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Burgers Equation in 1D and 2D

4.0 | 3 ratings Rate this file 24 Downloads (last 30 days) File Size: 3.23 KB File ID: #38087 Version: 1.0
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Burgers Equation in 1D and 2D


Suraj Shankar (view profile)


Simulating the Burgers equation in both 1D and 2D using finite differencing.

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The 1D Burgers equation is solved using explicit spatial discretization (upwind and central difference) with periodic boundary conditions on the domain (0,2). The 2D case is solved on a square domain of 2X2 and both explicit and implicit methods are used for the diffusive terms. Dirichlet boundary conditions are used along the edges of the domain.

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MATLAB release MATLAB 7.10 (R2010a)
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Comments and Ratings (5)
30 Sep 2016 Lisa97

Lisa97 (view profile)

02 May 2015 Mohammad Alhawwary

Thanks Suraj for the effort. Unfortunately, I think there is a small error in this script. It is about the periodic boundary condition using the auxiliary variables ip,im. I think ip(nx) should be equal to index 2 ,i.e. ip(nx)=2. For im(1) it should be equal to nx-1, i.e. im(1)=nx-1.

Another issue that I do not understand is the if condition in the solution for loop, I am not sure what is it about, if you can explain?

08 Sep 2013 Suraj Shankar

Suraj Shankar (view profile)

@Hwang : I'm glad the code was of help to you.

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05 Sep 2013 Suraj Shankar

Suraj Shankar (view profile)

The code is meant to be pedagogical in nature and has been made in line with the 12-steps to Navier-Stokes practical module, for which I would like to credit Lorena Barba and her online course on CFD.

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29 Aug 2013 Hwang

Hwang (view profile)

I learned the pseudocode at the BU's CFD course and this is helpful for me. Thanks. Maybe you can share more like this.

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