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Volume 26, Issue 4
An MRT Extension to the Multigrid Lattice Boltzmann Method

Charles Armstrong & Yan Peng

DOI: 10.4208/cicp.OA-2018-0166

Commun. Comput. Phys., 26 (2019), pp. 1178-1195.

Published online: 2019-07

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  • 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.

  • Keywords

Lattice Boltzmann method, multiple relaxation time, multigrid, full approximation storage multigrid.

  • AMS Subject Headings

76M25, 76D99

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

carms015@odu.edu (Charles Armstrong)

ypeng@odu.edu (Yan Peng)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-26-1178, author = {Armstrong , Charles and Peng , Yan}, title = {An MRT Extension to the Multigrid Lattice Boltzmann Method}, journal = {Communications in Computational Physics}, year = {2019}, volume = {26}, number = {4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0166}, url = {http://global-sci.org/intro/article_detail/cicp/13233.html} }
TY - JOUR T1 - An MRT Extension to the Multigrid Lattice Boltzmann Method AU - Armstrong , Charles AU - Peng , Yan JO - Communications in Computational Physics VL - 4 SP - 1178 EP - 1195 PY - 2019 DA - 2019/07 SN - 26 DO - http://doi.org/10.4208/cicp.OA-2018-0166 UR - https://global-sci.org/intro/article_detail/cicp/13233.html KW - Lattice Boltzmann method, multiple relaxation time, multigrid, full approximation storage multigrid. AB -

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.

Armstrong , Charles and Peng , Yan. (2019). An MRT Extension to the Multigrid Lattice Boltzmann Method. Communications in Computational Physics. 26 (4). 1178-1195. doi:10.4208/cicp.OA-2018-0166
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