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Discovery of Rossby barometric waves in the free atmosphere: Numerical approach

This project, carried out as part of the LPHYS2163 course, explores Rossby waves: atmospheric oscillations influenced by variations in the Coriolis force. A numerical approach is used to model their behaviour and observe their evolution over time.

Project description

The project implements a numerical simulation of Rossby waves by solving the absolute vorticity equations in a barotropic fluid of constant depth. The main steps include:

  • Derivation of the vorticity and current function equations

  • Discretisation of the model using finite differences

  • Simulation and analysis of the temporal evolution of relative vorticity

  • Sensitivity tests on various parameters (wavelength, latitude, beta coefficient)

Usage

Run the main script to start the simulation: Barotropic_Rossby_waves.py

Results and visualisation

The figures produced illustrate the temporal evolution of the relative vorticity and velocity fields, highlighting the properties of Rossby waves.

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Discovery of Rossby barometric waves in the free atmosphere: Numerical approach

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