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

Chang Guo, Weifeng Zhao (Lead / Corresponding author), Ping Lin (Lead / Corresponding author)

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Article number106304
Pages (from-to)1-7
Number of pages7
JournalApplied Mathematics Letters
Volume105
Early online date27 Feb 2020
DOIs
Publication statusE-pub ahead of print - 27 Feb 2020

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Keywords

  • Anisotropic convection–diffusion equations
  • Collision matrix
  • Half-way anti-bounce-back scheme
  • Lattice Boltzmann method
  • Second-order accuracy

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