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An integral equation for the floating-body problem

Published online by Cambridge University Press:  21 April 2006

T. S. Angell ,
G. C. Hsiao  and
R. E. Kleinman
T. S. Angell
Affiliation:
Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
G. C. Hsiao
Affiliation:
Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
R. E. Kleinman
Affiliation:
Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
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Abstract

The time-harmonic three-dimensional finite-depth floating-body problem is reformulated as a boundary integral equation. Using the elementary fundamental solution that satisfies the boundary condition on the sea bottom but not the linearized free surface condition, the integral equation extends over both the ship hull and the free surface. It is shown that this integral equation is free of irregular frequencies, that is, it has at most one solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 161 - 171
Copyright
© 1986 Cambridge University Press

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