A comparison of the different extensions of a weak formulation of an approximate Riemann solver for supercritical flows and their relationship to existing schemes

DOI10.1016/0898-1221(95)00055-4zbMath0835.76059OpenAlexW2060159271MaRDI QIDQ1903750

P. Glaister

Publication date: 15 April 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00055-4

zbMATH Keywords

shallow water flowsRoe linearised Riemann solver

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

A weak formulation of Roe's scheme for two-dimensional, unsteady, compressible flows and steady, supersonic flows ⋮ The relationship between the direct and weak formulations of a linearised Riemann solver for systems of conservation laws

Cites Work

• Approximate Riemann solvers, parameter vectors, and difference schemes
• A weak formulation of Roe's approximate Riemann solver
• A finite difference scheme for steady, supersonic, two-dimensional, compressible flow of real gases
• An extension of Toumi's method and its application to the two- dimensional, unsteady, shallow water equations

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