On rotational invariance of lattice Boltzmann schemesReport as inadecuate

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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay 2 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés 3 CSRC - Beijing Computational Science Research Center Beijing

Abstract : We propose the derivation of acoustic-type isotropic partial differential equations that are equivalent to linear lattice Boltzmann schemes with a density scalar field and a momentum vector field as conserved moments. The corresponding linear equivalent partial differential equations are generated with a new -Berliner version- of the Taylor expansion method. The details of the implementation are presented. These ideas are applied for the D2Q9, D2Q13, D3Q19 and D3Q27 lattice Boltzmann schemes. Some limitations associated with necessary stability conditions are also presented.

Keywords : Acoustics Taylor expansion method linearized Navier-Stokes isotropy

Author: Adeline Augier - François Dubois - Benjamin Graille - Pierre Lallemand -

Source: https://hal.archives-ouvertes.fr/


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