Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-16T09:32:11.059Z Has data issue: false hasContentIssue false

The mean drift force and yaw moment on marine structures in waves and current

Published online by Cambridge University Press:  26 April 2006

John Grue
Affiliation:
Department of Mathematics, Mechanics Division, University of Oslo, Norway
Enok Palm
Affiliation:
Department of Mathematics, Mechanics Division, University of Oslo, Norway

Abstract

The effect of the steady second-order velocities on the drift forces and moments acting on marine structures in waves and a (small) current is considered. The second-order velocities are found to arise due to first-order evanescent modes and linear body responses. Their contributions to the horizontal drift forces and yaw moment, obtained by pressure integration at the body, and to the yaw drift moment, obtained by integrating the angular momentum flux in the far field, are expressed entirely in terms of the linear first-order solution. The second-order velocities may considerably increase the forward speed part of the mean yaw moment on realistic marine structures, with the most important contribution occurring where the wave spectrum often has its maximal value. The contribution to the horizontal forces obtained by pressure integration is, however, always found to be small. The horizontal drift forces obtained by the linear momentum flux in the far field are independent of the second-order velocities, provided that there is no velocity circulation in the fluid.

Type
Research Article
Copyright
© 1993 Cambridge University Press

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

Grue, J. & Palm, E. 1985 Wave radiation and wave diffraction from a submerged body in a uniform current. J. Fluid Mech. 151, 257278.Google Scholar
Grue, J. & Palm, E. 1986 The influence of a uniform current on slowly varying forces and displacements. Appl. Ocean Res. 8, 232239.Google Scholar
Kashiwagi, M. 1991 Calculation formulas for the wave-induced steady horizontal force and yaw moment on a ship with forward speed. Rep. Res. Inst. for Appl. Mech., Kyushu Univ., 37.Google Scholar
Maruo, H. 1960 Wave resistance of a ship in regular head sea. Bull. Faculty Engng, Yokohama Natl Univ., 9.Google Scholar
Nakos, D. E. & Sclavounos, P. D. 1990 Steady and unsteady ship wave patterns. J. Fluid Mech. 215, 265288.Google Scholar
Newman, J. N. 1967 The drift force and moment on ships in waves. J. Ship Res. 11, 5160.Google Scholar
Newman, J. N. 1993 Wave-drift damping of floating bodies in waves. J. Fluid Mech. 249, 241259.Google Scholar
Nossen, J., Grue, J. & Palm, E. 1991 Wave forces on three-dimensional floating bodies with small forward speed. J. Fluid Mech. 227, 135160.Google Scholar
Ogilvie, T. F. 1983 Second-order hydrodynamic effects on ocean platforms. Intl Workshop on Ship and Platform Motions. Univ. Calif. Berkeley.Google Scholar
Wu, G. X. & Eatock-Taylor, R. 1990 The hydrodynamic force on an oscillating ship with low forward speed. J. Fluid Mech. 211, 333353.Google Scholar
Zhao, R. & Faltinsen, O. M. 1990 Interaction between current, waves and marine structures. 5th Intl Conf. on Numerical ship Hydrodynamics, 1989. Washington: National Academy Press.