On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations

摘要

In this work, we are concerned with the lattice Boltzmann method for anisotropic convection-diffusion equations (CDEs). We prove that the collision matrices of many widely used lattice Boltzmann models for such equations admit an elegant property, which guarantees the second-order accuracy of the half-way anti-bounce-back scheme. Numerical experiments validated our results for both two- and three-dimensional anisotropic CDEs. (C) 2020 Elsevier Ltd. All rights reserved.