Solvind 2D version of scalar inviscid Burgers Equation using

[Apoorv srivastava]

Hi,

I am working on solving a 2D version of the scalar inviscid Burgers equation: u_t + (u^2/2)_x + (u^2/2)_y = 0. The grid is rectangular and I expect the solution to develop shocks.

I have been unable to find a solver for this problem. I would greatly appreciate some pointers on the following:

1. Are there any existing solvers that can be adapted for this equation?
2. If not, could you recommend resources or guidelines for developing a custom solver for this problem?

Thanks,

Apoorv

[Kyle Mandli]

Hi Apoorv,

There is a 2D Burgers' equation example in AMRClaw.

http://www.clawpack.org/gallery/gallery/gallery_classic_amrclaw.html#dimensional-burgers-equation

Kyle

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[Praveen C]

Here is an example code taken from RJL’s book, I think it solves same problem as the amrclaw example

https://github.com/cpraveen/chpde/tree/master/burgers_2d

best

praveen

[Apoorv srivastava]

Hi Kyle and Praveen,

Thank you! Sorry, I didn't look through the AMRClaw example as I was working with Pyclaw.

@Praveen, thanks a lot for sharing the Pyclaw script.

Apoorv