An MRT Extension to the Multigrid Lattice Boltzmann Method

An MRT Extension to the Multigrid Lattice Boltzmann Method

Year:    2019

Author:    Charles Armstrong, Yan Peng

Communications in Computational Physics, Vol. 26 (2019), Iss. 4 : pp. 1178–1195

Abstract

A full approximation storage multigrid method has been shown to improve the convergence properties of the D2Q9 BGK lattice Boltzmann method [14]. In this paper we extend the method to the multiple relaxation time collision model due to its improved stability. The new method is validated using Poiseuille flow. The method is then extended to three dimensions. The efficiency of the V-cycle and W-cycle multigrid schedules and the under-relaxed Jacobi and Gauss Seidel multigrid smoothers are reported for the two and three dimensional models for lid driven cavity flow.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2018-0166

Communications in Computational Physics, Vol. 26 (2019), Iss. 4 : pp. 1178–1195

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Lattice Boltzmann method multiple relaxation time multigrid full approximation storage multigrid.

Author Details

Charles Armstrong

Yan Peng