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- W2288787473 abstract "The object of this paper is to introduce a simplified manner to construct the Green function from the theory of linear gravity waves, as associated with forced oscillations of a submerged body near the surface of a deep fluid. The problem is formulated in the frequency domain, in terms of a velocity potential satisfying Laplace equation and adequate boundary conditions. The singular part of the solution, usually known as the Rankin potential, will be searched as the potential induced by a distribution of normal and tangential doublets. As to its regular part (Kelvin's potential), it will be assembled as a set of multipole expansions whose far-field exhibits the same behaviour as the source-dipole wave asymptotics. The singularity densities are afterwards determined by solving a linear system of algebraic equations, which guarantee the impermeability of the body surface at a number of discrete boundary elements. The validity and precision of the method are finally discussed." @default.
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- W2288787473 date "1970-01-01" @default.
- W2288787473 modified "2023-09-24" @default.
- W2288787473 title "On The Use Of Multipole Expansions ToApproximate The Diffraction-radiation WaveIntegrals" @default.
- W2288787473 cites W2028160418 @default.
- W2288787473 doi "https://doi.org/10.2495/afm000371" @default.
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