0 +1,46 @@ +""" + Utils + +Shared numerical helpers for KineticForces: the generic sign-change root scan and the +kinetic-resonance surface locator built on it. +""" + +""" + find_sign_change_roots(f, grid) → Vector{Float64} + +Locate the zeros of a callable `f` by scanning consecutive `grid` nodes for strict sign +changes (`f(x[i])·f(x[i+1]) < 0`) and refining each bracket with `Roots.Brent`. Returns +the refined roots in grid order (empty if `f` never changes sign; a node value of exactly +zero is not treated as a crossing). + +Single source of truth for the scan-then-Brent idiom — used for dB/dθ extrema in the +bounce averaging and for kinetic-resonance surfaces in the ψ quadrature paneling. +""" +function find_sign_change_roots(f, grid) + roots = Float64[] + fprev = f(grid[firstindex(grid)]) + for i in (firstindex(grid)+1):lastindex(grid) + fcur = f(grid[i]) + if fprev * fcur < 0 + push!(roots, find_zero(f, (grid[i-1], grid[i]), Roots.Brent())) + end + fprev = fcur + end + return roots +end + +""" + kinetic_resonance_psi_nodes(kinetic_profiles) → Vector{Float64} + +ψ_N locations of kinetic resonance surfaces, for use as ψ-quadrature panel boundaries +(and, per the kinetic-aware grid-packing plan, as mandatory equilibrium knots). + +Currently locates the ℓ = 0 superbanana-plateau resonance ω_E(ψ) = 0, where the ExB +frequency in the resonance denominator Ω(x) = ℓ_eff·ω_b·√x + n·(ω_E + ω_d·x) vanishes at +low energy and the NTV torque density peaks. The bounce/precession terms (cylindrical +ω_b, ω_d estimates at thermal energy x = 1, Logan & Park 2013 §IV–V) are a planned +extension behind additional keyword arguments; both consumers call this function unchanged. +""" +function kinetic_resonance_psi_nodes(kinetic_profiles::Equilibrium.KineticProfileSplines) + return find_sign_change_roots(kinetic_profiles.omegaE_spline, kinetic_profiles.xs) +end diff --git a/test/runtests_kinetic.jl b/test/runtests_kinetic.jl index 45a85d0b5..5410af4fd 100644 --- a/test/runtests_kinetic.jl +++ b/test/runtests_kinetic.jl @@ -334,7 +334,8 @@ @test ctrl.mi == 2 @test ctrl.nutype == "harmonic" @test ctrl.f0type == "maxwellian" - @test ctrl.psilims == [0.0, 1.0] + # Lower ψ bound floored above the axis (near-axis frequency degeneracy) + @test ctrl.psilims == [0.1, 1.0] # ψ quadrature is rtol-primary: atol_psi is amplitude-sensitive (NTV ∝ δB²) @test ctrl.atol_psi == 0.0 @test ctrl.rtol_psi == 1e-2 @@ -352,15 +353,50 @@ @testset "psi_panel_points" begin sing_psis = [0.2, 0.5, 0.8] - # Interior rationals become panel boundaries, in order + # Interior surfaces become panel boundaries, in order @test KF.psi_panel_points(sing_psis, 0.1, 0.9) == [0.1, 0.2, 0.5, 0.8, 0.9] - # Rationals outside the integration bounds are dropped + # Surfaces outside the integration bounds are dropped @test KF.psi_panel_points(sing_psis, 0.3, 0.7) == [0.3, 0.5, 0.7] - # Rationals at (or within 1e-8 of) a bound would create a degenerate panel — dropped + # Surfaces at (or within 1e-8 of) a bound would create a degenerate panel — dropped @test KF.psi_panel_points(sing_psis, 0.2, 0.8) == [0.2, 0.5, 0.8] @test KF.psi_panel_points([0.2 + 5e-9], 0.2, 0.9) == [0.2, 0.9] - # No rational surfaces: plain two-point interval + # No surfaces: plain two-point interval @test KF.psi_panel_points(Float64[], 0.0, 1.0) == [0.0, 1.0] + # Unsorted union input (rationals ∪ kinetic resonances) is sorted + @test KF.psi_panel_points([0.8, 0.2, 0.5], 0.1, 0.9) == [0.1, 0.2, 0.5, 0.8, 0.9] + # Near-coincident points (kinetic resonance on a rational) collapse to one + @test KF.psi_panel_points([0.5, 0.5 + 5e-9, 0.2], 0.1, 0.9) == [0.1, 0.2, 0.5, 0.9] + end + + @testset "find_sign_change_roots" begin + xs = collect(range(0.0, 1.0; length=101)) + # Two known zeros of a smooth profile + spl = KF.cubic_interp(xs, @. sin(2π * xs) + 0.5) + roots = KF.find_sign_change_roots(spl, xs) + @test length(roots) == 2 + expected = [(π - asin(-0.5)) / (2π), (2π + asin(-0.5)) / (2π)] + @test isapprox(roots, expected; atol=1e-6) + # Monotone positive profile: no crossings + @test isempty(KF.find_sign_change_roots(KF.cubic_interp(xs, 1.0 .+ xs), xs)) + # Exact zero at a node is not a strict sign change — no crash, no root from that pair + vals = collect(1.0 .- 2 .* xs) + vals[51] = 0.0 # xs[51] = 0.5 is the true zero + spl0 = KF.cubic_interp(xs, vals) + @test length(KF.find_sign_change_roots(spl0, xs)) <= 1 + end + + @testset "kinetic_resonance_psi_nodes" begin + EQ = GeneralizedPerturbedEquilibrium.Equilibrium + xs = collect(range(0.0, 1.0; length=101)) + flat = fill(1.0e19, 101) + Tflat = fill(1.0e3, 101) + # ω_E crosses zero once at ψ = 0.9 (linear profile) + omegaE = @. 