TY - JOUR
T1 - Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations
AU - Zhang , Wenhuan
AU - Kuang , Shibo
AU - Chai , Zhenhua
AU - Shi , Baochang
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 1037
EP - 1062
PY - 2025
DA - 2025/05
SN - 17
DO - http://doi.org/10.4208/aamm.OA-2023-0078
UR - https://global-sci.org/intro/article_detail/aamm/24053.html
KW - Lattice Boltzmann method, multiple relaxation time, incompressible Navier-Stokes equations, compressibility error.
AB - <p style="text-align: justify;">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.</p>