TY - JOUR
T1 - Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach
AU - Zhang , Chunze
AU - Cheng , Yongguang
AU - Huang , Shan
AU - Wu , Jiayang
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 37
EP - 51
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m512
UR - https://global-sci.org/intro/article_detail/aamm/12075.html
KW - 
AB - <p style="text-align: justify;">Numerical instability may occur when simulating high Reynolds number
flows by the lattice Boltzmann method (LBM). The multiple-relaxation-time (MRT)
model of the LBM can improve the accuracy and stability, but is still subject to numerical
instability when simulating flows with large single-grid Reynolds number
(Reynolds number/grid number). The viscosity counteracting approach proposed recently
is a method of enhancing the stability of the LBM. However, its effectiveness
was only verified in the single-relaxation-time model of the LBM (SRT-LBM). This paper
aims to propose the viscosity counteracting approach for the multiple-relaxation-time
model (MRT-LBM) and analyze its numerical characteristics. The verification is
conducted by simulating some benchmark cases: the two-dimensional (2D) lid-driven
cavity flow, Poiseuille flow, Taylor-Green vortex flow and Couette flow, and three-dimensional
(3D) rectangular jet. Qualitative and Quantitative comparisons show that
the viscosity counteracting approach for the MRT-LBM has better accuracy and stability
than that for the SRT-LBM.</p>