An asymptotic preserving relaxation scheme for a moment model of radiative transfer

DOI10.1016/J.CRMA.2007.02.004zbMath1114.65098OpenAlexW2061847091MaRDI QIDQ877992

Pierre Charrier, Christophe Berthon, Bruno Dubroca

Publication date: 4 May 2007

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.2007.02.004

zbMATH Keywords

stabilitynumerical examplesweak solutionsradiative transferrelaxation schemeasymptotic preserving propertyfirst order nonlinear system

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (7)

Approximate Riemann Solver for the ElectronicM₁Model Without Electric Field in the Diffusive Limit ⋮ Nonlinear flux-limited models for chemotaxis on networks ⋮ Long-time behavior of solutions to the \(M_1\) model with boundary effect ⋮ An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic M1 Model in the Diffusive Limit ⋮ An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions ⋮ Optimal decay rates of solutions to hyperbolic conservation laws with damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model

Cites Work

• Unnamed Item
• An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
• Asymptotic preserving scheme and numerical methods for radiative hydrodynamic models
• An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions
• Asymptotic preserving and positive schemes for radiation hydrodynamics
• Numerical approximations of the 10-moment Gaussian closure
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif

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