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A numerical model for the flooding and drying of irregular domains
Author(s) -
Brufau P.,
VázquezCendón M. E.,
GarcíaNavarro P.
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.285
Subject(s) - riemann solver , discretization , finite volume method , flow (mathematics) , shallow water equations , dam break , mechanics , mathematics , flooding (psychology) , solver , work (physics) , geometry , mathematical optimization , mathematical analysis , engineering , physics , mechanical engineering , psychology , philosophy , theology , psychotherapist , flood myth
A numerical technique for the modelling of shallow water flow in one and two dimensions is presented in this work along with the results obtained in different applications involving unsteady flows in complex geometries. A cell‐centred finite volume method based on Roe's approximate Riemann solver across the edges of both structured and unstructured cells is presented. The discretization of the bed slope source terms is done following an upwind approach. In some applications a problem arises when the flow propagates over adverse dry bed slopes, so a special procedure has been introduced to model the advancing front. It is shown that this modification reproduces exactly steady state of still water in configurations with strong variations in bed slope and contour. The applications presented are mainly related with unsteady flow problems. The scheme is capable of handling complex flow domains as will be shown in the simulations corresponding to the test cases that are going to be presented. Comparisons of experimental and numerical results are shown for some of the tests. Copyright © 2002 John Wiley & Sons, Ltd.