Stability and multiscale analysis of an advective lattice Boltzmann scheme

DOI10.1504/PCFD.2008.018079zbMath1138.76054OpenAlexW2124184558MaRDI QIDQ929230

Martin Rheinländer

Publication date: 16 June 2008

Published in: Progress in Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/pcfd.2008.018079

zbMATH Keywords

spectrumCFL conditionmultiscale expansion

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffusion and convection (76R99)

Related Items (8)

Optimal stability of advection-diffusion lattice Boltzmann models with two relaxation times for positive/negative equilibrium ⋮ Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation ⋮ The role of the kinetic parameter in the stability of two-relaxation-time advection-diffusion lattice Boltzmann schemes ⋮ On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations ⋮ Comparison of analysis techniques for the lattice Boltzmann method ⋮ On the stability structure for lattice Boltzmann schemes ⋮ Linear Bhatnagar-Gross-Krook equations for simulation of linear diffusion equation by lattice Boltzmann method ⋮ Truncation effect on Taylor-Aris dispersion in lattice Boltzmann schemes: accuracy towards stability

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