A novel numerical method for the hydrodynamic analysis of floating bodies over a sloping bottom

Journal of Marine Science and Technology - Tập 26 - Trang 1198-1216 - 2021
Xiaolei Liu1,2,3, Quanming Miao4, Xuefeng Wang1,2,3, Shengwen Xu1,2,3, Huiqu Fan5
1State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, People’s Republic of China
2Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), Shanghai, People’s Republic of China
3School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, People’s Republic of China
4School of Ocean Engineering, Jiangsu Ocean University, Jiangsu, People’s Republic of China
5China Ship Scientific Research Center, Jiangsu, People’s Republic of China

Tóm tắt

A novel numerical method combining Eigenfunction matching method (EMM) and 3D Rankine source method is developed to investigate wave-body interaction over a sloping bottom. The extended EMM is proposed to create an incident wave model over the sloping bottom, thereby obtaining the Froude-Krylov force and Neumann data on wet surfaces of the floating body for the diffraction problem. A 3D Rankine source method concerning the sloping bottom is developed, in which the free surface and seabed are both divided into the inner domain and outer domain. Source panels are placed in an exponential manner in the latter domain, by which the far field radiation condition is well satisfied. To verify the proposed method, comparisons with other mathematical models involving added mass and damping coefficients, wave exciting forces and motion RAOs by a floating hemisphere and a LNG carrier are carried out.

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