Premium
Boundary element method for long‐time water wave propagation over rapidly varying bottom topography
Author(s) -
Nachbin A.,
Papanicolaou G. C.
Publication year - 1992
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.1650141106
Subject(s) - boundary element method , boundary (topology) , waves and shallow water , mechanics , geology , range (aeronautics) , shallow water equations , wave propagation , finite element method , tracking (education) , boundary value problem , free surface , geometry , mathematical analysis , mathematics , physics , optics , materials science , engineering , structural engineering , psychology , pedagogy , oceanography , composite material
Abstract We study numerically the linear water wave equations for shallow channels with rapidly varying bottom topography. We do not use the shallow water approximation because it is not valid when the bottom is rapidly varying. We use the boundary element method because it allows accurate tracking of the surface waves for long times. We present the results of a range of numerical validation experiments and a comparison between propagation over a periodic and a random rough bottom topography.