Numerical approximations of the 10-moment Gaussian closure

DOI10.1090/S0025-5718-06-01860-6zbMath1105.76036MaRDI QIDQ3420233

Christophe Berthon

Publication date: 1 February 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

relaxation schemehyperbolic system of conservation lawsdiscrete entropy inequalities

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15)

Related Items

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations, Numerical modeling of a self‐colliding plasma, Entropy stable schemes for ten-moment Gaussian closure equations, On the Five-Moment Maximum Entropy System of One-Dimensional Boltzmann Equation, Robustness of MUSCL schemes for 2D unstructured meshes, An asymptotic preserving relaxation scheme for a moment model of radiative transfer, Positivity-preserving high-order discontinuous Galerkin schemes for ten-moment Gaussian closure equations, Unnamed Item, Unnamed Item, A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws, Entropy stable schemes for the shear shallow water model equations, Robust numerical schemes for two-fluid ten-moment plasma flow equations, A well-balanced scheme for ten-moment Gaussian closure equations with source term, An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions, Entropy inequalities for a relaxation scheme, Why the MUSCL-Hancock scheme is \(\text{L}^{1}\)-stable, A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations, Well-balanced schemes to capture non-explicit steady states: Ripa model, Positivity-preserving finite difference WENO scheme for ten-moment equations with source term, Asymptotic preserving HLL schemes, A path conservative finite volume method for a shear shallow water model

Uses Software

• HLLE

Cites Work

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