Schémas de type Godunov entropiques et positifs préservant les discontinuités de contact

DOI10.1016/S0764-4442(00)01601-3zbMath0960.65089MaRDI QIDQ4509370

Gérard Gallice

Publication date: 15 October 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite difference methodmagnetohydrodynamic equationssystems of conservation lawsGodunov-type schemesgas dynamicentropic and positive schemes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Development of numerical methods to simulate the melting of a thermal protection system ⋮ Entropy stable and positivity preserving Godunov-type schemes for multidimensional hyperbolic systems on unstructured grid ⋮ A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows ⋮ An asymptotic preserving scheme for the shallow‐water equations with Manning friction using viscous correction of the HLL scheme ⋮ Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics ⋮ Positivity preserving and entropy consistent approximate Riemann solvers dedicated to the high-order MOOD-based finite volume discretization of Lagrangian and Eulerian gas dynamics ⋮ Entropic Godunov-type schemes for hyperbolic systems with source term

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