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

Chang Guo; Weifeng Zhao; Ping Lin

doi:10.1016/j.aml.2020.106304

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)

Mathematics

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3 Citations (Scopus)

127 Downloads (Pure)

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 language	English
Article number	106304
Pages (from-to)	1-7
Number of pages	7
Journal	Applied Mathematics Letters
Volume	105
Early online date	27 Feb 2020
DOIs	https://doi.org/10.1016/j.aml.2020.106304
Publication status	Published - Jul 2020

Keywords

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

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2020.106304

Author Accepted ManuscriptAccepted author manuscript, 147 KBLicence: CC BY-NC-ND

Cite this

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title = "On the collision matrix of the lattice Boltzmann method for anisotropic convection–diffusion equations",

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.",

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

author = "Chang Guo and Weifeng Zhao and Ping Lin",

note = "This work was supported by the National Natural Science Foundation of China (Nos. 11771040, 11801030and 11861131004)",

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AU - Guo, Chang

AU - Zhao, Weifeng

AU - Lin, Ping

N1 - This work was supported by the National Natural Science Foundation of China (Nos. 11771040, 11801030and 11861131004)

PY - 2020/7

Y1 - 2020/7

N2 - 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.

AB - 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.

KW - Anisotropic convection–diffusion equations

KW - Collision matrix

KW - Half-way anti-bounce-back scheme

KW - Lattice Boltzmann method

KW - Second-order accuracy

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106304

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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