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http://dx.doi.org/10.1016/j.ijnaoe.2020.11.007

Accuracy evaluation of 3D time-domain Green function in infinite depth  

Zhang, Teng (State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture Engineering, Dalian University of Technology)
Zhou, Bo (State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture Engineering, Dalian University of Technology)
Li, Zhiqing (State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture Engineering, Dalian University of Technology)
Han, Xiaoshuang (Marine Engineering College, Dalian Maritime University)
Gho, Wie Min (Maritime Production research Pte. Ltd)
Publication Information
International Journal of Naval Architecture and Ocean Engineering / v.13, no.1, 2021 , pp. 50-56 More about this Journal
Abstract
An accurate evaluation of three-dimensional (3D) Time-Domain Green Function (TDGF) in infinite water depth is essential for ship's hydrodynamic analysis. Various numerical algorithms based on the TDGF properties are considered, including the ascending series expansion at small time parameter, the asymptotic expansion at large time parameter and the Taylor series expansion combines with ordinary differential equation for the time domain analysis. An efficient method (referred as "Present Method") for a better accuracy evaluation of TDGF has been proposed. The numerical results generated from precise integration method and analytical solution of Shan et al. (2019) revealed that the "Present method" provides a better solution in the computational domain. The comparison of the heave hydrodynamic coefficients in solving the radiation problem of a hemisphere at zero speed between the "Present method" and the analytical solutions proposed by Hulme (1982) showed that the difference of result is small, less than 3%.
Keywords
Time-domain Green function; Asymptotic expansion; Taylor series expansion; Ordinary differential equation; Radiation problem;
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