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Harmonic function expansion for translating Green functions and dissipative free-surface waves

Harmonic function expansion for translating Green functions and dissipative free-surface waves
Harmonic function expansion for translating Green functions and dissipative free-surface waves
Three-dimensional gravity free-surface waves involving energy dissipation are examined. The singular wave integral from a non-dissipative translating Green function is approximated as a regular wave integral of a dissipative Green function. The regular wave integral method enables a dissipative free-surface wave to be derived from an expansion of whole-space harmonic functions. The new approximation technique, applicable to dissipative and non-dissipative free-surface wave problems, simplifies the numerical simulations of three-dimensional Green functions and free-surface waves.
potential flow, translating green function, free-surface waves, energy dissipation
0165-2125
282-294
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Chen, Zhi-Min (2013) Harmonic function expansion for translating Green functions and dissipative free-surface waves. Wave Motion, 50, 282-294. (doi:10.1016/j.wavemoti.2012.09.005).

Record type: Article

Abstract

Three-dimensional gravity free-surface waves involving energy dissipation are examined. The singular wave integral from a non-dissipative translating Green function is approximated as a regular wave integral of a dissipative Green function. The regular wave integral method enables a dissipative free-surface wave to be derived from an expansion of whole-space harmonic functions. The new approximation technique, applicable to dissipative and non-dissipative free-surface wave problems, simplifies the numerical simulations of three-dimensional Green functions and free-surface waves.

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More information

Published date: 1 March 2013
Keywords: potential flow, translating green function, free-surface waves, energy dissipation
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 345333
URI: https://eprints.soton.ac.uk/id/eprint/345333
ISSN: 0165-2125
PURE UUID: 63e18f30-da86-4bc7-9384-282abef09f9f

Catalogue record

Date deposited: 19 Nov 2012 14:46
Last modified: 16 Jul 2019 21:49

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