Wave induced oscillations in harbors of arbitrary shape
Creators: name: Lee, Jiin-Jen
Publisher: name: California Institute of Technology
Year: 1969

description: 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, ∇^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.
description: © 1969 W. M. Keck Laboratory of Hydraulics and Water Resources. California Institute of Technology. 

The writer wishes to express his deepest gratitude to his thesis advisor, Professor Fredric Raichlen, who suggested this research problem and offered the most valuable guidance and encouragement throughout every phase of this investigation. The advice and encouragement oi Professors Vito A. Vanoni and Norman H. Brooks are also deeply appreciated. The writer also wishes to express his appreciation to Professors Theodore Y. T. Wu, Thomas K. Caughey, Herbert B. Keller, and Donald S. Cohen for the helpful discussions during the development of the theoretical analysis of this problem. The help from Professor James J. Morgan and Mr. Soloukid Pourian in developing the technique for controlling corrosion of the wave energy dissipators is very much appreciated.
The writer is deeply indebted to Mr. Elton F. Daly, supervisor of the shop and laboratory, for his assistance and patient instruction in both designing and building the experimental set up. Appreciation is also due Robert L. Greenway who assisted with the construction of the
experimental apparatus; Mr. Albert F. W. Chang who assisted in the computer programming; Mr. Joseph L. Hammack who assisted in performing experiments and reducing data; Messes. George Chan, Yoshiaki Daimon, and Claude Vidal who assisted in data reduction; Mr. Carl Green who prepared the drawings; Mr. Carl Eastvedt who did the photographic work; Mrs. Arvilla F. Krugh who typed the manuscript; and Mrs. Patricia Rankin who offered many valuable suggestions in preparing the manuscript. The writer also wishes to
express his sincere appreciation to his officemate, Mr. Edmund A. Prych, for friendly and helpful advice during the last three years. This research was supported by the U. S. Army corps of Engineers under Contract DA-22-079-CIVENG-64- 11. The experiments were conducted in the W. M. Keck Laboratory of Hydraulics and Water Resources at the California Institute of Technology. Except for Appendix V, this report was submitted by the writer in November, 1969, as a thesis with the same title to the California Institute of Technology in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Civil Engineering.