An extension of Toumi's method and its application to the two- dimensional, unsteady, shallow water equations

DOI10.1016/0895-7177(94)00217-CzbMath0820.76057OpenAlexW2089355253WikidataQ127472415 ScholiaQ127472415MaRDI QIDQ1804230

P. Glaister

Publication date: 1 May 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)00217-c

zbMATH Keywords

weak formulationEuler equationsRoe's approximate Riemann solvernonconservative productgeneralized Roe-averaged matrix

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

A weak formulation of Roe's scheme for two-dimensional, unsteady, compressible flows and steady, supersonic flows ⋮ A comparison of the different extensions of a weak formulation of an approximate Riemann solver for supercritical flows and their relationship to existing schemes ⋮ The relationship between the direct and weak formulations of a linearised Riemann solver for systems of conservation laws

Cites Work

• Approximate Riemann solutions of the two-dimensional shallow-water equations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• A weak formulation of Roe's approximate Riemann solver

This page was built for publication: An extension of Toumi's method and its application to the two- dimensional, unsteady, shallow water equations