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

DOI10.1016/J.AML.2020.106304zbMath1433.76123OpenAlexW3008897497MaRDI QIDQ1985398

Chang Guo, Weifeng Zhao, Ping Lin

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106304

zbMATH Keywords

lattice Boltzmann methodsecond-order accuracyanisotropic convection-diffusion equationscollision matrixhalf-way anti-bounce-back scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Particle methods and lattice-gas methods (76M28)

Related Items (1)

A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection-diffusion equations

Cites Work

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• A multi-relaxation lattice kinetic method for passive scalar diffusion
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• General propagation lattice Boltzmann model for variable-coefficient non-isospectral KdV equation
• Lattice Boltzmann method for general convection-diffusion equations: MRT model and boundary schemes
• A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation
• Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
• Boundary Conditions for Kinetic Theory Based Models I: Lattice Boltzmann Models

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