1.0e5 * (0.9 - xs) / 0.9 + kin = EQ.KineticProfileSplines(xs, flat, flat, Tflat, Tflat, omegaE, + fill(17.0, 101), fill(1.0e3, 101), fill(1.0e3, 101), fill(1.0, 101)) + nodes = KF.kinetic_resonance_psi_nodes(kin) + @test length(nodes) == 1 + @test isapprox(nodes[1], 0.9; atol=1e-8) end @testset "check_psi_quadrature_convergence" begin From 0c2949c1361dce0ba3c5822ce31dcb0873a19ecc Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Fri, 3 Jul 2026 12:24:33 -0400 Subject: [PATCH 17/20] KineticForces - DOCS - Add NTV quadrature benchmark figures for PR description and future settings docs Co-Authored-By: Claude Fable 5 --- docs/src/assets/ntv_cumulative_torque.png | Bin 0 -> 91025 bytes docs/src/assets/ntv_eval_clustering.png | Bin 0 -> 120058 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3 Jul 2026 13:33:13 -0400 Subject: [PATCH 18/20] KineticForces - IMPROVEMENT - Locate all bounce-harmonic thermal resonances for quadrature panels, revert psilims floor, persist panel data to HDF5 Co-Authored-By: Claude Fable 5 --- src/KineticForces/Compute.jl | 28 ++++++++---- src/KineticForces/KineticForcesStructs.jl | 10 ++--- src/KineticForces/Output.jl | 8 ++++ src/KineticForces/Utils.jl | 53 +++++++++++++++++++---- test/runtests_kinetic.jl | 32 ++++++++------ 5 files changed, 95 insertions(+), 36 deletions(-) diff --git a/src/KineticForces/Compute.jl b/src/KineticForces/Compute.jl index a7d8112c2..c5e617b8e 100644 --- a/src/KineticForces/Compute.jl +++ b/src/KineticForces/Compute.jl @@ -87,7 +87,8 @@ function integrate_psi_quadgk( xout = min(psi_max, intr.psilim, 1.0 - 1e-6) if x0 >= xout - return (total=ComplexF64(0.0), torque_profile=nothing, matrix_integrated=nothing, psi_nsteps=0, psi_quad_error=0.0) + return (total=ComplexF64(0.0), torque_profile=nothing, matrix_integrated=nothing, psi_nsteps=0, psi_quad_error=0.0, + panel_psis=Float64[], resonance_psis=Float64[]) end # Buffers for the batch callback. The outer ψ-integral is intentionally @@ -141,8 +142,8 @@ function integrate_psi_quadgk( end # Panels at the rational surfaces the run resolved plus the kinetic-resonance - # surfaces (ω_E zero crossings) — both are torque-density peaks. - resonance_psis = kinetic_resonance_psi_nodes(kinetic_profiles) + # surfaces (thermal-energy Ω_ℓ = 0 for ℓ ∈ -nl:nl) — both are torque-density peaks. + resonance_psis = kinetic_resonance_psi_nodes(kinetic_profiles, equil; n, nl, zi, mi, electron, wdfac) pts = psi_panel_points(vcat(intr.sing_psis, resonance_psis), x0, xout) bi = QuadGK.BatchIntegrand(psi_batch!, ComplexF64[], Float64[]) @@ -182,9 +183,10 @@ function integrate_psi_quadgk( n_rational = count(p -> x0 + 1e-8 < p < xout - 1e-8, intr.sing_psis) n_resonance = count(p -> x0 + 1e-8 < p < xout - 1e-8, resonance_psis) @info "ψ torque quadrature ($method): T=$total N·m, error estimate $quad_err, $npts integrand evaluations over " * - "$(length(pts) - 1) panels ($n_rational rational + $n_resonance ω_E-zero surfaces)" + "$(length(pts) - 1) panels ($n_rational rational + $n_resonance kinetic resonance surfaces)" - return (total=total, torque_profile=torque_profile, matrix_integrated=matrix_integrated, psi_nsteps=npts, psi_quad_error=quad_err) + return (total=total, torque_profile=torque_profile, matrix_integrated=matrix_integrated, psi_nsteps=npts, psi_quad_error=quad_err, + panel_psis=pts, resonance_psis=sort(resonance_psis)) end @@ -240,6 +242,8 @@ function compute_torque_all_methods!(state::KineticForcesState, intr::KineticFor dtdpsi_out = ComplexF64[] t_cum_out = ComplexF64[] psi_nsteps_total = 0 + panel_psis_out = Float64[] + resonance_psis_out = Float64[] for n_idx in 1:npert n = intr.nlow + n_idx - 1 @@ -257,10 +261,14 @@ function compute_torque_all_methods!(state::KineticForcesState, intr::KineticFor total_torque += result.total psi_nsteps_total += result.psi_nsteps - if n_idx == 1 && !isnothing(result.torque_profile) - psi_grid_out = result.torque_profile.psi - dtdpsi_out = result.torque_profile.dtdpsi - t_cum_out = result.torque_profile.t_cumulative + if n_idx == 1 + panel_psis_out = result.panel_psis + resonance_psis_out = result.resonance_psis + if !isnothing(result.torque_profile) + psi_grid_out = result.torque_profile.psi + dtdpsi_out = result.torque_profile.dtdpsi + t_cum_out = result.torque_profile.t_cumulative + end end # Insert n-block into full matrix @@ -284,6 +292,8 @@ function compute_torque_all_methods!