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Interaction of a Plane Solitary Wave with a Rigid Vertical Cylinder
Author(s) -
Basmat A.,
Ziegler F.
Publication year - 1998
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/(sici)1521-4001(199808)78:8<535::aid-zamm535>3.0.co;2-b
Subject(s) - cylinder , diffraction , plane wave , plane (geometry) , physics , action (physics) , mechanics , surface wave , geometry , fourier series , optics , mathematical analysis , mathematics , quantum mechanics
The diffraction of a plane solitary wave by a rigid vertical circular cylinder and the resulting wave loading on the cylindrical surface are investigated. Based on the higher‐order Boussinesq equations, the second order approximation for the solitary wave equation is derived. The analytical solution is obtained by means of a Fourier transformation technique. Investigation of the wave action on the vertical cylinder is of importance in harbor — and offshore engineering and, in combination with the wave imaging technique, in the design of “cylindrical” arch‐dams with radial extending plane walls.