How could I reproduce the Burgers equation's data?

[ZirconWu]

Dear professor, I'd like to ask how could I reproduce the Burgers equation's data in the "\examples\ dataset \ Buegers.npz" document? Because I have a try to use the expression of One-soliton solution to got the same data. But it is not success. And I saw that both positive and negative numbers in the data. I hope to get an answer, thank you.

[praksharma]

https://github.com/lululxvi/deepxde/blob/master/examples/dataset/Burgers.npz

[ZirconWu]

Thank you for your reply. I had gain those data in the link before. But I want to reproduce the same data using Matlab or Python. It made me puzzled.

[praksharma]

sorry. Didn't read your question carefully. There are multiple ways to simulate the Burgers equation in Python or Matlab.If you want to use software without going into detail use OpenFOAM. By the way, you can find lots of Python code here on Github. Have a look at this manual. They have a python code for you to play with.

http://www.thevisualroom.com/burgers_equation.html

Once you have the simulation results use numpy.savez() to create a npz file.

[praksharma]

Just to elaborate, you could possibly use finite difference, finite elements, finite volumes, lattice Boltzmann etc. The easiest would be using finite difference. However, It would be much easier to run a code that is already available.

For MATLAB codes, I would suggest you try MATLAB central. For Python codes, Github is the best place I guess.