Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-01-09T21:40:01.432Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear impulse of ocean waves on floating bodies

Published online by Cambridge University Press:  06 March 2012

Paul D. Sclavounos
Paul D. Sclavounos*
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

A new formulation is presented of the nonlinear loads exerted on floating bodies by steep irregular surface waves. The forces and moments are expressed in terms of the time derivative of the fluid impulse which circumvents the time-consuming computation of the temporal and spatial derivatives in Bernoulli’s equation. The nonlinear hydrostatic force on a floating body is shown to point vertically upwards and the nonlinear Froude–Krylov force and moment are derived as the time derivative of an impulse that involves the time derivative of a simple integral of the ambient velocity potential over the time-dependent body wetted surface. The nonlinear radiation and diffraction forces and moments are expressed as time derivatives of two impulses, a body impulse and a free surface impulse that represents higher-order wave loads acting along the body waterline. Numerical results are presented illustrating the accuracy of the new force expressions. Applications discussed include the nonlinear seakeeping of ships and offshore platforms and the extreme wave loads and responses of offshore wind turbines.

JFM classification

Waves/Free-surface Flows: Surface gravity waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 697 , 25 April 2012 , pp. 316 - 335
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Kelvin, L. 1868 On vortex motion. Trans. Phil. Soc. Edinburg 25, 217–260, Also: Collected works, Vol. IV, 13–65.Google Scholar
2. Lamb, H. 1932 Hydrodynamics. Dover.Google Scholar
3. Lighthill, M. J. 1986 An Informal Introduction to Theoretical Fluid Mechanics. Oxford University Press.Google Scholar
4. Newman, J. N. 1977 Marine Hydrodynamics. The MIT Press.CrossRefGoogle Scholar
5. Sclavounos, P. D. 2011 Karhunen-Loeve representation of stochastic ocean waves. Proc. R. Soc. Lond. A (submitted).CrossRefGoogle Scholar