@Article{AAMM-8-1,
author = {Zhang, Chunze and Yongguang, Cheng and Shan, Huang and Wu, Jiayang},
title = {Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {1},
pages = {37--51},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m512},
url = {https://global-sci.com/article/73319/improving-the-stability-of-the-multiple-relaxation-time-lattice-boltzmann-method-by-a-viscosity-counteracting-approach}
}