Convergence of a characteristic-Galerkin scheme for a shallow water problem

Flori, Fabien; Giacomoni, Catherine; Orenga, Pierre

doi:10.1016/j.mcm.2004.07.016

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Cited by 4 publications

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“…The shallow water equations are based on a depth integration of an incompressible fluid conservation laws in a free surface-three dimensional domain. Governing equations for u and h can be obtained in the usual way ( [1] for example) and the two-dimensional system can be written as follows [8,7,9]:…”

Section: Mathematical Modelmentioning

confidence: 99%

Simulation of the spread of a viscous fluid using a bidimensional shallow water model

Martino¹,

Giacomoni²,

Paoli³

et al. 2011

Applied Mathematical Modelling

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In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are interested in a flooding and drying model, used to modelize the overflow of a river or the intrusion of a tsunami on ground. We use a non conservative form of the two-dimensional shallow water equations, in eight velocity formulation and we build a numerical approximation, based on the Arbitrary Lagrangian Eulerian formulation, in order to compute the solution in the moving domain.

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