The solution to water wave scattering and radiation
problems involving semi-immersed circular cylinders
by R. Porter
In this technical report we describe the method of solution to a variety
of twodimensional problems involving semi-immersed cylinders in the free
surface. These include: (i) determining the reflection and transmission
coefficients for the scattering of incident waves by a single fixed
cylinder; (ii) determining the added mass and radiation damping for a
cylinder forced to move with unit velocity in both heave and sway motions;
(iii) determining the heave and sway added mass and damping coefficients
for a cylinder in forced motion next to a vertical boundary on which
either a Neumann or Dirichlet condition is posed, equivalent to a pair
of cylinders forced to move in-phase or out of phase with each other.
In each case, the fluid is assumed to be of infinite depth and the fluid
motion is two-dimensional. The description of the method of solution for
parts (i) and (ii) follows that of Martin & Dixon (1983). The formulation
of the solution for the final third problem is similar to that performed
by Wang & Wahab (1971) for catamarans in heave oscillation only.
Download PDF