(state::KineticForcesState, intr::KineticFor dtdpsi=dtdpsi_out, t_cumulative=t_cum_out, psi_nsteps=psi_nsteps_total, + panel_psis=panel_psis_out, + resonance_psis=resonance_psis_out, ) state.method_results[method] = result_entry diff --git a/src/KineticForces/KineticForcesStructs.jl b/src/KineticForces/KineticForcesStructs.jl index 3e53cb820..496a8bcfe 100644 --- a/src/KineticForces/KineticForcesStructs.jl +++ b/src/KineticForces/KineticForcesStructs.jl @@ -128,11 +128,8 @@ ctrl = KineticForcesControl(; (Symbol(k) => v for (k, v) in inputs["KineticForce nutype::String = "harmonic" # Collision operator: "zero", "small", "krook", "harmonic" f0type::String = "maxwellian" # Distribution function: "maxwellian", "jkp", "cgl" - # Integration limits in ψ. The lower bound defaults above the axis because the - # bounce/drift frequencies degenerate as ψ→0, producing a spurious near-axis dT/dψ - # spike that wastes quadrature work; the core contributes negligibly to NTV torque in - # typical edge-forced cases. Set [0.0, 1.0] deliberately for core-localized studies. - psilims::Vector{Float64} = [0.1, 1.0] + # Diagnostic parameters + psilims::Vector{Float64} = [0.0, 1.0] # Integration limits in psi # Diagnostic output flags eq_out::Bool = false # Output equilibrium profiles @@ -488,6 +485,9 @@ Results for one NTV computation method across all flux surfaces. dtdpsi::Vector{ComplexF64} = ComplexF64[] t_cumulative::Vector{ComplexF64} = ComplexF64[] psi_nsteps::Int = 0 + # ψ-quadrature panel boundaries and the located kinetic-resonance surfaces (first n) + panel_psis::Vector{Float64} = Float64[] + resonance_psis::Vector{Float64} = Float64[] end """ diff --git a/src/KineticForces/Output.jl b/src/KineticForces/Output.jl index 4adcaa9b8..bfef9f7c8 100644 --- a/src/KineticForces/Output.jl +++ b/src/KineticForces/Output.jl @@ -25,6 +25,14 @@ function write_to_hdf5!(h5file::HDF5.File, state::KineticForcesState) mg["total_energy"] = [real(result.total_energy), imag(result.total_energy)] mg["psi_nsteps"] = result.psi_nsteps + # ψ-quadrature panel boundaries and located kinetic-resonance surfaces (first n) + if !isempty(result.panel_psis) + mg["panel_psi"] = result.panel_psis + end + if !isempty(result.resonance_psis) + mg["resonance_psi"] = result.resonance_psis + end + # Per-ψ torque profiles from quadrature evaluation points. # dT/dψ integrand values and cumulative T(ψ) via trapezoidal integration. if !isempty(result.psi_grid) diff --git a/src/KineticForces/Utils.jl b/src/KineticForces/Utils.jl index 574c640f1..9b6068b14 100644 --- a/src/KineticForces/Utils.jl +++ b/src/KineticForces/Utils.jl @@ -30,17 +30,54 @@ function find_sign_change_roots(f, grid) end """ - kinetic_resonance_psi_nodes(kinetic_profiles) → Vector{Float64} + _resonance_nodes_from_frequencies(wbhat_f, welec_f, wdhat_f, grid; n, nl) → Vector{Float64} + +Scan `grid` for the zeros of the thermal-energy resonance operator +`Ω_ℓ(x=1; ψ) = ℓ·ω_b(ψ) + n·(ω_E(ψ) + ω_d(ψ))` for every bounce harmonic ℓ ∈ −nl:nl, +given per-ψ frequency callables. Roots from all harmonics are concatenated (deduplication +against coincident surfaces happens in `psi_panel_points`). +""" +function _resonance_nodes_from_frequencies(wbhat_f, welec_f, wdhat_f, grid; n::Int, nl::Int) + nodes = Float64[] + for l in -nl:nl + append!(nodes, find_sign_change_roots(psi -> l * wbhat_f(psi) + n * (welec_f(psi) + wdhat_f(psi)), grid)) + end + return nodes +end + +""" + kinetic_resonance_psi_nodes(kinetic_profiles, equil; n, nl, zi=1, mi=2, electron=false, wdfac=1.0) → Vector{Float64} ψ_N locations of kinetic resonance surfaces, for use as ψ-quadrature panel boundaries (and, per the kinetic-aware grid-packing plan, as mandatory equilibrium knots). -Currently locates the ℓ = 0 superbanana-plateau resonance ω_E(ψ) = 0, where the ExB -frequency in the resonance denominator Ω(x) = ℓ_eff·ω_b·√x + n·(ω_E + ω_d·x) vanishes at -low energy and the NTV torque density peaks. The bounce/precession terms (cylindrical -ω_b, ω_d estimates at thermal energy x = 1, Logan & Park 2013 §IV–V) are a planned -extension behind additional keyword arguments; both consumers call this function unchanged. +Locates the zeros of the trapped-branch (leff = ℓ) resonance denominator +`Ω(x) = leff·ω_b·√x + n·(ω_E + ω_d·x)` evaluated at thermal energy x = 1, for every bounce +harmonic ℓ ∈ −nl:nl — this is where the energy-space resonance sweeps through the thermal +bulk and the NTV torque density peaks (Logan & Park, Phys. Plasmas 20, 122507 (2013), +§IV–V). The ℓ = 0 node is the ω_d-shifted ExB (superbanana-plateau) resonance. + +The frequencies use the pitch-averaged large-aspect-ratio closed forms of the `rlar` +method (`tpsi!