THE RELATIVE MOTION AND WAVE ELEVATION BETWEEN TWO SHIPS ADVANCING IN WAVES

Article type: Research Article

Authors: Fang, Ming-Chung | Chen, Gung-Rong

Affiliations: Department of Naval Architecture and Marine Engineering, National Cheng Kung University, Tainan, Taiwan | Department of Naval Architecture, National Kaoshiung Institute of Marine Technology, Kaoshiung, Taiwan

Abstract: In this paper, the relative motion and wave elevations between two ships advancing in waves are studied by using a 3D pulsating source distribution method. The numerical technique with four series expansions and one integral representation submitted by Telste & Noblesse [14] is adopted for solving the corresponding Greens function and derivatives. Including the three-dimensional hydrodynamic interaction between two moving ships, a set of equations of twelve coupled motions were obtained and then extended to solve the relative motions and wave elevations. The satisfactory agreement of the motion amplitude with experimental data for zero speed is obtained, which can be firstly used to support the validity of the present technique. From the present results, we can conclude that the 3D prediction technique developed here is indeed better than the 2D one concerning many physical respects. However, if the experiments for relative motion and wave elevation between two moving ships can be made in the future for comparison, the present method will be more rigorous.

Keywords: relative motion, wave elevation, diffraction potential, radiation potential

Journal: International Shipbuilding Progress, vol. 49, no. 3, pp. 177-194, 2002