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USE OF EIGENVALUE TECHNIQUE IN FINITE ELEMENT TIDAL COMPUTATIONS
Author(s) -
Patil B. M.,
Rao B. V.
Publication year - 1997
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/(sici)1097-0363(19970530)24:10<953::aid-fld525>3.0.co;2-f
Subject(s) - discretization , finite element method , computation , eigenvalues and eigenvectors , coefficient matrix , mathematics , matrix (chemical analysis) , shallow water equations , mathematical analysis , channel (broadcasting) , computer science , engineering , algorithm , structural engineering , physics , materials science , quantum mechanics , composite material , computer network
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. © 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids 24: 953–963, 1997.