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
282-294
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
1 March 2013
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, .
(doi:10.1016/j.wavemoti.2012.09.005).
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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Published date: 1 March 2013
Keywords:
potential flow, translating green function, free-surface waves, energy dissipation
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 345333
URI: http://eprints.soton.ac.uk/id/eprint/345333
ISSN: 0165-2125
PURE UUID: 63e18f30-da86-4bc7-9384-282abef09f9f
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Date deposited: 19 Nov 2012 14:46
Last modified: 14 Mar 2024 12:23
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Author:
Zhi-Min Chen
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