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EXPRO_2_perfect_geometry.py
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174 lines (138 loc) · 6.58 KB
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from __future__ import division
import numpy as np
from perfectGeometryFile import perfectGeometry
from diff_matrix import diff_matrix
from perfectInputFile import perfectInput
from scipy.interpolate import interp1d, interp2d
import h5py
import f90nml # You may need to install this module if you do not have it already, e.g. "pip install --user f90nml"
def read_file(filename):
with open(filename,'r') as f:
l = f.readline()
ls = l.split()
array = np.array([float(x) for x in ls])
return array
class EXPRO_geometry(object):
def read_psi(self):
self.psi = read_file(self.dirname + "/" + self.psi_filename)
self.psia = self.psi[-1]
self.psiN = self.psi/self.psia
self.Npsi = len(self.psi)
def read_theta(self):
self.theta = read_file(self.dirname + "/" + self.theta_filename)
self.Ntheta = len(self.theta)
def read_I(self):
self.I = read_file(self.dirname + "/" + self.I_filename)
def read_B(self):
array = read_file(self.dirname + "/" + self.B_filename)
self.B=array.reshape(self.shape,order=self.order)
def read_R(self):
array = read_file(self.dirname + "/" + self.R_filename)
self.R=array.reshape(self.shape,order=self.order)
def read_J(self):
array = 1/read_file(self.dirname + "/" + self.J_filename)
self.J=array.reshape(self.shape,order=self.order)
def __init__(self,dirname):
self.order='F'
self.dirname = dirname
self.B_filename = "B"
self.R_filename = "bigR"
self.J_filename = "jacob"
self.I_filename = "I"
self.psi_filename = "psi"
self.theta_filename = "theta"
self.read_psi()
self.read_theta()
self.shape = (self.Npsi,self.Ntheta)
self.psiN2D,self.theta2D = np.meshgrid(self.psiN,self.theta,indexing='ij')
self.read_I()
self.read_B()
self.read_R()
self.read_J()
# differentiation matrices
self.ddtheta=diff_matrix(self.theta[0],self.theta[0]+2*np.pi,self.Ntheta,order=4,periodic=True,endpoint=False)
self.ddpsiN=diff_matrix(self.psiN[0],self.psiN[-1],self.Npsi,order=4,periodic=False,endpoint=True)
self.ddtheta_B = np.einsum('kj,ij',self.ddtheta,self.B)
self.ddpsiN_B = np.tensordot(self.ddpsiN,self.B,([1],[0]))
self.ddpsiN_I = np.tensordot(self.ddpsiN,self.I,([1],[0]))
def create_perfect_geometry(self,p_dirname,p_filename="input.namelist",norm_filename = "norms.namelist"):
pinput = perfectInput(p_dirname + "/" + p_filename)
normfile = f90nml.read(p_dirname + "/" + norm_filename)
norm_group_name="normalizationParameters"
BBar=normfile[norm_group_name]["BBar"]
RBar=normfile[norm_group_name]["RBar"]
TBar=normfile[norm_group_name]["TBar"]
mBar=normfile[norm_group_name]["mBar"]
nBar=normfile[norm_group_name]["nBar"]
eBar=normfile[norm_group_name]["eBar"]
ePhiBar=normfile[norm_group_name]["ePhiBar"]
vBar=np.sqrt(2*TBar/mBar)
pNtheta = pinput.Ntheta
ptheta = pinput.theta
