Convergence of Convective–Diffusive Lattice Boltzmann Methods

DOI10.1137/0732062zbMath0845.35018arXivcomp-gas/9305002OpenAlexW2090155652MaRDI QIDQ4857616

Bracy H. Elton, Garry H. Rodrigue, C. David Levermore

Publication date: 29 November 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/comp-gas/9305002

zbMATH Keywords

convective-diffusive lattice Boltzmann methodsmonotone lattice Boltzmann methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items

A LIMITER BASED ON KINETIC THEORY, A multilevel finite difference scheme for one-dimensional Burgers equation derived from the lattice Boltzmann method, Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains, Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations, Convergence of lattice Boltzmann methods for Navier-Stokes flows in periodic and bounded domains, Kinetic derivation of a finite difference scheme for the incompressible Navier-Stokes equations