https://github.com/larsgeb/rayleigh-bernard

A simple finite difference scheme for the Rayleigh-Bernard equations (buoyancy driven convection).
https://github.com/larsgeb/rayleigh-bernard

fdtd finite-difference finite-difference-time-domain porous-media rayleigh-taylor thermal-conductivity thermal-convection transport-equation

Last synced: 2 months ago
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A simple finite difference scheme for the Rayleigh-Bernard equations (buoyancy driven convection).

• Host: GitHub
• URL: https://github.com/larsgeb/rayleigh-bernard
• Owner: larsgeb
• License: bsd-3-clause
• Created: 2018-02-20T06:27:03.000Z (almost 7 years ago)
• Default Branch: master
• Last Pushed: 2020-11-10T09:45:55.000Z (about 4 years ago)
• Last Synced: 2024-10-09T08:08:16.119Z (3 months ago)
• Topics: fdtd, finite-difference, finite-difference-time-domain, porous-media, rayleigh-taylor, thermal-conductivity, thermal-convection, transport-equation
• Language: Python
• Homepage:
• Size: 1.95 MB
• Stars: 13
• Watchers: 2
• Forks: 1
• Open Issues: 2
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
A finite difference code to simulate 2D advection-convection, or Rayleigh-Bernard, systems.

Has the dependencies:

1. Python 3.7

2. Numpy

3. SciPy

4. Matplotlib

Run the code by changing the configuration values in `main.py` and entering the following on your terminal:

```

python main.py

```

Make a video out of the results by going into the `simulations` directory and using ffmpeg like this:

```

ffmpeg -framerate 5 -pattern_type glob -i '*.png' \

  -c:v libx264 -r 30 -pix_fmt yuv420p out.mp4

```

An example simulation with an unstable initial condition and 3:1 aspect ratio (which will favour 3 convection cells) is given below. This is the parameters currently set in `main.py`.

![](example_simulation.gif)