A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme

DOI10.3934/DCDSS.2023072MaRDI QIDQ6662497

François Dubois, Filipa Caetano, Benjamin Graille

Publication date: 14 January 2025

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

relaxation methodhyperbolic equationlattice Boltzmann scheme

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P99)

Cites Work

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• Convergence of relaxation schemes for conservation laws
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• The Lattice Boltzmann Method
• Shock Structure in a Simple Discrete Velocity Gas
• Convergence of a relaxation scheme for hyperbolic systems of conservation laws

Related Items (1)

Preface. DCDS-S special issue on mesoscopic methods and their applications to CFD

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