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Three-dimensional water-wave scattering in two-layer fluids

Published online by Cambridge University Press:  03 November 2000

J. R. CADBY  and
C. M. LINTON
J. R. CADBY
Affiliation:
Department of Mathematical Sciences, Loughborough University, Leicestershire LE11 3TU, UK
C. M. LINTON
Affiliation:
Department of Mathematical Sciences, Loughborough University, Leicestershire LE11 3TU, UK
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Abstract

We consider, using linear water-wave theory, three-dimensional problems concerning the interaction of waves with structures in a fluid which contains a layer of finite depth bounded above by a free surface and below by an infinite layer of fluid of greater density. For such a situation time-harmonic waves can propagate with two different wavenumbers K and k. In a single-layer fluid there are a number of reciprocity relations that exist connecting the various hydrodynamic quantities that arise, and these relations are systematically extended to the two-fluid case. The particular problems of wave radiation and scattering by a submerged sphere in either the upper or lower layer are then solved using multipole expansions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 423 , 25 November 2000 , pp. 155 - 173
Copyright
© 2000 Cambridge University Press

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