International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 57, Pages 3643-3656
doi:10.1155/S0161171203209285
Abstract
We derived added mass and damping coefficients of a vertical
floating circular cylinder due to surge motion in calm water of
finite depth. This is done by deriving the velocity potential for
the cylinder by considering two regions, namely, interior region
and exterior region. The velocity potentials for these two regions
are obtained by the method of separation of variables. The
continuity of the solutions has been maintained at the imaginary
interface of these regions by matching the functions and gradients
of each solution. The complex matrix equation is numerically
solved to determine the unknown coefficients. Some
computational results are presented for different depth-to-radius
and draft-to-radius ratios.