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Stability Structure for Lattice Boltzmann Equations: Some Computational Results
Author(s) -
Banda M.K.,
Yong W.A.,
Klar A.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310319
Subject(s) - galilean invariance , isotropy , lattice boltzmann methods , galilean , compressibility , hpp model , boltzmann constant , stability (learning theory) , boltzmann equation , statistical physics , mathematics , lattice (music) , classical mechanics , physics , mathematical analysis , mechanics , computer science , thermodynamics , quantum mechanics , machine learning , reynolds number , acoustics , turbulence
The Lattice Boltzmann equations are usually constructed to satisfy physical requirements like Galilean invariance and isotropy as well as to possess a velocity‐independent pressure, no compressible effects, just to mention a few. In this paper, a stability criterion for such constructions is introduced and is used to derive a new relation of the parameters in a parametrized 2‐dimensional 9‐velocity model.