Well-Balanced Time Implicit Formulation of Relaxation Schemes for the Euler Equations

DOI10.1137/070683040zbMath1173.35322OpenAlexW2070906490MaRDI QIDQ3614826

Frédéric Coquel, Claude Marmignon, Christophe Chalons

Publication date: 10 March 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070683040

zbMATH Keywords

well-balanced schemesrelaxation methodstime implicit schemes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35)

Related Items (11)

A 5-wave relaxation solver for the shallow water MHD system ⋮ A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations ⋮ An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows ⋮ An all-speed relaxation scheme for gases and compressible materials ⋮ Unnamed Item ⋮ A rotated lattice Boltzmann flux solver with improved stability for the simulation of compressible flows with intense shock waves at high Mach number ⋮ Nonconservative hyperbolic systems in fluid mechanics ⋮ Modelling and entropy satisfying relaxation scheme for the nonconservative bitemperature Euler system with transverse magnetic field ⋮ Well-balanced schemes to capture non-explicit steady states: Ripa model ⋮ A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension ⋮ A Relaxation Scheme for the Simulation of Low Mach Number Flows

This page was built for publication: Well-Balanced Time Implicit Formulation of Relaxation Schemes for the Euler Equations