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An investigation into translating pulsating Green' functions for ship motion prediction

Record type: Conference or Workshop Item (Paper)

During recent years increasing interest has been shown in the theoretical calculation of three dimensional ship motions using singularity distribution methods and the coupled element method. Any practical calculation, particularly for a surface ship requires an efficient numerical scheme for evaluating the fundamental Green's function. This Green's function has been formulated as a double integral, most of the recent work has been to define alternative single integral forms making use of the complex exponential integral. In this paper the Green's function derived by Wu & Eatock Taylor is used. A major difficulty in its evaluation is the presence of a singularity in the integrand. A method is described, whereby this singularity is subtracted out to the first order and evaluated analytically. The Green's function is then evaluated analytically, and further calculated using an adaptive trapezium rule and Romberg quadrative. The behaviour of the Green's function for various frequencies, speeds and singularity positions typically used in ship motion predictions are shown and the implications discussed.

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Citation

Squires, M.A. and Wilson, P.A. (1992) An investigation into translating pulsating Green' functions for ship motion prediction In 4th International Conference on Computer Aided Design Manufacture and Operation in the Marine and Offshore Industries (CADMO 92). Computational Mechanics Publications. 18 pp, pp. 306-322.

More information

Published date: November 1992
Venue - Dates: 4th International Conference on Computer Aided Design Manufacture and Operation in the Marine and Offshore Industries (CADMO 92), 1992-11-01 - 1992-11-01
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 51143
URI: http://eprints.soton.ac.uk/id/eprint/51143
PURE UUID: d43b42df-503f-4e4f-ac6c-93b2b4f6e91c
ORCID for P.A. Wilson: ORCID iD orcid.org/0000-0002-6939-682X

Catalogue record

Date deposited: 07 May 2008
Last modified: 17 Jul 2017 14:49

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Contributors

Author: M.A. Squires
Author: P.A. Wilson ORCID iD

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