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%.


    Access

    Download


    Export, share and cite



    Title :

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


    Contributors:
    Teng Zhang (author) / Bo Zhou (author) / Zhiqing Li (author) / Xiaoshuang Han (author) / Wie Min Gho (author)


    Publication date :

    2021




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown





    Green Function of Steady Motion in Finite Water Depth

    Yang, Qinzheng | Online Contents | 2006



    A calculation method for finite depth free-surface green function

    Liu, Yingyi / Iwashita, Hidetsugu / Hu, Changhong | Online Contents | 2015


    A calculation method for finite depth free-surface green function

    Yingyi Liu / Hidetsugu Iwashita / Changhong Hu | DOAJ | 2015

    Free access