A priori derivation of the lattice Boltzmann equation

  title={A priori derivation of the lattice Boltzmann equation},
  author={Xiaoyi He and Li-Shi Luo and Boltzmann Bhatnagar-Gross-Krook},
The lattice Boltzmann equation ~LBE! is directly derived from the Boltzmann equation by discretization in both time and phase space. A procedure to systematically derive discrete velocity models is presented. A LBE algorithm with arbitrary mesh grids is proposed and a numerical simulation of the backward-facing step is conducted. The numerical result agrees well with experimental and previous numerical results. Various improvements on the LBE models are discussed, and an explanation of the… CONTINUE READING
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