I am trying to learn the Lattice-Boltzmann method and was looking for some good beginner resources explaining the method. I have been looking at some codes online, but have been having trouble understanding them.

Can someone suggest some good introductory resources about the Lattice-Boltzmann method? If you know of any codes that might be useful then please link to them as well (Matlab preferred).


closed as too broad by Kirill, Paul Mar 23 '16 at 15:32

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  • 1
    $\begingroup$ Welcome to SciComp.SE. This is not the right place for what you are asking. If you want to keep your question here I suggest you to describe your problem. What is the equation you are trying to solve? What is the part you don't understand? What have you tried so far? $\endgroup$ – nicoguaro Mar 2 '16 at 22:15
  • $\begingroup$ Have you read the Wikipedia article and checked this site? $\endgroup$ – nicoguaro Mar 2 '16 at 22:16

Back in August 2011, I followed a beginners course on LBM in Canada. The resources for that course are still up and contain a nice tutorial covering a wide range of topics: theory, coding setup, boundary conditions, multiphase, etc. The simpler tutorials are in Matlab, for the more advanced tutorials some knowledge of C/C++ is required. To be frank if you plan on doing anything worthwhile in CFD using LBM you will probably need to step away from Matlab at some point anyway.

As for literature which contains some nice coding samples:

  1. Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers by Sukop & Thorne
  2. Lattice Boltzmann Method Fundamentals and Engineering Applications with Computer Codes by Mohamad

As for other literature which is required reading to understand LBMs:

  1. The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond by Succi
  2. Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction by Wolf-Gladrow

Some opensource codes to get you started:

  1. Palabos - written in C++ for multi-CPU applications. Contains a cavity example in 2D and 3D.
  2. Sailfish CFD - written in Python with a CUDA/OpenCL backend using the pyCuda/pyOpenCl API for multi-GPU applications. Also contains a cavity example in 2D. (my personal favorite)

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