Entropy inequalities for a relaxation scheme

DOI10.1016/j.crma.2004.10.008zbMath1061.65077OpenAlexW2052262218MaRDI QIDQ1763531

Christophe Berthon

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.crma.2004.10.008

zbMATH Keywords

singular perturbationfinite volume methodCauchy problemEuler equationsfinite differencesdiscrete entropy inequalitiesconsidering relaxation schemes

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Cites Work

• Unnamed Item
• On the thermodynamics of rate-type fluids and phase transitions. I: Rate-type fluids
• A minimum entropy principle in the gas dynamics equations
• Hyperbolic conservation laws with relaxation
• Entropy satisfying flux vector splittings and kinetic BGK models
• A relaxation method for two-phase flow models with hydrodynamic closure law
• Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes
• Numerical approximations of the 10-moment Gaussian closure
• The Gaussian Moment Closure for Gas Dynamics
• Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions

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