An efficient numerical scheme for the Euler equations

zbMath0798.76049MaRDI QIDQ1323612

P. Glaister

Publication date: 13 November 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

flux difference splittingideal gasupwind differencingshock tubecharacteristic decompositionflux limiterblast wavearithmetic averaginglinearised Riemann problem

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

An analysis of arithmetic averaging in approximate Riemann solvers with an application to steady, supercritical flows ⋮ An efficient shock capturing scheme for the pseudo-unsteady equations representing steady inviscid flow ⋮ An efficient numerical method for compressible flows of a real gas using arithmetic averaging ⋮ An analysis of arithmetic averaging in a Riemann solver for the one- dimensional Euler equations ⋮ A relaxation model for numerical approximations of the multidimensional pressureless gas dynamics system

Cites Work

• The numerical simulation of two-dimensional fluid flow with strong shocks
• An approximate linearised Riemann solver for the Euler equations for real gases
• Approximate Riemann solvers, parameter vectors, and difference schemes
• An efficient Riemann solver for unsteady flows with non-ideal gases
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• An efficient numerical scheme for the two-dimensional shallow water equations using arithmetic averaging
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws

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