Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations
Year: 2025
Author: Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 4 : pp. 1037–1062
Abstract
This paper presents a three-dimensional thirteen-velocity (D3Q13) multiple-relaxation-time (MRT) lattice Boltzmann (LB) model for incompressible flows. The model can eliminate the second kind of compressibility error existing in previous D3Q13 MRT LB models. We simulate the three-dimensional steady Poiseuille flow, unsteady pulsatile flow, and lid-driven cavity flow to verify the validity of the current model. The excellent agreement between the numerical result and the analytical solution or the previous numerical result demonstrates the model’s effectiveness.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2023-0078
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 4 : pp. 1037–1062
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Lattice Boltzmann method multiple relaxation time incompressible Navier-Stokes equations compressibility error.