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Article Dans Une Revue Journal of Engineering Mathematics Année : 1998

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

A.H. Clément

Résumé

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.

Dates et versions

hal-00433342 , version 1 (18-11-2009)

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Citer

A.H. Clément. An ordinary differential equation for the Green function of time-domain free-surface hydrodynamics. Journal of Engineering Mathematics, 1998, 33 (2), pp. 201-217. ⟨10.1023/A:1004376504969⟩. ⟨hal-00433342⟩
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