Cellular Automaton, Random Walks, and Fluid Mechanics

[curiousofComplex]

Hi I'm trying to understand a paper that approximates the solution to Burger's equation (1D Navier Stokes) by a doing a one-dimensional cellular automaton simulation. I'm having a hard time understanding how all these topics connect. I have seen and walked through various demonstrations that show how random walks and the diffusion equation are related, but am unsure how this relates to the cellular Automaton. Can anyone help me out?

 

[Dale]

Can you post a reference to the paper in question?

 

[curiousofComplex]

Here is a link http://www.complex-systems.com/pdf/01-1-2.pdf
The paper is called A Cellular Automaton for Burgers' Equation by Boghosian and Levermore

Thanks!