An improved matching method to solve the diffraction—radiation problem of a ship moving in waves
An improved matching method to solve the diffraction—radiation problem of a ship moving in waves
On the underlying assumption that the disturbance of the far-field velocity potential caused by the motion of a ship is small and may be linearized, an improved matching method is developed. Two arrays of fundamental singularities are placed inside the ship hull, which satisfy the linear free surface condition outside the truncated fluid domain and the far-field radiation condition. The choice of fundamental singularity depends on the problem under investigation (e.g.pulsating, translating or translating and pulsating source). The unknown strength of these singularities and the near-field velocity potential are determined in a coupled manner. It is shown from numerical examples that the present method provides a more efficient and accurate representation of waves in the far field than conventional matching methods.
matching methods, diffraction-radiation problem, far-field velocity potential, ship motion
139-152
Du, S.X.
f18078dc-6557-43db-87d2-29839c98bf8c
Hudson, D.A.
3814e08b-1993-4e78-b5a4-2598c40af8e7
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Temarel, P.
b641fc50-5c8e-4540-8820-ae6779b4b0cf
2004
Du, S.X.
f18078dc-6557-43db-87d2-29839c98bf8c
Hudson, D.A.
3814e08b-1993-4e78-b5a4-2598c40af8e7
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Temarel, P.
b641fc50-5c8e-4540-8820-ae6779b4b0cf
Du, S.X., Hudson, D.A., Price, W.G. and Temarel, P.
(2004)
An improved matching method to solve the diffraction—radiation problem of a ship moving in waves.
Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 218 (3), .
(doi:10.1243/1475090041737930).
Abstract
On the underlying assumption that the disturbance of the far-field velocity potential caused by the motion of a ship is small and may be linearized, an improved matching method is developed. Two arrays of fundamental singularities are placed inside the ship hull, which satisfy the linear free surface condition outside the truncated fluid domain and the far-field radiation condition. The choice of fundamental singularity depends on the problem under investigation (e.g.pulsating, translating or translating and pulsating source). The unknown strength of these singularities and the near-field velocity potential are determined in a coupled manner. It is shown from numerical examples that the present method provides a more efficient and accurate representation of waves in the far field than conventional matching methods.
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Published date: 2004
Keywords:
matching methods, diffraction-radiation problem, far-field velocity potential, ship motion
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Local EPrints ID: 22871
URI: http://eprints.soton.ac.uk/id/eprint/22871
ISSN: 1475-0902
PURE UUID: 489b6302-f1a4-41eb-99d7-4c7383cb4bd7
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Date deposited: 23 Mar 2006
Last modified: 16 Mar 2024 02:48
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Author:
S.X. Du
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