An investigation into translating pulsating Green' functions for ship motion prediction
An investigation into translating pulsating Green' functions for ship motion prediction
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.
306-322
Computational Mechanics Publications
Squires, M.A.
502274b9-8fae-4dfe-9fc4-460b5c01e015
Wilson, P.A.
8307fa11-5d5e-47f6-9961-9d43767afa00
November 1992
Squires, M.A.
502274b9-8fae-4dfe-9fc4-460b5c01e015
Wilson, P.A.
8307fa11-5d5e-47f6-9961-9d43767afa00
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.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
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.
Text
A. Squires, P.A. Wilson-An Investigation into the Translating Pulsating Green's Function for Ship Motions Prediction
- Author's Original
More information
Published date: November 1992
Venue - Dates:
4th International Conference on Computer Aided Design Manufacture and Operation in the Marine and Offshore Industries, , Madrid, Spain, 1992-11-03 - 1992-11-03
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
Catalogue record
Date deposited: 07 May 2008
Last modified: 16 Mar 2024 02:35
Export record
Contributors
Author:
M.A. Squires
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
