A note on second-order wave forces on a circular cylinder in finite water depth

Citation
M. Rahman et al., A note on second-order wave forces on a circular cylinder in finite water depth, APPL MATH L, 12(1), 1999, pp. 63-70
Citations number
12
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
1
Year of publication
1999
Pages
63 - 70
Database
ISI
SICI code
0893-9659(199901)12:1<63:ANOSWF>2.0.ZU;2-T
Abstract
This paper presents the second-order diffraction problem for a large vertic al cylinder. Expressions have been obtained for three second-order forces, namely waterline force, dynamic force, and quadratic force. The first-order potentials contribute to waterline and dynamic forces, whereas the second- order potentials contribute to the quadratic force. This quadratic force is obtained with the knowledge of the linear diffraction potential only using the Green's function method; an explicit form of the quadratic potential i s not needed. The theory in this paper emphasizes on the contribution of th e second-order forces to the total force. (C) 1998 Elsevier Science Ltd. Al l rights reserved.