Cellular Automaton, Random Walks, and Fluid Mechanics

AI Thread Summary
The discussion revolves around understanding the connection between cellular automata, random walks, and fluid mechanics, specifically in the context of approximating solutions to Burger's equation through a one-dimensional cellular automaton simulation. The original poster expresses confusion about how these concepts interrelate, despite familiarity with the relationship between random walks and the diffusion equation. A request for assistance and references to the relevant paper, "A Cellular Automaton for Burgers' Equation" by Boghosian and Levermore, is made. The paper is linked for further exploration. Clarification on these connections is sought to deepen understanding of the simulation's implications in fluid mechanics.
curiousofComplex
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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?
 
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Can you post a reference to the paper in question?
 

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