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Implicit expresions of static and incident wave pressures over the instantaneous wetted surface of ships. [In Fluid-Structure Interactions: special issue in honour of Professor W. Geraint Price

Implicit expresions of static and incident wave pressures over the instantaneous wetted surface of ships. [In Fluid-Structure Interactions: special issue in honour of Professor W. Geraint Price
Implicit expresions of static and incident wave pressures over the instantaneous wetted surface of ships. [In Fluid-Structure Interactions: special issue in honour of Professor W. Geraint Price
To predict a ship’s behaviour, adopting either a partial or comprehensive non-linear hydrodynamic method, requires accurate information of incident wave and static pressure on any location over the instantaneous wetted hull surface. In this study an implicit formula to evaluate the non-linear hydrostatic and incident wave dynamic pressures acting on a ship travelling in linear or second-order deep water incident waves is deduced based on a wave mapping method. The accuracy and efficiency of the numerical scheme of study employing this formula is verified and validated through comparisons with a simple extrapolation (or stretching) approach, Wheeler stretching methods, and with a fifth-order Stokes’ wave theory, which is assumed to embody a more complete solution. More accurate predictions of the dynamic pressure are achieved from the proposed second-order wave mapping method. However, as a practical approach, the presented second-order wave Wheeler stretching method can be considered as a reasonable approximation to the proposed wave mapping method.
mapping method, non-linear, second order, stokes waves, irregular waves, wave pressure formula, deep water waves, hydrostatic, hydrodynamic, incident waves, Wheeler stretching
1475-0902
239-256
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.
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. (2009) Implicit expresions of static and incident wave pressures over the instantaneous wetted surface of ships. [In Fluid-Structure Interactions: special issue in honour of Professor W. Geraint Price. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 223 (3), 239-256. (doi:10.1243/14750902JEME162).

Record type: Article

Abstract

To predict a ship’s behaviour, adopting either a partial or comprehensive non-linear hydrodynamic method, requires accurate information of incident wave and static pressure on any location over the instantaneous wetted hull surface. In this study an implicit formula to evaluate the non-linear hydrostatic and incident wave dynamic pressures acting on a ship travelling in linear or second-order deep water incident waves is deduced based on a wave mapping method. The accuracy and efficiency of the numerical scheme of study employing this formula is verified and validated through comparisons with a simple extrapolation (or stretching) approach, Wheeler stretching methods, and with a fifth-order Stokes’ wave theory, which is assumed to embody a more complete solution. More accurate predictions of the dynamic pressure are achieved from the proposed second-order wave mapping method. However, as a practical approach, the presented second-order wave Wheeler stretching method can be considered as a reasonable approximation to the proposed wave mapping method.

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Published date: August 2009
Keywords: mapping method, non-linear, second order, stokes waves, irregular waves, wave pressure formula, deep water waves, hydrostatic, hydrodynamic, incident waves, Wheeler stretching
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 68709
URI: http://eprints.soton.ac.uk/id/eprint/68709
ISSN: 1475-0902
PURE UUID: 313b03a1-d7e7-40ce-b319-171f43d550d9
ORCID for D.A. Hudson: ORCID iD orcid.org/0000-0002-2012-6255
ORCID for P. Temarel: ORCID iD orcid.org/0000-0003-2921-1242

Catalogue record

Date deposited: 16 Sep 2009
Last modified: 14 Mar 2024 02:38

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Contributors

Author: S.X. Du
Author: D.A. Hudson ORCID iD
Author: W.G. Price
Author: P. Temarel ORCID iD

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