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Computation of the surge motion of a floating elastic plate

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AUT University

Abstract

One difficulty with computing the surge of a floating elastic plate is that Green's function for the boundary value problem has singularities on the boundary and at the corners. This talk will show how to resolve the integrals over the corners using the Kummer transform to separate the singular part of Green's function. The resulting numerical computation avoids the singular parts altogether. In contrast, the zero-draft approximation allows no surge important in water-tank scaled experiments. Our computation method efficient and accurate to study the surge motion in various frequency/wavelength regimes.

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New Zealand Mathematical Society Colloquium, University of Auckland, 6 – 8 December 2011

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NOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in (see Citation). The original publication is available at (see Publisher's Version)