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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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