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Finite Element Approximation of a Quasi-3D Model for Estuarian River Flows

Mohamed Amara (), Agnès Pétrau () and David Trujillo ()
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Mohamed Amara: IPRA, Université de Pau et des Pays de l’Adour, Laboratoire de Mathématiques Appliquées & CNRS UMR 5142
Agnès Pétrau: IPRA, Université de Pau et des Pays de l’Adour, Laboratoire de Mathématiques Appliquées & CNRS UMR 5142
David Trujillo: IPRA, Université de Pau et des Pays de l’Adour, Laboratoire de Mathématiques Appliquées & CNRS UMR 5142

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 87-95 from Springer

Abstract: Abstract We present here the main ideas and results concerning the derivation of a new quasi-3D hydrodynamical model, also called 2.5D model, within the framework of nonlinear weak formulations. The idea is to work in the sum of spaces concerning 2D models, one in the horizontal plane, the other in the vertical one. The new model takes into account the river’s geometry and provides a three-dimensional velocity and pressure. We present the finite element approximation of the model and some numerical results.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_8

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DOI: 10.1007/978-3-642-11795-4_8

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