Does the multiresolution lattice Boltzmann method allow to deal with waves passing through mesh jumps?

DOI10.5802/crmath.319zbMath1492.65285arXiv2105.12609OpenAlexW3165871785MaRDI QIDQ2152518

Loïc Gouarin, Benjamin Graille, Marc Massot, Thomas Bellotti

Publication date: 8 July 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12609

zbMATH Keywords

lattice Boltzmann method

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (1)

Multiresolution-Based Mesh Adaptation and Error Control for Lattice Boltzmann Methods with Applications to Hyperbolic Conservation Laws

Cites Work

• Equivalent partial differential equations of a lattice Boltzmann scheme
• Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: a direct grid coupling approach
• Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods
• Comparison of Adaptive Multiresolution and Adaptive Mesh Refinement Applied to Simulations of the Compressible Euler Equations
• New Resolution Strategy for Multiscale Reaction Waves using Time Operator Splitting, Space Adaptive Multiresolution, and Dedicated High Order Implicit/Explicit Time Integrators
• A generic, mass conservative local grid refinement technique for lattice‐Boltzmann schemes

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