Modified Suliciu relaxation system and exact resolution of isolated shock waves

DOI10.1142/S0218202513500723zbMath1353.35200OpenAlexW2013586463MaRDI QIDQ5411772

Frédéric Coquel, Christophe Chalons

Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513500723

zbMATH Keywords

Godunov-type methodapproximate Riemann solverLagrangian coordinatesGlimm-type methodSuliciu pressure relaxation approach

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35)

Related Items (8)

A 5-wave relaxation solver for the shallow water MHD system ⋮ 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 ⋮ Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws ⋮ Nonconservative hyperbolic systems in fluid mechanics ⋮ Modelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field ⋮ Relation between PVM schemes and simple Riemann solvers

Cites Work

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• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Glimm’s Method for Gas Dynamics
• A REDUCED STABILITY CONDITION FOR NONLINEAR RELAXATION TO CONSERVATION LAWS
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions

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