Computational Analysis of Efficient Transient Multi-Relaxation-Time LBM for Bounded Domains

Abstract

The mesoscopic approach of MRT-LBM for solving various transient incompressible viscous fluid flow problems is studied. The multi-relaxation-time lattice Boltzmann method (MRT-LBM) is an alternative method and application to unsteady fluid flow problems is scarce. The MRT-LBM is used to solve three flow problems, namely, single lid-driven cavity flow, double lid-driven cavity with parallel wall motion and the double lid-driven cavity with antiparallel wall motion. The present MRT-LBM efficiently captures both steady and transient-state solutions of two-dimensional viscous fluid flow problems. Detailed results produced by the MRT-LBM scheme for all the three test cases are provided and compared with established numerical results. The close agreement of the results bears testimony to the validity of this approach. It is concluded that, the MRT-LBM scheme is likely to be very useful for the computation of transient viscous flows involving free shear layers. © 2023 American Institute of Physics Inc.. All rights reserved.