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Boundary element calculation of shallow water waves
Author(s) -
Kaneko N.,
Utagawa N.,
Kawahara M.
Publication year - 1990
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.1650100707
Subject(s) - boundary element method , shallow water equations , waves and shallow water , mathematics , mathematical analysis , method of mean weighted residuals , reflection (computer programming) , boundary (topology) , boundary value problem , method of fundamental solutions , boundary knot method , diffraction , finite element method , numerical analysis , residual , geometry , geology , physics , computer science , structural engineering , engineering , optics , algorithm , oceanography , galerkin method , programming language
A boundary element method is proposed for studying periodic shallow water problems. The numerical model is based on the shallow water equation. The key feature of this method is that the boundary integral equations are derived using the weighted residual method and the fundamental solutions for shallow water wave problems are obtained by solving the simultaneous singular equations. The accuracy of this method is studied for the wave reflection problem in a rectangular tank. As a result of this test, it has been shown that the number of element divisions and the distribution of nodes are significant to the accuracy. For numerical examples of external problems, the wave diffraction problems due to single cylindrical, double cylindrical and plate obstructions are analysed and compared with the exact and other numerical solutions. Relatively accurate solutions are obtained.