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The Waves Generated by a Moving Oscillatory Surface Pressure on a Sloping Beach
Author(s) -
Pramanik A. K.
Publication year - 1973
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19730530905
Subject(s) - mathematical analysis , mathematics , surface (topology) , fourier transform , displacement (psychology) , transformation (genetics) , amplitude , representation (politics) , steady state (chemistry) , mechanics , geometry , physics , optics , chemistry , psychology , psychotherapist , biochemistry , politics , political science , law , gene
The two‐dimensional initial‐value problem of water waves generated on a sloping beach by a moving oscillatory surface pressure is solved. Integral representation of the surface displacement is obtained with the help of a generalized Fourier transformation, which is evaluated asymptotically for large values of time and distance. It is found that in the ultimate steady state there exists two or four waves depending upon whether a critical ratio is greater or less than unity, while it remains singular when the critical ratio is equal to unity.