International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 1, Pages 151-170
Wave loadings on a vertical cylinder due to heave motion
Department of Applied Mathematics, Technical University of Nova Scotia, Halifax B3J 2X4, Canada
Received 17 December 1992; Revised 6 June 1993
Copyright © 1995 D. D. Bhatta and M. Rahman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Wave forces and moments due to scattering and radiation for a vertical circular
cylinder heaving in water of finite depth are derived analytically. These are derived from the total
velocity potential which can be decomposed as two velocity potentials; one due to scattering in the
presence of an incident wave on fixed structure (diffraction problem), and the other due to radiation
by the heave motion on calm water (radiation problem). For each part, the velocity potential is
derived by considering two regions, namely, interior region and exterior region. The complex matrix
equations are solved numerically to determine the unknown coefficients to compute the wave loads.
Some numerical results are presented for different depth to radius and draft to radius ratios.