An integral equation for the floating-body problem
- 1 May 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 166 (-1) , 161-171
- https://doi.org/10.1017/s0022112086000083
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.Keywords
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