Wave radiation from a truncated cylinder in front of a vertical wall

In this paper an analytical model is presented for the three-dimensional wave radiation problem of a cylinder floating on a layer of,water of finite depth in front of a vertical wall, based on the linearized velocity potential theory, image theory and an eigen-function expansion matching method. The image theory is utilized to transform the radiation problem from the floating cylinder beside a vertical wall of infinite length into the equivalent problem of wave radiation from two identical floating cylinders in unbounded fluid domain to derive expressions for added-mass and radiation damping. Expressions for velocity potentials are obtained by using the method of separation of variables, in which unknown coefficients are determined by applying the eigen-function expansion matching method. Added-mass and wave damping are then calculated directly from the radiated potentials. The model is validated by comparison of the present results with the numerical ones, and there is a good agreement. The influence of distance between the cylinder and the vertical wall, draft of the cylinder and water depth on hydrodynamic coefficients is given and discussed. (C) 2015 Elsevier Ltd. All rights reserved.