High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations

DOI10.5802/smai-jcm.83OpenAlexW3164217860MaRDI QIDQ2097595

Benjamin Graille, Marc Massot, Thomas Bellotti, Loïc Gouarin

Publication date: 14 November 2022

Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13816

zbMATH Keywords

multiresolution analysisadaptive mesh refinementlattice Boltzmann methodequivalent equations

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Hyperbolic conservation laws (35L65) Numerical methods for wavelets (65T60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Boltzmann equations (35Q20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (1)

Truncation errors and modified equations for the lattice Boltzmann methodviathe corresponding Finite Difference schemes

Cites Work

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