Hydrodynamic instabilities in well-balanced finite volume schemes for frictional shallow water equations. The kinematic wave case

DOI10.1007/S10915-010-9444-4zbMath1359.76042DBLPjournals/jscic/BohorquezR11OpenAlexW2144163267WikidataQ57590228 ScholiaQ57590228MaRDI QIDQ554651

Patricio Bohorquez, Martin Rentschler

Publication date: 4 August 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9444-4

zbMATH Keywords

WENO schemesroll wavescompact filterkinematic waveone layer shallow water

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hydrodynamic stability (76E99) Free-surface potential flows for incompressible inviscid fluids (76B07) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (2)

A new run-up algorithm based on local high-order analytic expansions ⋮ On the stability of gradually varying mud-flows in open channels

Uses Software

• WENOCLAW

Cites Work

• Unnamed Item
• High-order compact filters with variable cut-off wavenumber and stable boundary treatment
• Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows
• High order strong stability preserving time discretizations
• Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations
• Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
• High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
• Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows
• On roll waves down an open inclined channel
• Competition between kinematic and dynamic waves in floods on steep slopes
• High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
• On kinematic waves I. Flood movement in long rivers

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