kaityo256/python_gs

Python implemenation of Gray-Scott Model

Python implemenation of Gray-Scott Model

Summary

A simulation of Gray-Scott model which is one of the famous reaction-diffusion systems. There two components in the system, u and v.

The governing equation is as follows.

• Du, Dv: diffusion constants for u and v
• F, k: some constants

The above system denotes the chemical reaction of U + 2 V -> 3V and V -> P. We choose (Du, Dv, F, k) as (0.1, 0.05, 0.04, 0.06075).

Usage

Run the following command.

python gs.py

Then you will have the following image.

If you want some animation, run the following.

pythong gs_anime.py

Then you will have images from gs_00.png to gs_99.png. Some of them look as follows.

You can generate animation gif by some tool such as ImageMagick.

convert gs*.png gs.gif