Analysis of the lattice Boltzmann treatment of hydrodynamics

Guy McNamara and Berni Alder

Physica A: Statistical Mechanics and its Applications, 1993, vol. 194, issue 1, 218-228

Abstract: It is shown that the lattice-Boltzmann model can be made to obey the three-dimensional thermal Navier-Stokes equations by fixing 26 moments of the equilibrium distribution function. This can be achieved on a cubic lattice with particle velocities connecting each lattice site to its first, second and third nearest neighbors; however, this minimal model is not linearly stable in the limit of low transport coefficients. Additional particle velocities must be selected to achieve linear stability.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:194:y:1993:i:1:p:218-228

DOI: 10.1016/0378-4371(93)90356-9

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