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Wave interaction between adjacent slender bodies

Published online by Cambridge University Press:  21 April 2006

S. R. Breit  and
P. D. Sclavounos
S. R. Breit
Affiliation:
Massachusetts Institute of Technology, Department of Ocean Engineering, Cambridge, Massachusetts, USA
P. D. Sclavounos
Affiliation:
Massachusetts Institute of Technology, Department of Ocean Engineering, Cambridge, Massachusetts, USA
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Abstract

A linear approximation for surface-wave radiation by two adjacent slender bodies is derived and compared with a three-dimensional numerical method. The approximation incorporates slender-body theory for a single body and accounts for wave interaction between the bodies. It is assumed that the distance between the bodies is on the order of their lengths. The far-field disturbance due to each body is obtained by distributing wave sources and dipoles on its centreline and solving a pair of coupled integral equations for their strengths and moments respectively. The hydrodynamic added-mass and damping coefficients are then calculated from simple expressions involving the source strengths and the hydrodynamic coefficients of each body separately. Wave exciting forces are also calculated from a far-field reciprocity relation. The approximation performs well even when the separation distance is comparable to the characteristic transverse dimension of each body.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 165 , April 1986 , pp. 273 - 296
Copyright
© 1986 Cambridge University Press

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References

Breit, S. R., Newman, J. N. & Sclavounos, P. D. 1985 A new generation of panel programs for radiation—diffraction problems. In Proc. 4th Intl Conf. Behavior of Off-Shore Structures (BOSS '85), Delft (ed. J. A. Battjes). Elsevier.
Greenhow, M. J. L. 1980 The hydrodynamic interactions of spherical wave-power devices in surface waves. In Power from Sea Waves (ed. B. M. Count), pp. 287–343. Academic.
Haskind, M. D. 1957 The exciting forces and wetting of ships in waves (in Russian). Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk 7, 65–79. English translation available as David Taylor Model Basin Translation No. 307.Google Scholar
Kaoemoto, H. & Yte, D. K. P. 1985 Wave forces on multiple leg platforms. In Proc. 4th Intl Conf. Behavior of Off-Shore Structures (BOSS '85), Delft (ed. J. A. Battjes). Elsevier.
Kim, W. D. 1965 On the harmonic oscillations of a rigid body on a free surface. J. Fluid Mech. 21, 427–451.Google Scholar
Korvin-Kroukovsky, B. V. 1955 Investigation of ship motions in regular waves. Trans. Soc. Naval Archs and Mar. Engrs Trans. 85, 590–632.Google Scholar
Lee, C. M. 1976 Theoretical prediction of motion of small-waterplane-area, twin-hull (SWATH) ships in waves. David W. Taylor Naval Ship Research and Development Center Rep. 76–0046.Google Scholar
Marthinsen, T. & Vinje, T. 1985 Nonlinear hydrodynamic interaction in offshore loading systems. In Proc. 4th Intl Conf. on Behavior of Off-Shore Structures (BOSS '85), Delft (ed. J. A. Battjes). Elsevier.
Martin, P. A. 1984 Multiple scattering of surface water waves and the null-field method. In Proc. 15th Symp. on Naval Hydrodynamics, Hamburg.
Miles, J. W. 1983 Surface-wave diffraction by a periodic row of submerged ducts. J. Fluid Mech. 128, 155–180.Google Scholar
Nestegard, A. & Sclavounos, P. D. 1984 A numerical solution of two-dimensional deep water wave-body problems. J. Ship Res. 24, 8–23.Google Scholar
Newman, J. N. 1978 The theory of ship motions. Adv. Appl. Mech. 18, 221–283.Google Scholar
Ogilvie, T. F. & Tuck, E. O. 1969 A rational strip theory of ship motions. Part I. Dept of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor Rep. No. 013.
Ohkusu, M. 1970 On the heaving motion of two circular cylinders on the surface of a fluid. Reports of Research Institute for Applied Mechanics, Kyushu Univ., Vol. XVII No. 58, pp. 167–185.
Ohkusu, M. 1974 Hydrodynamic forces on multiple cylinders in waves. In. Proc. Intl Symp. On the Dynamics of Marine Vehicles and Structures in Waves, pp. 107–112. Institute of Mechanical Engineers.
Sclavounos, P. D. 1984 The diffraction of free-surface waves by a slender ship. J. Ship Res. 28, 29–47.Google Scholar
Sclavounos, P. D. 1985a Forward speed vertical wave exciting forces on ships in waves. J. Ship Res. 29, pp. 105–111.Google Scholar
Sclavounos, P. D. 1985b User manual of NIIRID: a general purpose program for wave-body interactions in two dimensions. Dept of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Simon, M. J. 1982 Multiple scattering in arrays of axisymmetric wave-energy devices. Part 1. A matrix method using a plane-wave approximation. J. Fluid Mech. 120, 1–25.Google Scholar
Spring, B. H. & Monkmeyer, P. L. 1974 Interaction of plane waves with vertical cylinders. In Proc. 14th Intl Conf. on Coastal Engineering, chapter 107, pp. 1828–1845.
Srokosz, M. A. & Evans, D. V. 1979 A theory for wave-power absorption by two independently oscillating bodies. J. Fluid Mech. 90, 337–362.Google Scholar
Twerskv, V. 1952 Multiple scattering of radiation by an arbitrary configuration of parallel cylinders. J. Acoust. Soc. Am. 24, 42–46.Google Scholar
Wang, S. & Wahab, R. 1970 Heaving oscillations of twin cylinders in a free surface. J. Ship Res. 15, 33–48.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. In Handbuch der Physic (ed. S. Flugge), vol. 9, pp. 446–778.
Yeung, R. W. 1973 A singularity-distribution method for free-surface flow problems with an oscillating body. Rep. No. NA 73–6, Col. of Engng, University of California, Berkeley.Google Scholar