Wave induced oscillations in harbors of arbitrary shape

Lee, Jiin-Jen (1969) Wave induced oscillations in harbors of arbitrary shape. Technical Report. California Institute of Technology.

Full text available as:

PDF - Requires Adobe Acrobat Reader or other PDF viewer.

Abstract

Theoretical and experimental studies were conducted to investigate the wave induced oscillations in an arbitrary shaped harbor with constant depth which is connected to the open-sea. A theory termed the "arbitrary shaped harbor" theory is developed. The solution of the Helmholtz equation, v^2f + k^af = 0, is formulated as an integral equation; an approximate method is employed to solve the integral equation by converting it to a matrix equation. The final solution is obtained by equating, at the harbor entrance, the wave amplitude and its normal derivative obtained from the solutions for the regions outside and inside the harbor. Two special theories called the circular harbor theory and the rectangular harbor theory are also developed. The coordinates inside a circular and a rectangular harbor are separable: therefore, the solution for the region inside these harbors is obtained by the method of separation of variables. For the solution in the open-sea region, the same method is used as that employed for the arbitrary shaped harbor theory. The find solution is also obtained by a matching procedure similar to that used for the arbitrary shaped harbor theory. These two special theories provide a useful analytical check on the arbitrary shaped harbor theory.

EPrint Type:	Monograph (Technical Report)
Subjects:	All Records
ID Code:	13
Deposited By:	George Porter
Deposited On:	30 April 2004
Record Number:	CaltechKHR:KH-R-20
Official Persistent URL:	http://resolver.caltech.edu/CaltechKHR:KH-R-20
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

Archive Staff Only: edit this record