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An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics

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Abstract

In this paper a general fourth-order ordinary differential equation is derived for a class of functions including the time-domain Green function of linearized free-surface hydrodynamics and all its spatial derivatives. Among all the applications following from this new result, the acceleration of numerical computations in BEM solutions of time-domain hydrodynamics was the initial motivation of this work. Two new alternative methods for the computation of convolution integrals based on the new ODEs are suggested and illustrated by a numerical example.

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Authors and Affiliations

  1. Division Hydrodynamique Navale, CNRS UMR 6598, E.C.N., Laboratoire de Mécanique des Fluides –, Nantes, France

    A. H. Clément

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Clément, A.H. An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics. Journal of Engineering Mathematics 33, 201–217 (1998). https://doi.org/10.1023/A:1004376504969

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