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Some progress in lattice Boltzmann method. I: Nonuniform mesh grids. (English) Zbl 0868.76068
Summary: A new lattice Boltzmann algorithm is proposed to simulate the Navier-Stokes equation on arbitrary nonuniform mesh grids. The new algorithm retains the advantages of the lattice Boltzmann method: parallel algorithm, ease of programming, and ability to incorporate microscopic interactions. A simulation of flow in a two-dimensional symmetric channel with sudden expansion is carried out using the new algorithm on a nonuniform mesh. The results of the simulation are in agreement with previous experimental and numerical results.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
Full Text: DOI
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