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

D. D. Bhatta and M. Rahman

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.