A central Rankine-Hugoniot solver for hyperbolic conservation laws

DOI10.1016/j.jcp.2008.10.002zbMath1158.65058OpenAlexW2014151022MaRDI QIDQ1000940

S. V. Raghurama Rao, S. Jaisankar

Publication date: 12 February 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.10.002

zbMATH Keywords

finite volume methodnumerical examplesshallow water equationsBurgers equationEuler equationshyperbolic conservation lawsgas dynamicsRankine-Hugoniot jump conditioncentral schemeexact capturing of shocks and contact discontinuitieslow numerical diffusion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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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Uses Software

• HE-E1GODF

Cites Work

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