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Weakly Singular Boundary-Integral Representations of Free-Surface Flows About Ships or Offshore Structures

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The fundamental problem of determining the free-surface potential flow that corresponds to a given flow at the wetted surface of a ship or offshore structure is considered for diffraction-radiation of time-harmonic waves with forward speed and the special cases corresponding to zero forward speed or zero wave frequency. Boundary-integral representations that define the velocity potential in terms of functions that are no more singular than a Green function G are given. These boundary-integral representations are weakly singular in comparison to the classical boundary-integral representations of free-surface potential flows, which define the potential in terms of G and ∇ G.
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Document Type: Research Article

Publication date: 01 March 2004

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  • The Journal of Ship Research is a quarterly publication providing highly technical papers on applied research in hydrodynamics, propulsion, ship motions, structures, and vibrations. While the Journal requires that papers present the results of research that advances ship and ocean science and engineering, most contributions bear directly on other disciplines, such as civil and mechanical engineering, applied mathematics, and numerical analysis. High quality papers are contributed from the U.S., Canada and overseas, with representation from established authorities as well as new researchers.
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