STABILITY AND ACCURACY OF LATTICE BOLTZMANN SCHEMES FOR ANISOTROPIC ADVECTION-DIFFUSION EQUATIONS

DOI10.1142/S0129183109013856zbMath1172.82317OpenAlexW2064590302MaRDI QIDQ3636409

Shinsuke Suga

Publication date: 30 June 2009

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183109013856

zbMATH Keywords

lattice Boltzmann methodaccuracy of the schemestability of the numerical schemeanisotropic advection-diffusion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Diffusion (76R50) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Finite difference methods for boundary value problems involving PDEs (65N06) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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Cites Work

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• Fully-Lagrangian and lattice-Boltzmann methods for solving systems of conservation equations
• Convection-diffusion lattice Boltzmann scheme for irregular lattices
• Stability analysis of lattice Boltzmann methods
• A lattice Boltzmann equation for diffusion
• NUMERICAL SCHEMES OBTAINED FROM LATTICE BOLTZMANN EQUATIONS FOR ADVECTION DIFFUSION EQUATIONS
• Lattice BGK Models for Navier-Stokes Equation
• Matrix Analysis

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