` in Torque.jl / Fortran pentrc torque.F90): `ω_b = (π/4)·√(ε/2)·wtran` and +`ω_d = q·T_s/(2·ε·R₀²·Z·e·B₀)·wdfac`, with ε = ⟨r⟩/⟨R⟩ clamped away from the axis where +the estimate degenerates. Panel placement only needs ~peak-width accuracy, so these cheap +estimates (single spline evaluations) are sufficient and no bounce averaging is performed. """ -function kinetic_resonance_psi_nodes(kinetic_profiles::Equilibrium.KineticProfileSplines) - return find_sign_change_roots(kinetic_profiles.omegaE_spline, kinetic_profiles.xs) +function kinetic_resonance_psi_nodes(kinetic_profiles::Equilibrium.KineticProfileSplines, equil; + n::Int, nl::Int, zi::Int=1, mi::Int=2, electron::Bool=false, wdfac::Float64=1.0) + chrg = electron ? -e : zi * e + mass = electron ? me : mi * mp + T_spline = electron ? kinetic_profiles.Te_spline : kinetic_profiles.Ti_spline + ro = equil.ro + bo = equil.params.b0 + q_spline = equil.profiles.q_spline + avg_r = equil.geometry.avg_r_spline + avg_R = equil.geometry.avg_R_spline + + epsr_f = psi -> max(avg_r(psi) / avg_R(psi), 1e-6) + wbhat_f = psi -> (π / 4) * sqrt(epsr_f(psi) / 2) * sqrt(2 * T_spline(psi) / mass) / (q_spline(psi) * ro) + wdhat_f = psi -> q_spline(psi) * T_spline(psi) / (2 * epsr_f(psi) * ro^2 * chrg * bo) * wdfac + + grid = filter(x -> x > 0, kinetic_profiles.xs) + return _resonance_nodes_from_frequencies(wbhat_f, kinetic_profiles.omegaE_spline, wdhat_f, grid; n, nl) end diff --git a/test/runtests_kinetic.jl b/test/runtests_kinetic.jl index 5410af4fd..1644c34db 100644 --- a/test/runtests_kinetic.jl +++ b/test/runtests_kinetic.jl @@ -334,8 +334,7 @@ @test ctrl.mi == 2 @test ctrl.nutype == "harmonic" @test ctrl.f0type == "maxwellian" - # Lower ψ bound floored above the axis (near-axis frequency degeneracy) - @test ctrl.psilims == [0.1, 1.0] + @test ctrl.psilims == [0.0, 1.0] # ψ quadrature is rtol-primary: atol_psi is amplitude-sensitive (NTV ∝ δB²) @test ctrl.atol_psi == 0.0 @test ctrl.rtol_psi == 1e-2 @@ -385,18 +384,23 @@ @test length(KF.find_sign_change_roots(spl0, xs)) <= 1 end - @testset "kinetic_resonance_psi_nodes" begin - EQ = GeneralizedPerturbedEquilibrium.Equilibrium - xs = collect(range(0.0, 1.0; length=101)) - flat = fill(1.0e19, 101) - Tflat = fill(1.0e3, 101) - # ω_E crosses zero once at ψ = 0.9 (linear profile) - omegaE = @. 1.0e5 * (0.9 - xs) / 0.9 - kin = EQ.KineticProfileSplines(xs, flat, flat, Tflat, Tflat, omegaE, - fill(17.0, 101), fill(1.0e3, 101), fill(1.0e3, 101), fill(1.0, 101)) - nodes = KF.kinetic_resonance_psi_nodes(kin) - @test length(nodes) == 1 - @test isapprox(nodes[1], 0.9; atol=1e-8) + @testset "kinetic resonance node scan" begin + # Synthetic frequency closures with analytically known Ω_ℓ(x=1) = 0 locations: + # constant ω_b, ω_d and linear ω_E(ψ) = a − b·ψ give ψ_ℓ = (a + ω_d + ℓ·ω_b/n)/b. + # Constants chosen so no zero falls exactly on a grid node (strict sign change). + grid = collect(range(0.0, 1.0; length=101)) + wb0, wd0, a, b = 0.1, 0.05, 0.5037, 1.0 + wbhat_f = _ -> wb0 + wdhat_f = _ -> wd0 + welec_f = psi -> a - b * psi + nodes = sort(KF._resonance_nodes_from_frequencies(wbhat_f, welec_f, wdhat_f, grid; n=1, nl=2)) + @test length(nodes) == 5 + @test isapprox(nodes, [0.3537, 0.4537, 0.5537, 0.6537, 0.7537]; atol=1e-10) + # nl = 0 reduces to the ω_d-shifted ExB resonance alone + nodes0 = KF._resonance_nodes_from_frequencies(wbhat_f, welec_f, wdhat_f, grid; n=1, nl=0) + @test isapprox(nodes0, [0.5537]; atol=1e-10) + # No crossings when ω_E never approaches the resonance condition + @test isempty(KF._resonance_nodes_from_frequencies(wbhat_f, _ -> 10.0, wdhat_f, grid; n=1, nl=2)) end @testset "check_psi_quadrature_convergence" begin From 98209d58abea510ece14fcd4af42b1a01c53d0cc Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Fri, 3 Jul 2026 13:46:16 -0400 Subject: [PATCH 19/20] KineticForces - DOCS - Refresh NTV figures with located kinetic-resonance surfaces, annotate epsilon clamp Co-Authored-By: Claude Fable 5 --- docs/src/assets/ntv_cumulative_torque.png | Bin 91025 -> 111236 bytes docs/src/assets/ntv_eval_clustering.png | Bin 120058 -> 140769 bytes docs/src/assets/ntv_torque_density.png | Bin 86529 -> 107908 bytes src/KineticForces/Utils.jl | 1 + 4 files changed, 1 insertion(+) diff --git 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zCZqT|#jv}l2WAd_TvdQXk1be&Yp2%F{*P0AVC_+%^nWXJ^8f8r|F-~)^FI?X|L4nm zJbMoQNzL6p+;`dVuuYkal;rIla!7unroy2oxP|?xo5osA0NkK z;Ye6@>JjXQfee7507%RE`$*aL?0bL`JV7JAQ+9TCT0WqaJNY7Mh&397un4R~E!e)k zs7E*k!1#K74qwd=;D<<)X!xz}@(pu1_l#C~sVFH40FnFrf7ft4l8zEz`*p}E7Fq;C zj1+x@_*{YeIp3FGtG0&>arh6g+plzdgnI~;yr2wSgT@-zt7>^AV#um9w!W7u0lQt|LkiZYTM`O zp1_IQMbd8HJQC>}AQ01_U}N0`IgVfoP`eEsWm?WA05|*2(=Tnz?