A Roe-type Riemann solver for hyperbolic systems with relaxation based on time-dependent wave decomposition

DOI10.1007/S002110050282zbMath0873.35047OpenAlexW2000662233MaRDI QIDQ1363209

François Bereux, Lionel Sainsaulieu

Publication date: 18 August 1997

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050282

zbMATH Keywords

Riemann problemfractional step methodspropagation of sound waves in a two-phase mediumrelaxation source terms

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Multiphase and multicomponent flows (76T99) First-order nonlinear hyperbolic equations (35L60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

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A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS ⋮ Selected Topics in Approximate Solutions of Nonlinear Conservation Laws. High-Resolution Central Schemes ⋮ A hyperbolic phase-transition model with non-instantaneous EoS-independent relaxation procedures ⋮ Method of relaxed streamline upwinding for hyperbolic conservation laws ⋮ On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms ⋮ Upwinding sources at interfaces in conservation laws. ⋮ A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms

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