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Compatibility between finite volumes and finite elements using solutions of shallow water equations for substance transport

✍ Scribed by Leo Postma; Jean-Michel Hervouet

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 373 KB
Volume: 53
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1373

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✦ Synopsis

Abstract

This paper formulates a finite volume analogue of a finite element schematization of three‐dimensional shallow water equations. The resulting finite volume schematization, when applied to the continuity equation, exactly reproduces the set of matrix equations that is obtained by the application of the corresponding finite element schematization to the continuity equation. The procedure allows the consistent and mass conserving coupling of the finite element Telemac model for three‐dimensional flow with the finite volume Delft3D‐WAQ model for water quality. The work has been carried out as part of a joint development by LNHE and WL∣Delft Hydraulics to explore the mutual interaction of their software. Copyright © 2006 John Wiley & Sons, Ltd.

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