Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation

DOI10.1007/s10915-009-9311-3zbMath1203.65130OpenAlexW2067908202WikidataQ57964642 ScholiaQ57964642MaRDI QIDQ618522

T. Morales de Luna, François Bouchut

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9311-3

zbMATH Keywords

conservation lawsRiemann solversentropy satisfying schemesSuliciu solver

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) Theoretical approximation in context of PDEs (35A35)

Related Items

High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws, An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows, A new comment on the computation of non-conservative products using Roe-type path conservative schemes, Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics, All-speed numerical methods for the Euler equations via a sequential explicit time integration, Positivity preserving and entropy consistent approximate Riemann solvers dedicated to the high-order MOOD-based finite volume discretization of Lagrangian and Eulerian gas dynamics, Modified Suliciu relaxation system and exact resolution of isolated shock waves, Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations, Relation between PVM schemes and simple Riemann solvers

Uses Software

• HE-E1GODF
• GFORCE

Cites Work

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