@AX+7$J3q(&J)Bqs3EW_5!W`Yfk@BuBuy@{$V0qicR4GSUwae)RYysdJ1VQkS>t#^8-l0UY zI@4k+tE(atpouV5;H0bjoS1iPMZPpVE2VsVRsLqz_-r6Vl^6C zr&nj)zIU$@ei-cF5c(0$HtipZ#jn39y{eWWW7XBub1Pj6Zt?8VEo#L$PDMbwQz~Gd zL(-8F(itKmZ@u@RaR+Q*9AMRsmi~Q3hMxr-yy)^F$mJr5T6E!AocmgNbbOF7^iaTs zQ!i|40Vr|wsvseO=OvO4&(*bbiB}84&XJY9tgpc#h&;uFHN$Ia%z54m{=f>d-Z<+UC@LY diff --git a/src/KineticForces/Utils.jl b/src/KineticForces/Utils.jl index 9b6068b14..bca985d40 100644 --- a/src/KineticForces/Utils.jl +++ b/src/KineticForces/Utils.jl @@ -74,6 +74,7 @@ function kinetic_resonance_psi_nodes(kinetic_profiles::Equilibrium.KineticProfil avg_r = equil.geometry.avg_r_spline avg_R = equil.geometry.avg_R_spline + # ε clamp (Fortran torque.F90 does not clamp): bounds wdhat ∝ 1/ε near the axis; paneling-only. epsr_f = psi -> max(avg_r(psi) / avg_R(psi), 1e-6) wbhat_f = psi -> (π / 4) * sqrt(epsr_f(psi) / 2) * sqrt(2 * T_spline(psi) / mass) / (q_spline(psi) * ro) wdhat_f = psi -> q_spline(psi) * T_spline(psi) / (2 * epsr_f(psi) * ro^2 * chrg * bo) * wdfac From 2b27889ef5938d0bb0a015e3ed540775b5142122 Mon Sep 17 00:00:00 2001 From: logan-nc <6198372+logan-nc@users.noreply.github.com> Date: Sat, 11 Jul 2026 08:56:29 -0400 Subject: [PATCH 20/20] =?UTF-8?q?ForceFreeStates=20-=20IMPROVEMENT=20-=20G?= =?UTF-8?q?rid-robust=20=CE=94'=20via=20=CF=84-invariant=20singular-layer?= =?UTF-8?q?=20knot=20ladder?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The two-pass "auto" grid gave a delta-prime matrix whose diagonal swung ~30% with the psi_accuracy (τ) knob — not grid-converged — because Δ' extracts the subdominant small-solution coefficient through a dpsi^{-2α}-conditioned Frobenius projection, so it tracks the equilibrium-spline error in the layer around each rational. The old packing was τ-scaled and its merge snapped out the pinned rational's own neighbors, so the local stencil changed topology with τ. Add `rational_psi_ladder`: a geometric knot ladder straddling each rational with a fixed absolute innermost step h0=1e-3 (independent of τ, matched to the equilibrium's native radial resolution), emitted as mandatory knots. Anchoring h0 to the equilibrium resolution — not the far finer perturbed matching offset singfac_min/|n·q1| (~5e-5), which would ring the re-spline and blow Δ' up — is what makes Δ' grid-robust. A min-spacing thinning (h0, rationals prioritized) prevents overlapping ladders from nearby rationals (low shear / multi-n) creating sub-h0 intervals. `merge_mandatory_nodes` collapse now uses an absolute tolerance so fine ladder knots survive. Result on the DIIID example: dpm auto-τ spread 30% → ~4% (q2), <1% (q3,q4); the converged value (dpm[1,1]≈8.4) matches the finer ldp mpsi=512 grid, while ldp mpsi=256 undershoots (7.28) by under-resolving the rationals. Equilibrium, energies, NTV torque and resonant flux are unchanged; runtime drops 2.2× vs ldp mpsi=256. Re-pin the parallel-integration dpm diagonals at rtol=0.1 on the ladder values (real parts only; et_par kept tight); add a grid-refinement test pinning the ladder min-spacing invariant in the multi-n regime. Co-Authored-By: Claude Opus 4.8 (1M context) --- src/Equilibrium/GridRefinement.jl | 39 +++++++------- src/ForceFreeStates/Sing.jl | 72 ++++++++++++++++++++++++++ src/GeneralizedPerturbedEquilibrium.jl | 2 +- test/runtests_grid_refinement.jl | 13 +++++ test/runtests_parallel_integration.jl | 38 ++++++++------ 5 files changed, 128 insertions(+), 36 deletions(-) diff --git a/src/Equilibrium/GridRefinement.jl b/src/Equilibrium/GridRefinement.jl index 2fce25f58..09867771b 100644 --- a/src/Equilibrium/GridRefinement.jl +++ b/src/Equilibrium/GridRefinement.jl @@ -35,10 +35,10 @@ const H_TARGET_MIN = 1e-4 const H_TARGET_MAX = 0.2 # θ-lines subsample stride for the 2D geometry channels const THETA_STRIDE = 8 -# Local packing around mandatory (rational) surfaces: knot spacing h_s = coef·τ^(1/3) at -# the surface, geometric growth away from it, applied within the given radius. The Δ' -# asymptotic matching samples the ψ-splined coefficient matrices around each singular -# surface, so their local interpolation error controls Δ' convergence there. +# Local density elevation around mandatory (rational) surfaces: knot spacing h_s = coef·τ^(1/3) +# at the surface, geometric growth away from it, applied within the given radius. This keeps the +# equidistributed base grid from starving the approach to each rational; the explicit ladder +# (ForceFreeStates.rational_psi_ladder) then owns the fine, τ-invariant layer resolution. const SING_PACK_COEF = 0.06 const SING_PACK_RADIUS = 0.05 @@ -206,7 +206,7 @@ function _knot_density(equil::PlasmaEquilibrium; tau::Float64, kin::Union{Nothin rho_s[i] = max(rho_s[i], 1.0 / H_TARGET_MAX) end - # Local packing around mandatory (rational) surfaces + # Local density elevation around mandatory (rational) surfaces h_s = max(SING_PACK_COEF * tau^(1 / 3), H_TARGET_MIN) for psi_m in mandatory @inbounds for i in 1:n @@ -249,22 +249,23 @@ function _equidistribute(xs::Vector{Float64}, rho::Vector{Float64}, N::Int) end """ - merge_mandatory_nodes(grid, mandatory; delta_frac=0.25) -> Vector{Float64} - -Insert mandatory knots (e.g. rational surfaces) into a base grid with a minimum-spacing -guard: for each mandatory node, δ_min = `delta_frac` × (containing base-grid