Riemann Solvers for some Hyperbolic Problems with a Source Term

DOI10.1051/PROC:1999047zbMath0926.76065OpenAlexW2093480880MaRDI QIDQ4256604

Alain-Yves Le Roux

Publication date: 26 July 1999

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc:1999047

zbMATH Keywords

numerical stabilitysplitting techniqueCFL conditionGodunov schemeproblems in environmental sciencewell-balanced solvers

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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The Riemann solutions to the compressible ideal fluid flow ⋮ Weak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbation ⋮ A Well-Balanced Scheme for Euler Equations with Singular Sources ⋮ The VOLNA code for the numerical modeling of tsunami waves: generation, propagation and inundation ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws ⋮ Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy ⋮ Riemann problem for the pressureless cargo-leroux model by flux perturbation ⋮ Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model ⋮ The Riemann problem for the one-dimensional compressible flow of a van der Waals gas ⋮ The interaction of rarefaction waves for a system of granular flow equations ⋮ Delta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gas ⋮ Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas

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