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NUMERICAL SIMULATION OF SHALLOW WATER WAVE PROPAGATION USING A BOUNDARY ELEMENT WAVE EQUATION MODEL
Author(s) -
Benmansour N.,
Ouazar D.,
Wrobel L. C.
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(19970115)24:1<1::aid-fld470>3.0.co;2-1
Subject(s) - free surface , mathematics , wave equation , boundary element method , shallow water equations , waves and shallow water , mathematical analysis , finite element method , momentum (technical analysis) , boundary value problem , boundary (topology) , mechanics , physics , finance , economics , thermodynamics
The present paper makes use of a wave equation formulation of the primitive shallow water equations to simulate one‐dimensional free surface flow. A numerical formulation of the boundary element method is then developed to solve the wave continuity equation using a time‐dependent fundamental solution, while an explicit finite difference scheme is used to derive velocities from the primitive momentum equation. One‐dimensional free surface flows in open channels are treated and the results compared with analytical and numerical solutions. © 1997 John Wiley & Sons, Ltd.