interval), -and any pre-existing non-mandatory node within δ_min is dropped (snap — the mandatory node -is never moved). Endpoints always win: mandatory nodes outside the open span or within -δ_min of an endpoint are discarded. Mandatory nodes within δ_min of an earlier mandatory -node are collapsed onto it — the same physical surface can be found through several (m, n) -pairs differing only by root-finder noise, and a near-zero interval would ring the -reconstructed splines; two genuinely distinct surfaces closer than δ_min cannot be -resolved separately at the local grid resolution anyway. + merge_mandatory_nodes(grid, mandatory; delta_frac=0.25, collapse_atol=1e-7) -> Vector{Float64} + +Insert mandatory knots (e.g. rational surfaces, or a geometric ladder straddling them) into +a base grid with a minimum-spacing guard: for each mandatory node, δ_min = `delta_frac` × +(containing base-grid interval), and any pre-existing non-mandatory node within δ_min is +dropped (snap — the mandatory node is never moved). Endpoints always win: mandatory nodes +outside the open span or within δ_min of an endpoint are discarded. Mandatory nodes within +`collapse_atol` of an earlier mandatory node are collapsed onto it — the same physical +surface can be found through several (m, n) pairs differing only by root-finder noise, and a +near-zero interval would ring the reconstructed splines. Collapse uses an absolute tolerance, +not δ_min, so intentionally fine mandatory clusters (a singular-layer ladder whose spacing is +far below the base interval) survive while true duplicates still merge. The function is agnostic to node provenance, so future mandatory sources (e.g. kinetic resonance surfaces) plug in without change. """ -function merge_mandatory_nodes(grid::Vector{Float64}, mandatory::Vector{Float64}; delta_frac::Float64=0.25) +function merge_mandatory_nodes(grid::Vector{Float64}, mandatory::Vector{Float64}; delta_frac::Float64=0.25, collapse_atol::Float64=1e-7) isempty(mandatory) && return copy(grid) lo, hi = grid[1], grid[end] mand = sort(unique(mandatory)) @@ -281,8 +282,8 @@ function merge_mandatory_nodes(grid::Vector{Float64}, mandatory::Vector{Float64} (lo < m < hi) || continue δ = delta_frac * base_h(m) (m - lo < δ || hi - m < δ) && continue - if m - last_mand < δ - @debug "merge_mandatory_nodes: collapsing mandatory node ψ=$m onto ψ=$last_mand (spacing < δ_min)" + if m - last_mand < collapse_atol + @debug "merge_mandatory_nodes: collapsing mandatory node ψ=$m onto ψ=$last_mand (spacing < collapse_atol)" continue end # Snap: drop non-mandatory, non-endpoint nodes within δ of the mandatory node diff --git a/src/ForceFreeStates/Sing.jl b/src/ForceFreeStates/Sing.jl index 211e6f30d..f318c389f 100644 --- a/src/ForceFreeStates/Sing.jl +++ b/src/ForceFreeStates/Sing.jl @@ -55,6 +55,78 @@ function rational_psi_nodes(equil::Equilibrium.PlasmaEquilibrium; nlow::Int, nhi return sort!(nodes) end +# Geometric knot ladder straddling each rational surface (see `rational_psi_ladder`). The +# innermost spacing `SING_LADDER_H0` is a fixed absolute ψ_N step — independent of the global +# accuracy target τ, so the singular-layer stencil (and hence Δ′) is τ-invariant — chosen to +# match the equilibrium's native radial resolution. It must NOT be pushed below that +# resolution (e.g. down to the Δ′ matching offset singfac_min/|n·q1| ~ 1e-5): the equilibrium +# is smooth through a rational, so sub-resolution knots merely make the re-splined equilibrium +# ring, and the Δ′ small/large-solution cancellation amplifies that noise into a spurious Δ′. +const SING_LADDER_H0 = 1.0e-3 # innermost ladder spacing (absolute ψ_N step at the surface) +const SING_LADDER_GROWTH = 2.0 # geometric growth of ladder spacing away from the surface +const SING_LADDER_KMAX = 12 # cap on ladder knots per side +const SING_LADDER_RADIUS = 0.05 # ψ_N half-width of the packed region around each rational + +""" + rational_psi_ladder(equil::Equilibrium.PlasmaEquilibrium; nlow::Int, nhigh::Int=nlow, + singfac_min::Float64, h0=SING_LADDER_H0, growth=SING_LADDER_GROWTH, + kmax=SING_LADDER_KMAX, radius=SING_LADDER_RADIUS) + +Mandatory ψ_N knots for the two-pass grid refinement: each rational surface q = m/n gets a +symmetric geometric ladder straddling it, so the Δ′ singular-layer stencil is resolved +identically regardless of the global accuracy target τ (`psi_accuracy`). Knots sit at ψ_r, +ψ_r ± `h0`, ψ_r ± `h0`·`growth`, … out to `radius`, with a fixed absolute innermost spacing +`h0` chosen to match the equilibrium's native radial resolution. A τ- (and grid-topology-) +invariant stencil is what makes Δ′ grid-robust; `h0` must stay at the equilibrium resolution, +not the far finer perturbed-ODE matching offset (see the note on `SING_LADDER_H0`). Returns a +sorted, unique vector including the exact rationals; falls back to the bare rationals when +`singfac_min <= 0` (no surface crossing, so no Δ′ layer to resolve). +""" +function rational_psi_ladder(equil::Equilibrium.PlasmaEquilibrium; nlow::Int, nhigh::Int=nlow, + singfac_min::Float64, h0::Float64=SING_LADDER_H0, growth::Float64=SING_LADDER_GROWTH, + kmax::Int=SING_LADDER_KMAX, radius::Float64=SING_LADDER_RADIUS) + singfac_min > 0 || return rational_psi_nodes(equil; nlow=nlow, nhigh=nhigh) + lo, hi = first(equil.profiles.xs), last(equil.profiles.xs) + knots = Float64[] + is_rational = Bool[] + qs = Float64[] + for s in _find_rational_surfaces(equil, nlow, nhigh) + q = s.m / s.n + any(qq -> isapprox(qq, q; atol=1e-8), qs) && continue + push!(qs, q) + push!(knots, s.psifac) + push!(is_rational, true) + d = h0 + for _ in 1:kmax + d > radius && break + push!(knots, s.psifac + d) + push!(knots, s.psifac - d) + push!(is_rational, false) + push!(is_rational, false) + d *= growth + end + end + # Thin to a native-resolution minimum spacing h0: overlapping ladders from nearby rationals + # (low shear / multi-n) must not create sub-h0 intervals that ring the re-splined equilibrium. + # Sweep in ψ order keeping a knot only if it is ≥ h0 from the last kept one; an exact rational + # displaces a too-close ladder knot (a pair of rationals closer than h0 cannot be resolved + # separately at this spacing, so only the first is kept). + kept = Float64[] + kept_rational = Bool[] + for i in sortperm(knots) + x = knots[i] + (lo < x < hi) || continue + if isempty(kept) || x - kept[end] >= h0 + push!(kept, x) + push!(kept_rational, is_rational[i]) + elseif is_rational[i] && !kept_rational[end] + kept[end] = x + kept_rational[end] = true + end + end + return kept +end + """ sing_find!(intr::ForceFreeStatesInternal, equil::Equilibrium.PlasmaEquilibrium) diff --git a/src/GeneralizedPerturbedEquilibrium.jl b/src/GeneralizedPerturbedEquilibrium.jl index 99d8272f2..fa6f4434c 100755 --- a/src/GeneralizedPerturbedEquilibrium.jl +++ b/src/GeneralizedPerturbedEquilibrium.jl @@ -235,7 +235,7 @@ function main_from_inputs( # kinetic profiles), pin knots on rational surfaces, and re-form on the refined grid # from the in-memory input — no file re-read. if Equilibrium.wants_two_pass(eq_config) - mandatory = ForceFreeStates.rational_psi_nodes(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high) + mandatory = ForceFreeStates.rational_psi_ladder(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high, singfac_min=ctrl.singfac_min) psi_nodes = Equilibrium.refined_psi_grid(equil; tau=eq_config.psi_accuracy, kin=kinetic_profiles, mandatory=mandatory) rerun_input = if additional_input !== nothing diff --git a/test/runtests_grid_refinement.jl b/test/runtests_grid_refinement.jl index 5c266fa89..7bda6422d 100644 --- a/test/runtests_grid_refinement.jl +++ b/test/runtests_grid_refinement.jl @@ -126,6 +126,19 @@ const GridRef = GeneralizedPerturbedEquilibrium.Equilibrium @test grid[1] == eq_config.psilow && grid[end] == eq_config.psihigh @test all(p -> p in grid, rat) + # Singular-layer knot ladder: each rational is straddled, and no interval falls below + # the native-resolution floor h0 — even when multi-n (n=1,2) rationals cluster and their + # ladders overlap, the min-spacing thinning prevents sub-h0 intervals that would ring the + # re-splined equilibrium (and blow up Δ'). + h0 = GeneralizedPerturbedEquilibrium.ForceFreeStates.SING_LADDER_H0 + ladder = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_ladder(equil1; nlow=1, nhigh=2, singfac_min=1e-4) + @test issorted(ladder) && allunique(ladder) + @test length(ladder) > length(rat) # ladder adds straddling knots + @test minimum(diff(ladder)) >= h0 - 1e-12 # thinning: no sub-h0 intervals + @test all(r -> any(k -> abs(k - r) <= h0 + 1e-12, ladder), rat) # every rational straddled + # singfac_min <= 0 disables crossing → falls back to the bare rationals (no ladder) + @test GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_ladder(equil1; nlow=1, nhigh=2, singfac_min=0.0) == rat + # Pass 2 honors the refined grid exactly equil2 = GridRef.setup_equilibrium(eq_config, sol_config; override_psi_nodes=grid) @test equil2.profiles.xs == grid diff --git a/test/runtests_parallel_integration.jl b/test/runtests_parallel_integration.jl index da6517864..acfa58e97 100644 --- a/test/runtests_parallel_integration.jl +++ b/test/runtests_parallel_integration.jl @@ -290,11 +290,11 @@ using TOML eq_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(inputs["Equilibrium"], ex) equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, haskey(inputs, "SOL_INPUT") ? GeneralizedPerturbedEquilibrium.Equilibrium.SolovevConfig(inputs["SOL_INPUT"]) : nothing) # Apply