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wave_equation_simulations
Python script solving the wave equation (équations de D'Alembert) 1D and 2D by taking into account velocity variation.
sachabinderPython★ 55⑂ 10 forksupdated 5 years ago
git clone https://github.com/sachabinder/wave_equation_simulations.gitsachabinder/wave_equation_simulationsREADME.mdfork it — it’s yours
Wave equation simulations 1D/2D (équation de D'Alembert)
To cite this version:
Sacha BINDER. Étude de l’observation et de la modélisation des ondes de surface en eau peu profonde. Physique-Informatique.TIPE session 2021.
Python model solving the wave equations in 1D and 2D. All the process of calculation is based on finite difference method. The simulation include a variation of wave's velocity in the spatial domain. Scripts are using NumPy, Matplotlib and SciPy libraries.
1D simulation
The script 1D_WAVE-EQ_variable-velocity.py can be used to simulate several situations :
- Wave propagation at constant speed (left) and variable speed (right) :
- Wave propagation with several boundary conditions such as Dirichlet, Neumann and Mur's (Impedance matching) :
2D simulation
The script 2D_WAVE-EQ_variable-velocity.py is a two-dimensional generalisation of what was presented previously :
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