The relationship between the direct and weak formulations of a linearised Riemann solver for systems of conservation laws
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Publication:1912860
DOI10.1016/0898-1221(96)00018-1zbMath0847.76051OpenAlexW1990225459MaRDI QIDQ1912860
Publication date: 8 July 1996
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(96)00018-1
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)
Cites Work
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A weak formulation of Roe's approximate Riemann solver
- An efficient numerical scheme for the two-dimensional shallow water equations using arithmetic averaging
- An analysis of arithmetic averaging in approximate Riemann solvers with an application to steady, supercritical flows
- An extension of Toumi's method and its application to the two- dimensional, unsteady, shallow water equations
- A comparison of the different extensions of a weak formulation of an approximate Riemann solver for supercritical flows and their relationship to existing schemes
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