Year: 2023
Author: François Dubois, Pierre Lallemand
Communications in Computational Physics, Vol. 34 (2023), Iss. 3 : pp. 613–671
Abstract
In this contribution we study the formal ability of a multi-resolution-times lattice Boltzmann scheme to approximate isothermal and thermal compressible Navier Stokes equations with a single particle distribution. More precisely, we consider a total of 12 classical square lattice Boltzmann schemes with prescribed sets of conserved and nonconserved moments. The question is to determine the algebraic expressions of the equilibrium functions for the nonconserved moments and the relaxation parameters associated to each scheme. We compare the fluid equations and the result of the Taylor expansion method at second order accuracy for bidimensional examples with a maximum of 17 velocities and three-dimensional schemes with at most 33 velocities. In some cases, it is not possible to fit exactly the physical model. For several examples, we adjust the Navier Stokes equations and propose nontrivial expressions for the equilibria.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0185
Communications in Computational Physics, Vol. 34 (2023), Iss. 3 : pp. 613–671
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 59
Keywords: Partial differential equations asymptotic analysis.
Author Details
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Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations
Boghosian, Bruce M.
Dubois, François
Lallemand, Pierre
Computers & Fluids, Vol. 284 (2024), Iss. P.106410
https://doi.org/10.1016/j.compfluid.2024.106410 [Citations: 0]