Staggered scheme for the Exner-shallow water equations

DOI10.1007/S10596-015-9533-4zbMath1391.76725OpenAlexW1901027673MaRDI QIDQ1640378

S. R. Pudjaprasetya, P. H. Gunawan, Robert Eymard

Publication date: 14 June 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-015-9533-4

zbMATH Keywords

shallow water equationstranscritical flowbedload sediment modelingerodible dam break

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Computational methods for problems pertaining to geophysics (86-08) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (6)

Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime ⋮ A robust hybrid unstaggered central and Godunov-type scheme for Saint-Venant-Exner equations with wet/dry fronts ⋮ A finite volume flux coordinate independent approach ⋮ A semi-implicit finite volume method for the Exner model of sediment transport ⋮ A numerical method for the solution of the nonlinear turbulent one-dimensional free surface flow equations ⋮ A semi-implicit approach for sediment transport models with gravitational effects

Uses Software

• HE-E1GODF

Cites Work

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• On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations
• Sediment transport modelling : Relaxation schemes for Saint-Venant – Exner and three layer models
• Explicit staggered schemes for the compressible euler equations
• Energy of tsunami waves generated by bottom motion
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• An accurate and efficient finite-difference algorithm for non-hydrostatic free-surface flow with application to wave propagation
• A staggered conservative scheme for every Froude number in rapidly varied shallow water flows
• Finite Volume Methods for Hyperbolic Problems
• Riemann wave description of erosional dam-break flows
• Momentum Conservative Schemes for Shallow Water Flows

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