Research Article
Aug 1973
Asymptotic Solutions of Resonances in Harbors with Connected Basins
Author: Chih-Lan SuAuthor Affiliations
Publication: Journal of the Waterways, Harbors and Coastal Engineering Division
Volume 99, Issue 3
Abstract
Asymptotic formulas for the resonant wave numbers are obtained for harbors with connected basins. The number of basins is taken to be two in this paper. However, generalization of the formulas for harbors with more than two basins can easily be obtained. The harbor and the ocean are assumed to have a constant depth. The coast is assumed to be straight but the boundaries of the basins can assume arbitrary shapes. In deriving the asymptotic formulas, the widths of the entrances to each basin are assumed to be small compared with the incident wave length and also with the dimensions of the basins. Comparisons with existing numerical results, however, indicate that these formulas are good even when the entrance widths are comparable to the incident wave lengths and to the dimensions of the basins. The formulas depend only on the eigenvalues of the closed basins and the corresponding normal mode solutions as at entrances. Furthermore, each resonant wave number depends only on the normal modes with wave numbers close to it.
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Published In
Journal of the Waterways, Harbors and Coastal Engineering Division
Volume 99 • Issue 3 • August 1973
Pages: 375 - 392
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Aug 1973
Published online: Feb 12, 2021
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Affiliations
Chih-Lan Su
National Research Council Resident Research Associateship, Joint Tsunami Research Effort, NOAA, Univ. of Hawaii, Honolulu, Hawaii
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