A path conservative finite volume method for a shear shallow water model

DOI10.1016/j.jcp.2020.109457zbMath1436.76036arXiv1910.04975OpenAlexW3016910128MaRDI QIDQ776738

Asha Kumari Meena, Ashish Bhole, Praveen Chandrashekar, Boniface Nkonga

Publication date: 13 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04975

zbMATH Keywords

finite volume methodapproximate Riemann solvernonconservative systempath conservative schemeshear shallow water model

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

A new well-balanced finite-volume scheme on unstructured triangular grids for two-dimensional two-layer shallow water flows with wet-dry fronts ⋮ Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems ⋮ Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas ⋮ Entropy stable schemes for the shear shallow water model equations ⋮ Multi-Mesh-Scale Approximation of Thin Geophysical Mass Flows on Complex Topographies ⋮ On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows ⋮ A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows ⋮ Exact solution for Riemann problems of the shear shallow water model ⋮ On a class of robust bound-preserving MUSCL-hancock schemes

Uses Software

• HLLE

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