A non-homogeneous Riemann solver for shallow water equations in porous media

DOI10.1080/00036811.2015.1067304zbMath1388.76164OpenAlexW2340886198MaRDI QIDQ2832330

Abdelhafid Moumna, Fayssal Benkhaldoun, Mohammed Seaid, Imad Elmahi

Publication date: 11 November 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/17023/1/17023.pdf

zbMATH Keywords

finite volume methodshallow water equationsporous mediaunstructured gridsRiemann solver

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

An augmented HLLEM ADER numerical model parallel on GPU for the porous shallow water equations ⋮ The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations ⋮ Application of an Unstructured Finite Volume Method to the Shallow Water Equations with Porosity for Urban Flood Modelling ⋮ Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

Cites Work

• A new finite volume method for flux-gradient and source-term balancing in shallow water equations
• 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
• Upwind methods for hyperbolic conservation laws with source terms
• A finite volume method for numerical simulation of shallow water models with porosity
• Positivity preserving finite volume Roe schemes for transport-diffusion equations
• Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes
• A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon
• Flux and source term discretization in two-dimensional shallow water models with porosity on unstructured grids
• Solution of the Sediment Transport Equations Using a Finite Volume Method Based on Sign Matrix

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