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A boundary‐type finite element model for water surface wave problems
Author(s) -
Kashiyama Kazuo,
Kawahara Mutsuto
Publication year - 1988
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.1650080106
Subject(s) - mathematics , finite element method , mathematical analysis , discretization , boundary value problem , boundary element method , wave equation , method of fundamental solutions , interpolation (computer graphics) , boundary knot method , boundary (topology) , geometry , physics , classical mechanics , motion (physics) , thermodynamics
A new combinative method of boundary‐type finite elements and boundary solutions is presented to study wave diffraction‐refraction and harbour oscillation problems. The numerical model is based on the mild‐slope equation. The key feature of this method is that the discretized matrix equation can be formulated only by the calculation of a line integral, since the interpolation equation which satisfies the governing equation in each element is used. The numerical solutions are compared with existing analytical, experimental, observed and other numerical results. The present method is shown to be an effective and accurate method for water surface wave problems.