Hydrodynamic interactions between a threedimensional body of revolution and an infinitely-long cylinder moving relatively in an in viscid fluid at rest at infinity are studied by the boundary-integral method. A set of four integral equations of the second kind are solved numerically, and a numerical technique is developed to evaluate integrations over steep peaks accurately and effectively. As a practical example. the moving trajectories of a sphere, conveyed by a uniform flow, around a fixed circular cylinder are computed and presented.
For design of offshore structures in arctic and subarctic waters, it is important to determine the interaction forces acting on the structures due to the unsteady motion of a floating ice floe in the near field. In general, the total interaction force consists the drag component and inertia component, and may be approximated by the Morison equation if the Reynolds number based on the size of an offshore structure is less than 2×105. Beyond this limit (Re>5×105), the inertia effects become predominant and the drag force may be neglected. Hydrodynamic interactions between a pair of cylinders was studied numerically by Isaacson & Cheung (1988). Later, Landweber & Chwang (1989) described a proce dure of computing interaction forces on the basis of the boundary integral method. This procedure was used by Landweber, Chwang, & Guo (1991) to study the centroidal motion of two cylinders and by Guo & Chwang (1991a, b) to study the oblique translation of two bodies of revolution with finite dimensions. Their results appear to be unsatisfactory when two bodies are very close to each other. In this paper, the oblique translation of a threedimensional body of revolution around a infinitely-long circular cylinder in an inviscid fluid, will be studied numerically by the boundary integral method.