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

DOI10.1016/J.AML.2021.107536OpenAlexW3183532655MaRDI QIDQ2236721

Xinyuan Xie, Weifeng Zhao, Ping Lin

Publication date: 26 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107536

zbMATH Keywords

lattice Boltzmann methodRobin boundary conditionconvection-diffusion equationsboundary scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

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• Lattice model effects on the accuracy of the boundary condition implementations for the convection-diffusion lattice Boltzmann method
• On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations
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• Boundary conditions of the lattice Boltzmann method for convection-diffusion equations
• Second-order curved boundary treatments of the lattice Boltzmann method for convection-diffusion equations
• Multiple-relaxation-time lattice Boltzmann model for the convection and anisotropic diffusion equation
• Lattice Boltzmann Method and Its Applications in Engineering
• Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients
• Boundary Conditions for Kinetic Theory Based Models I: Lattice Boltzmann Models

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