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Scattering of surface waves by rectangular obstacles in waters of finite depth

Published online by Cambridge University Press:  29 March 2006

Chiang C. Mei  and
Jared L. Black
Chiang C. Mei
Affiliation:
Hydrodynamics Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology
Jared L. Black
Affiliation:
Hydrodynamics Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology
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Abstract

The scattering of infinitesimal surface waves normally incident on a rectangular obstacle in a channel of finite depth is considered. A variational formulation is used as the basis of numerical computations. Scattering properties for bottom and surface obstacles of various proportions, including thin barriers and surface docks, are presented. Comparison with experimental and theoretical results by other investigators is also made.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 3 , 18 September 1969 , pp. 499 - 511
Copyright
© 1969 Cambridge University Press

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References

Barakat, R. 1968 The interaction of surface waves with fixed semi-immersed cylinders having symmetric cross-sections. To be published in J. Appl. Sci. Res.Google Scholar
Collin, R. E. 1960 Field Theory of Guided Waves. New York: McGraw-Hill.
Dean, R. G. & Ursell, F. 1959 Interaction of a fixed semi-immersed circular cylinder with a train of surface waves. Hydrodynamics Laboratory Tech. Rep. no. 37. Massachusetts Institute of Technology.
Dean, W. R. 1945 On the reflexion of surface waves by a submerged plane barrier Proc. Camb. Phil. Soc. 41, 231.Google Scholar
Dick, T. M. 1968 On solid and permeable submerged breakwaters. Civil Engng Rep. no. 59, Queen's University, Kingston, Ontario.
Friedrichs, K. O. & Lewy, H. 1948 The dock problem. Comm. Pure Appl. Math. 1 135Google Scholar
Holford, R. L. 1964 Short surface waves in the presence of finite dock, I and II Proc. Camb. Phil. Soc. 60, 957.Google Scholar
Jolas, P. 1960 Passage de la houle sur un seuil Houille Blanche, 15, 148.Google Scholar
Kajiura, K. 1961 On the partial reflexion of water waves passing over a bottom of variable depth I.U.G.G. Monograph, 24, 206.Google Scholar
Kincaid, G. A. 1960 Effects of natural period upon the characteristics of a moored floating breakwater. M.I.T. B.S. Thesis, Dept. of Civil and Sanitary Engng.
Kreisel, H. 1949 Surface waves Quart. Appl. Math. 7, 21.Google Scholar
Mei, C. C. 1967 On the weak reflexion of periodic water waves over bottom obstacles. M.I.T. Hydrodynamics Laboratory Tech. Rep. no. 108. (To be published in J. Engng Mech. Division. Proc. ASCE.)Google Scholar
Miles, J. W. 1967 Surface-wave scattering matrix for a shelf J. Fluid Mech. 28, 755.Google Scholar
Miles, J. W. 1968 Lee waves in a stratified flow. Part I. Thin barrier J. Fluid Mech. 32, 549.Google Scholar
Newman, J. N. 1965a Propagation of water waves over an infinite step. J. Fluid Mech. 23, 399.Google Scholar
Newman, J. N. 1965b Propagation of water waves past long two-dimensional obstacles. J. Fluid Mech. 23, 23.Google Scholar
Ogilvie, T. F. 1960 Propagation of waves over an obstacle in water of finite depth. Inst. Engng Res. Rep. 82–14, University of California.Google Scholar
Roseau, M. 1952 Contribution à la théorie des ondes liquids de gravité en profondeur variable. Publ. Sci. et Tech. du Ministère de l'ir, 275.
Stoker, J. J. 1957 Water Waves. New York: Interscience.
Takano, K. 1960 Effects d'n obstacle parallélépipédique sur la propagation de la houle Houille Blanche, 15, 247.Google Scholar
Ursell, F. 1947 The effect of a fixed vertical barrier on surface waves in deep water Proc. Camb. Phil. Soc. 43, 374.Google Scholar