Abstract
The present work investigates the accuracy of the Multiple-relaxation-time Lattice Boltzmann Method (MRT LBM) in the simulation of flows with circulation. The flow in a 2Dlid-driven cavity is simulated using MRT LBM for a wide range of Reynolds numbers (100-1000) to assess its accuracy. The lid-driven cavity flow is selected because it is the standard benchmark problem for the testing of numerical methods. The calculated locations of the primary vortex center in addition to those of the two side vortices (lower-left and lower-right) are compared to the previously published results using different numerical techniques such as finite difference, finite element and single-relaxation-time LBM. The horizontal and vertical velocity profiles are also calculated. The results show that the MRT LBM has a superior accuracy compared to other numerical techniques especially for circulating flows.
Highlights
Computational fluid dynamics (CFD) numerical techniques has changed and varied dramatically in the past few years [1]
The main goal of the present work is to assess the accuracy of the MR TLBM in modeling circulating flow
The MRT Lattice Boltzmann Method (LBM) is used in the simulation of steady viscous incompressible flow in a 2D lid-driven cavity at a range of Reynolds number between 100 and 1000
Summary
Computational fluid dynamics (CFD) numerical techniques has changed and varied dramatically in the past few years [1]. The reason for this is the diversity in the applications of the CFD [2,3,4,5,6]. Continuum based CFD approaches like finite difference, finite volume and finite element relay on the solution of continuum governing equations (i.e. macro scale), other emerging techniques are looking at the same problems from a different scale These can range from the micro-scale based methods like molecular dynamics to macro-scale ones like finite volume. The tworelaxation-time (TRT) LBM and multiple-relaxation-time (MRT) LBM were invented to overcome the shortcomings of the standard single-relaxation-time (SRT) LBM [16,17,18,19]
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