Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations

DOI10.1007/s00574-016-0126-1zbMath1375.76096OpenAlexW2333778539MaRDI QIDQ285324

S. Cornet, Christophe Berthon, Christophe Chalons, Gianmarco Sperone

Publication date: 19 May 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-016-0126-1

zbMATH Keywords

finite volume schemesshallow-water equationssteady statespositive preserving schemewell-balanced property

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A fully well-balanced scheme for the 1D blood flow equations with friction source term ⋮ A Fully Well-Balanced Lagrange--Projection-Type Scheme for the Shallow-Water Equations ⋮ A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms ⋮ A well-balanced scheme for the shallow-water equations with topography or Manning friction ⋮ A well-balanced scheme for the shallow-water equations with topography

Uses Software

• HLLE

Cites Work

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