Stable Second Order Boundary Conditions for Kinetic Approximations

DOI10.1007/978-3-031-40860-1_17MaRDI QIDQ6191838

Philippe Helluy, Romane Hélie

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsentropy stabilitylattice Boltzmann

Mathematics Subject Classification ID

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) Weak solutions to PDEs (35D30) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Transport equations (35Q49)

Cites Work

• An interpretation and derivation of the lattice Boltzmann method using strang splitting
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• Kinetic approximation of a boundary value problem for conservation laws
• A robust and efficient solver based on kinetic schemes for magnetohydrodynamics (MHD) equations
• Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws

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