A non-homogeneous Riemann solver for shallow water and two-phase flows

DOI10.1007/s10494-006-9027-5zbMath1108.76043OpenAlexW2054476046MaRDI QIDQ865116

Laure Quivy, Fayssal Benkhaldoun

Publication date: 13 February 2007

Published in: Flow, Turbulence and Combustion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10494-006-9027-5

zbMATH Keywords

limiterdiffusion control parametertwo-step finite volume scheme

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12)

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Cites Work

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• Approximate Riemann solvers, parameter vectors, and difference schemes
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• On the numerical solution to two-fluid models via a cell-centered finite volume method
• A well-balanced positivity preserving ``second-order scheme for shallow water flows on unstructured meshes
• Some approximate Godunov schemes to compute shallow-water equations with topography.
• Efficient numerical approximation of compressible multi-material flow for unstructured meshes.
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• Exact solutions to the Riemann problem of the shallow water equations with a bottom step

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