the two-pass auto grid exactly as the main driver does (the example ships - # grid_type="auto", mpsi=0): rational-surface knots + measured-curvature refinement, - # re-formed from the captured ingest. The pinned values below are for this grid, - # which is the production default. + # grid_type="auto", mpsi=0): singular-layer knot ladder + measured-curvature + # refinement, re-formed from the captured ingest. The pinned values below are for + # this grid, which is the production default. if GeneralizedPerturbedEquilibrium.Equilibrium.wants_two_pass(eq_config) - mand = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_nodes(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high) + mand = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_ladder(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high, singfac_min=ctrl.singfac_min) psi_nodes = GeneralizedPerturbedEquilibrium.Equilibrium.refined_psi_grid(equil; tau=eq_config.psi_accuracy, mandatory=mand) rerun_input = GeneralizedPerturbedEquilibrium.Equilibrium.build_direct_from_ingest(eq_config, equil.ingest) equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, rerun_input; override_psi_nodes=psi_nodes) @@ -497,10 +497,11 @@ using TOML (Symbol(k) => v for (k, v) in inputs["ForceFreeStates"])...) eq_config = GeneralizedPerturbedEquilibrium.Equilibrium.EquilibriumConfig(inputs["Equilibrium"], ex) equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, haskey(inputs, "SOL_INPUT") ? GeneralizedPerturbedEquilibrium.Equilibrium.SolovevConfig(inputs["SOL_INPUT"]) : nothing) - # Apply the two-pass auto grid exactly as the main driver does (see the FM testset - # above); the pinned values below are for this grid, the production default. + # Apply the two-pass auto grid (singular-layer knot ladder + curvature refinement) + # exactly as the main driver does (see the FM testset above); the pinned values below + # are for this grid, the production default. if GeneralizedPerturbedEquilibrium.Equilibrium.wants_two_pass(eq_config) - mand = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_nodes(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high) + mand = GeneralizedPerturbedEquilibrium.ForceFreeStates.rational_psi_ladder(equil; nlow=ctrl.nn_low, nhigh=ctrl.nn_high, singfac_min=ctrl.singfac_min) psi_nodes = GeneralizedPerturbedEquilibrium.Equilibrium.refined_psi_grid(equil; tau=eq_config.psi_accuracy, mandatory=mand) rerun_input = GeneralizedPerturbedEquilibrium.Equilibrium.build_direct_from_ingest(eq_config, equil.ingest) equil = GeneralizedPerturbedEquilibrium.Equilibrium.setup_equilibrium(eq_config, rerun_input; override_psi_nodes=psi_nodes) @@ -543,15 +544,20 @@ using TOML end # Pinned diagonal `delta_prime_matrix` REAL parts, PEST3-convention self-response Δ' from - # the STRIDE BVP with vacuum coupling. Only real parts are pinned: imaginary parts are - # dominated by the PEST3 four-term cancellation and are setup/FP-sensitive. Inner surfaces - # (q=2,3,4) are grid-converged → pinned tight (q=2,3) / moderate (q=4). Near-separatrix - # surfaces q=5,6 (ψ≈0.98, 0.997) are NOT converged — real part and even sign can fluctuate - # — so they get only the finiteness/non-zero checks above, not value pins. Values use this - # testset's mode range (mpert=27, vs full-pipeline mpert=35, so they differ slightly). - @test isapprox(real(dpm[1, 1]), +7.280089e+00; rtol=1e-2) # q=2 - @test isapprox(real(dpm[2, 2]), -5.211187e+00; rtol=1e-2) # q=3 - @test isapprox(real(dpm[3, 3]), -1.581737e+01; rtol=3e-2) # q=4 + # the STRIDE BVP with vacuum coupling, on the two-pass auto grid with the singular-layer + # knot ladder (`rational_psi_ladder`). The ladder pins a τ-invariant stencil straddling + # each rational, which makes Δ' grid-robust: a psi_accuracy scan (2e-3→2.5e-4) holds + # dpm[1,1] to ~4% and dpm[2,2]/dpm[3,3] to <1%, versus ~30% swings without it. These + # values match the finer ldp mpsi=512 grid (dpm[1,1]≈8.48); ldp mpsi=256 undershoots + # (≈7.28) because it under-resolves the rationals. Only real parts are pinned — the + # imaginary parts are dominated by the PEST3 four-term cancellation and are FP/platform- + # sensitive — at rtol=0.1, which covers the residual grid dependence and that cancellation. + # Near-separatrix surfaces q=5,6 keep only the finiteness/non-zero checks above (their real + # part and sign still fluctuate O(1) with grid). Values use this testset's mode range + # (mpert=27, vs full-pipeline mpert=35, so they differ slightly). + @test isapprox(real(dpm[1, 1]), +8.402503e+00; rtol=1e-1) # q=2 + @test isapprox(real(dpm[2, 2]), -5.802715e+00; rtol=1e-1) # q=3 + @test isapprox(real(dpm[3, 3]), -1.597267e+01; rtol=1e-1) # q=4 end end