Xiaoyi He, Xiaowen Shan, and Gary D. Doolen (1998)

Discrete Boltzmann equation model for nonideal gases, Phys. Rev. E, 57, R13

This paper shows among other things how to get the lattice Boltzmann equation from the discrete Boltzmann equation. The trapezoid rule is used to integrate along the path of a fluid element in space and time, which shows that the numerical scheme is second-order accurate. It is therefore useful to read this paper together with He et al. 1997, because the path integration is only resolved with first-order accuracy in the latter. The whole “from discrete Boltzmann to lattice Boltzmann” business is also summarized nicely in Dellar 2003.

literature/he_98.txt · Last modified: 2011/10/29 19:08 (external edit)
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