Comparisons of Lattice Boltzmann and Finite Difference Methods for a Two-Dimensional Viscous Burgers Equation

DOI10.1137/0917052zbMath0924.65082OpenAlexW2015705801MaRDI QIDQ4891733

Bracy H. Elton

Publication date: 13 September 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0917052

zbMATH Keywords

performancestabilityconvergencenumerical resultsconsistencyfinite difference methodnonlinear convection-diffusion equationviscous Burgers equationconservations lawslattice Boltzmann methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) 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) Complexity and performance of numerical algorithms (65Y20)

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