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Surfing on solitary waves

Published online by Cambridge University Press:  21 April 2006

J. M. Vanden-Broeck  and
Joseph B. Keller
J. M. Vanden-Broeck
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, WI 53705, USA
Joseph B. Keller
Affiliation:
Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, CA 94305, USA
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Abstract

The steady motion of a flat surfboard propelled by a solitary wave is considered. The shape of the free surface and the flow of the fluid are determined numerically by series truncation for flows without spray or splash. These flows all bifurcate from the uniform horizontal flow at the critical value of the Froude number. Various limiting cases of these special flows are described analytically. Flows past submerged hydrofoils are discussed also.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 198 , January 1989 , pp. 115 - 125
Copyright
1989 Cambridge University Press

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References

Cumberbatch, E.: 1958 J. Fluid Mech. 4, 466.
Dagan, G. & Tulin, M. P., 1972 J. Fluid Mech. 51, 529.
Green, A. E.: 1936 Proc. Camb. Phil. Soc. 32, 67.
Hunter, J. K. & Vanden-Broeck, J.-M.1983 J. Fluid Mech. 136, 63.
Naghdi, P. M. & Rubin, M. B., 1981 J. Fluid Mech. 103, 345.
Rispin, P. P. A.: 1967 A singular perturbation method for nonlinear water waves past an obstacle. Ph.D. thesis, California Institute of Technology.
Ting, L. & Keller, J. B., 1974 Phys. Fluids 17, 1080.
Ting, L. & Keller, J. B., 1977 J. Ship. Res. 21, 40.
Vanden-Broeck, J.-M.: 1987 Phys. Fluids 30, 2315.
Vanden-Broeck, J.-M. & Keller, J. B.1987 J. Fluid Mech. 176, 283.
Wagner, H.: 1932 Z. angew. Math. Mech. 12, 193.
Wu, Th. Y. T.1967 Intl Shipbuilding Prog. 14, 88.