Relation between PVM schemes and simple Riemann solvers

DOI10.1002/num.21871zbMath1297.65102OpenAlexW1869625684MaRDI QIDQ2875718

T. Morales de Luna, Manuel Jesús Castro-Díaz, C. Parés-Madroñal

Publication date: 11 August 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21871

zbMATH Keywords

numerical exampleshyperbolic systemsfinite volume schemesshallow water equationsapproximate Riemann solverspolynomial viscosity matrix methods

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Uses Software

• HLLE
• GFORCE
• PVM

Cites Work

• Unnamed Item
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• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• NUMERICAL TREATMENT OF WET/DRY FRONTS IN SHALLOW FLOWS WITH A MODIFIED ROE SCHEME

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