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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.

Information

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

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