Summary
A harbor with two coupled rectangular basins is subjected to periodic incident waves. Ignoring friction the scattering problem is solved by the method of matched asymptotics for narrow junctions. The example of two identical basins is analyzed in detail for the resonant spectrum and response. It is shown that for certain modes the inner basin is less shielded.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Miles and W. Munk, Harbor paradox.J. Waterways and Harbours Div., ASCE 87, no. WW3 (1961) 111–130.
L. S. Hwang and E. O. Tuck, On the oscillations of harbors of arbitrary shape.J. Fluid Mech. 42 (1970) 447–464.
J. J. Lee, Wave-induced oscillations in harbors of arbitrary geometry.J. Fluid Mech., part 2, 45 (1971) 375–393.
C. L. Su, Asymptotic solutions of resonances in harbors with connected basins.J. Waterways, Harbors and Coastal Eng. Div., Proc. ASCE WW3 (1973) 375–391.
H. S. Chen and C. C. Mei, Oscillations and wave forces in a man-made harbor in the open sea.Proc. 10th Naval Hydrodynamics Symposium, Office of Naval Research, June 1974.
C. J. R. Garrett, Bottomless harbours.J. Fluid Mech. 43 (1970) 433–439.
J. W. Miles, Resonant response of harbors: An equivalent circuit analysis.J. Fluid Mech., part 2, 41 (1971) 241–265.
G. F. Carrier, R. P. Shaw and M. Miyata, The response of narrow mouted harbors in a straight coastline to periodic incident waves.J. of Applied Mech., no. 2, 38 (1971) 335–344.
J. W. Miles and Y. K. Lee, Helmholtz resonance of harbors.J. Fluid Mech., part 3, 67 (1975) 445–464.
J. J. Lee and F. Raichlen, Oscillations in harbor with connected basins.J. Waterways, Harbors and Coastal Eng. Div., ASCE 98, no. WW3 (1972) 311–332.
J. J. Lee and F. Raichlen, Wave induced oscillations in harbors with connected basins. Keck Laboratory Report KH-R-26, Calif. Institute of Technology, 1971.
V. T. Buchwald, The diffraction of tides by a narrow channel.J. Fluid Mech., part 3, 46 (1971) 501–511.
E. O. Tuck, Transmission of water waves through small apertures.J. Fluid Mech., part 1, 49 (1971) 65–73.
ü. ünlüata and C. C. Mei, Excitation of long waves in harbors—An analytical study, Tech. Report 171, Dept. of Civil Engrg., M.I.T., 1973.
A. G. Sitenko,Lectures on Scattering Theory. Pergamon Press, 1971.
M. S. Longuet-Higgins, On the trapping of wave energy round islands.J. Fluid Mech., part. 4, 29 (1967) 781–821.
P. M. Morse and K. U. Ingard,Theoretical Acoustics. McGraw-Hill, 1968.
E. O. Tuck, Matching problems involving flow through small holes.Adv. in Applied Mech., Academic Press, 15 (1975) 89–158.
ü. ünlüata and C. C. Mei, Effects of entrance loss on harbor oscillations.J. Waterways, Harbors and Coastal Eng. Div., Proc. ASCE 101, no. WW2 (1975) 161–180.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mei, C.C., ünlüata, ü. Resonant scattering by a harbor with two coupled basins. J Eng Math 10, 333–353 (1976). https://doi.org/10.1007/BF01535569
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01535569