pNpsi = pinput.Npsi
pinput.psiAHat = self.psia/(BBar*RBar**2)
psiMin = pinput.psiMin
psiMax = pinput.psiMax
if pinput.psiGridType == 0:
ppsiN = pinput.psi
else:
psiAHatFilename = pinput.psiAHatFilename
psiN_to_psi_profiles=h5py.File(p_dirname + "/" + psiAHatFilename,'r')
psiN_to_psi_groupname="/Npsi"+str(pNpsi)+"/"
psiAHatArray = psiN_to_psi_profiles[psiN_to_psi_groupname+"psiAHatArray"][()]
# these are the actual (nonuniform) psi and psiN
ppsi = psiN_to_psi_profiles[psiN_to_psi_groupname+"psiArray"][()]
ppsiN = psiN_to_psi_profiles[psiN_to_psi_groupname+"psiArray"][()]/self.psia
internal_gradient_conversion_factor = psiAHatArray/self.psia
IHat_interp = interp1d(self.psiN,self.I/(RBar*BBar))
ddpsiN_IHat_interp = interp1d(self.psiN,self.ddpsiN_I/(RBar*BBar))
# use %2pi on theta to go from [-pi,pi) to [0,2pi)
# BHat_interp = interp2d(self.psiN2D,self.theta2D%(2*np.pi),self.B/(BBar))
# ddtheta_BHat_interp = interp2d(self.psiN2D,self.theta2D%(2*np.pi),self.ddtheta_B/(BBar))
# ddpsiN_BHat_interp = interp2d(self.psiN2D,self.theta2D%(2*np.pi),self.ddpsiN_B/(BBar))
# RHat_interp = interp2d(self.psiN2D,self.theta2D%(2*np.pi),self.R/(RBar))
# JHat_interp = interp2d(self.psiN2D,self.theta2D%(2*np.pi),self.J/(BBar/RBar))
BHat_interp = interp2d(self.theta%(2*np.pi),self.psiN,self.B/(BBar))
ddtheta_BHat_interp = interp2d(self.theta%(2*np.pi),self.psiN,self.ddtheta_B/(BBar))
ddpsiN_BHat_interp = interp2d(self.theta%(2*np.pi),self.psiN,self.ddpsiN_B/(BBar))
RHat_interp = interp2d(self.theta%(2*np.pi),self.psiN,self.R/(RBar))
JHat_interp = interp2d(self.theta%(2*np.pi),self.psiN,self.J/(BBar/RBar))
BHat = BHat_interp(ptheta,ppsiN)
dBHatdpsi = ddpsiN_BHat_interp(ptheta,ppsiN)
dBHatdtheta = ddtheta_BHat_interp(ptheta,ppsiN)
RHat = RHat_interp(ptheta,ppsiN)
JHat = JHat_interp(ptheta,ppsiN)
IHat = IHat_interp(ppsiN)
dIHatdpsi = ddpsiN_IHat_interp(ppsiN)
pg_filename = pinput.geometryFilename
pg = perfectGeometry(p_dirname + "/" + pg_filename)
if pNpsi==1:
BHat = BHat[np.newaxis,:]
RHat = RHat[np.newaxis,:]
JHat = JHat[np.newaxis,:]
dBHatdpsi = dBHatdpsi[np.newaxis,:]
dBHatdtheta = dBHatdtheta[np.newaxis,:]
pg.create_geometry_for_Npsi_Ntheta(pNpsi, pNtheta, psiMin, psiMax, BHat, dBHatdpsi, dBHatdtheta, RHat, JHat, IHat, dIHatdpsi)
if __name__=="__main__":
import matplotlib.pyplot as plt
import sys
argc = len(sys.argv)
if argc == 3:
neo_dir = sys.argv[1]
perfect_dir = sys.argv[2]
elif argc == 2:
neo_dir = sys.argv[1]
perfect_dir = '.'
else:
raise ValueError("Need an eqdsk filename as an input argument")
#neo_dir ='/home/bstefan/neoSimuls/t'
#perfect_dir = "/home/bstefan/perfectSimuls/T17-09/JET89454_NU_geo_test"
eg = EXPRO_geometry(neo_dir)
# print "Printing B..."
# plt.pcolor(eg.psiN2D,eg.theta2D,eg.B,rasterized=True)
# plt.colorbar()
# plt.xlabel(r"$\psi_N$")
# plt.ylabel(r"$\theta$")
# plt.savefig('EXPRO_B.pdf')
print "Creating perfect geometry..."
eg.create_perfect_geometry(perfect_dir)