A new ordinary differential equation for the evaluation of the frequency-domain Green function - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Applied Ocean Research Année : 2019

A new ordinary differential equation for the evaluation of the frequency-domain Green function

Résumé

Clément (2013) derived a second order ordinary differential equation (ODE) satisfied by the free-surface Green function in the frequency domain. Since then, similar ODEs for the gradient of the Green function have been developed. Unfortunately, all these ODEs degenerate at zero frequency. Therefore, it is not possible to initialize the numerical solution of these ODEs from this zero frequency. Alternative methods based on the shifting of the initial condition to frequencies strictly greater than zero have then been developed. The present paper describes an alternative approach to address this issue. It involves a new function which is the solution of a modified ODE which can be solved from the zero frequency. Finally, comparisons with evaluations of the Green function using the classical direct integration method are provided. They show that the new ODE can provide accurate estimates of the Green function.
Fichier principal
Vignette du fichier
APOR2_version2_revAB_modify.pdf (773.15 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02065062 , version 1 (12-03-2019)

Identifiants

Citer

Chunmei Xie, Xiaobo Chen, Alain H. Clément, Aurélien Babarit. A new ordinary differential equation for the evaluation of the frequency-domain Green function. Applied Ocean Research, 2019, 86, pp.239-245. ⟨10.1016/j.apor.2019.03.003⟩. ⟨hal-02065062⟩
45 Consultations
158 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More