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Analysis of the lattice Boltzmann treatment of hydrodynamics

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  • McNamara, Guy
  • Alder, Berni

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.

Suggested Citation

  • McNamara, Guy & Alder, Berni, 1993. "Analysis of the lattice Boltzmann treatment of hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 218-228.
    • Handle: RePEc:eee:phsmap:v:194:y:1993:i:1:p:218-228
    DOI: 10.1016/0378-4371(93)90356-9
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    References listed on IDEAS

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    1. Alain Rivet, 1987. "Le nouveau régime d'imposition des bénéfices: les entreprises en difficultés," Post-Print hal-00960438, HAL.
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    Cited by:

    1. Reyes Barraza, J.A. & Deiterding, R., 2022. "A curvilinear lattice Boltzmann scheme for thermal flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 405-420.

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