An iDdQ(q-1) Multiple-relaxation-time Lattice Boltzmann Model with External Force

doi:10.19596/j.cnki.1001-246x.8138

Abstract

Abstract: An iDdQ(q-1) MRT LB model with external force term is proposed with multi-scale expansion and inverse design method. It recovers to incompressible Navier-Stokes equation with external force term under low Mach number assumption. With simulations of Poiseuille flow, pulsatile flow in a three-dimensional square channel, and two-dimensional Taylor vortex flow in a square box, it is found that numerical results are in good agreement with analytical solutions. In addition, spatial accuracy of the model reaches second order, which verifies effectiveness of the model in simulating steady and unsteady incompressible flows driven by external forces.

Key words: 3-dimensional 14-velocity model with external force, inverse design, Poiseuille flow, pulsatile flow in a square channel, 2-dimensional Taylor vortex flow

CLC Number:

O357.1

ZHU Qiaoli, ZHANG Wenhuan. An iDdQ(q-1) Multiple-relaxation-time Lattice Boltzmann Model with External Force[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(5): 551-561.

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