International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 57, Pages 3643-3656

Surge motion on a floating cylinder in water of finite depth

Dambaru D. Bhatta

Department of Mathematics, Louisiana State University Alexandria (LSUA), Alexandria 71302, LA, USA

Received 10 September 2002; Revised 16 October 2002

Copyright © 2003 Dambaru D. Bhatta. 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.


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.