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Use of eigenvalue technique in finite element tidal computations

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Title Use of eigenvalue technique in finite element tidal computations
 
Creator PATIL, BM
RAO, BV
 
Subject coastal hydrodynamics
shallow water equations
finite element method
finite difference method
 
Description This paper presents the results of some studies on the development and application of a finite element method (FEM) with a closed-form solution technique for time discretization. The closed-form solution is based on the eigenvalues/vectors of a coefficient matrix. The method is first applied to the one-dimensional linearized shallow water equations and then extended to the two-dimensional shallow water equations. An attempt is made to improve its efficiency by incorporating time splitting and using the closed-form solution technique only for linear terms. Some case studies of a rectangular channel and harbour are presented to illustrate the satisfactory working of the method. (C) 1997 by , Ltd.
 
Publisher JOHN WILEY & SONS LTD
 
Date 2011-08-17T02:15:01Z
2011-12-26T12:55:16Z
2011-12-27T05:44:02Z
2011-08-17T02:15:01Z
2011-12-26T12:55:16Z
2011-12-27T05:44:02Z
1997
 
Type Article
 
Identifier INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 24(10), 953-963
0271-2091
http://dx.doi.org/10.1002/(SICI)1097-0363(19970530)24:10<953::AID-FLD525>3.0.CO;2-F
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9704
http://hdl.handle.net/10054/9704
 
Language en