Stability Structure for Lattice Boltzmann Equations: Some Computational Results | Zendy

Banda M.K. | Zendy; Yong W.A. | Zendy; Klar A. | Zendy

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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.

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