An entropy preserving relaxation scheme for ten-moments equations with source terms

DOI10.4310/CMS.2015.v13.n8.a7zbMath1329.76199OpenAlexW2235936257MaRDI QIDQ889116

Christophe Berthon, Bruno Dubroca, Afeintou Sangam

Publication date: 6 November 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2015.v13.n8.a7

zbMATH Keywords

source termshyperbolic systemdiscrete entropy inequalitiesdiscrete entropy minimum principleGodunov type schemesten-moments equations

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (10)

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations ⋮ Derivation and numerical approximation of two-temperature Euler plasma model ⋮ Entropy stable schemes for ten-moment Gaussian closure equations ⋮ Positivity-preserving high-order discontinuous Galerkin schemes for ten-moment Gaussian closure equations ⋮ Unnamed Item ⋮ 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 ⋮ Modelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field ⋮ Positivity-preserving finite difference WENO scheme for ten-moment equations with source term

Uses Software

• HLLE
• HE-E1GODF

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