Hydrodynamic behavior of lattice Boltzmann and lattice Bhatnagar-Gross-Krook models

Phys. Rev. E 50, 4586 – Published 1 December 1994
O. Behrend, R. Harris, and P. B. Warren

Abstract

We present a numerical analysis of the ranges of validity of classical and generalized hydrodynamics for lattice Boltzmann and lattice Bhatnagar-Gross-Krook (BGK) methods in two and three dimensions, as a function of the collision parameters of these models. Our analysis is based on the wave-number dependence of the evolution operator. Good ranges of validity are found as long as the BGK relaxation time is chosen smaller than or equal to unity. The additional degree of freedom in a two parameter BGK model can give further improvements.

DOI: http://dx.doi.org/10.1103/PhysRevE.50.4586

  • Received 20 June 1994
  • Published in the issue dated December 1994

© 1994 The American Physical Society

Authors & Affiliations

O. Behrend and R. Harris

  • Department of Physics, The University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom

P. B. Warren

  • Unilever Research, Port Sunlight Laboratory, Quarry Road East, Bebington, Wirral L63 3JW, United Kingdom

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