Computation of free surface flow around a ship in shallow water using a potential based panel method

Article type: Research Article

Authors: Tarafder, Md. Shahjada^; | Suzuki, Kazuo

Affiliations: Department of Naval Architecture and Marine Engineering, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh E-mail: shahjada68@yahoo.com | Faculty of Engineering, Yokohama National University, Yokohama, Japan

Note: [] Corresponding author.

Abstract: This paper presents a potential based boundary element method for solving a nonlinear free surface flow problem for a ship moving with a uniform speed in shallow water. The free surface boundary condition is linearized by the systematic method of perturbation in terms of a small parameter up to second order. The surfaces are discretized into flat quadrilateral elements and the influence coefficients are calculated by Morino's analytical formula. Dawson's upstream finite difference operator is used in order to satisfy the radiation condition. The second order solution gives better result than the first order solution. So the present method with the second order solution can be adopted as a powerful tool for the hydrodynamic analysis of the thin ship in shallow water.

Keywords: Finite depth, wave making resistance, potential based boundary element method, perturbation method, Dawson's finite difference operator

Journal: International Shipbuilding Progress, vol. 53, no. 1, pp. 33-54, 2006