Publication

Hydrodynamic Instabilities in Well-Balanced Finite Volume Schemes for Frictional Shallow Water Equations. The Kinematic Wave Case

Martin Rentschler
2011
Journal Articles

Abstract

We report the developments of hydrodynamic instabilities in several well-balanced finite volume schemes that are observed during the computation of the temporal evolution of an out-balance flow which is essentially a kinematic wave. The numerical simulations are based on the one-dimensional shallow-water equations for a uniformly sloping bed with hydraulic resistance. Subsequently, we highlight the need of low dissipative high-order well-balanced filter schemes for non-equilibrium flows with variable cut-off wavenumber to compute the out-balance flow under consideration, i.e. the kinematic wave.

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https://infoscience.epfl.ch/entities/publication/97931620-f0b5-430a-9e8a-6006cfc67569

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Martin Rentschler
2011
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/97931620-f0b5-430a-9e8a-6006cfc67569

About this result

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