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A reappraisal of Taylor–Galerkin algorithm for drying–wetting areas in shallow water computations
Author(s) -
Quecedo M.,
Pastor M.
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.225
Subject(s) - computation , galerkin method , wetting , shallow water equations , waves and shallow water , discontinuous galerkin method , taylor series , boundary (topology) , mathematics , eulerian path , boundary value problem , lagrangian , geology , algorithm , finite element method , mathematical analysis , engineering , structural engineering , oceanography , chemical engineering
Non‐linear shallow water equations are a useful approximation to phenomena such as estuary dynamics, tidal propagation, breaking of a dam, flood waves, etc. Quite frequently they involve propagation over dry beds and drying of wet zones, for which boundary changes. To solve this problem either special techniques such as remeshing and Arbitrary Lagrangian Eulerian formulations or algorithms initially developed for flows exhibiting shocks have been proposed in past years. The purpose of this paper is to show how classical finite elements formulations, such as Taylor–Galerkin can be applied to solve the problem to wetting–drying areas in a simple yet efficient manner. Copyright © 2002 John Wiley & Sons, Ltd.