Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow

DOI10.1016/j.jcp.2019.04.033zbMath1452.65185OpenAlexW2940997557MaRDI QIDQ2221422

Ashish Bhole, Kseniya Ivanova, Boniface Nkonga, Sergey L. Gavrilyuk

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.04.033

zbMATH Keywords

finite volume methodsunstructured gridsRiemann solversnonconservative hyperbolic systemshear shallow water flowsfamily of paths

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Initial-boundary value problems for first-order hyperbolic systems (35L50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers ⋮ 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 ⋮ Numerical modelling of turbulent geophysical flows using a hyperbolic shear shallow water model: application to powder snow avalanches ⋮ A path conservative finite volume method for a shear shallow water model ⋮ 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

Uses Software

• SharpClaw

Cites Work

• Unnamed Item
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• Exploring various flux vector splittings for the magnetohydrodynamic system
• A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow
• Godunov method for nonconservative hyperbolic systems
• High-Order Wave Propagation Algorithms for Hyperbolic Systems
• The classical hydraulic jump in a model of shear shallow-water flows
• Gas-dynamic analogy for vortex free-boundary flows

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