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Straightforward approximation of the translating and pulsating free surface Green function

Straightforward approximation of the translating and pulsating free surface Green function
Straightforward approximation of the translating and pulsating free surface Green function
The translating and pulsating free surface Green function represents the velocity potential of a three-dimensional free surface source advancing in waves. This function involves singular wave integral, which is troublesome in numerical computation. In the present study, a regular wave integral approach is developed for the discretisation of the singular wave integral in a whole space harmonic function expansion, which permits the free surface wave produced by the fluid motion to be decomposed by plane regular propagation waves. This approximation gives rise to a simple and straightforward evaluation of the Green function. The algorithm is validated from comparisons between present numerical results and existing numerical data.
free surface Green function, numerical approximation, surface gravity wave, hydrodynamics
1531-3492
2767-2783
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Chen, Zhi-Min (2014) Straightforward approximation of the translating and pulsating free surface Green function. Discrete and Continuous Dynamical Systems - Series B, 19 (9), 2767-2783. (doi:10.3934/dcdsb.2014.19.2767).

Record type: Article

Abstract

The translating and pulsating free surface Green function represents the velocity potential of a three-dimensional free surface source advancing in waves. This function involves singular wave integral, which is troublesome in numerical computation. In the present study, a regular wave integral approach is developed for the discretisation of the singular wave integral in a whole space harmonic function expansion, which permits the free surface wave produced by the fluid motion to be decomposed by plane regular propagation waves. This approximation gives rise to a simple and straightforward evaluation of the Green function. The algorithm is validated from comparisons between present numerical results and existing numerical data.

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More information

Published date: September 2014
Keywords: free surface Green function, numerical approximation, surface gravity wave, hydrodynamics
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 368890
URI: http://eprints.soton.ac.uk/id/eprint/368890
ISSN: 1531-3492
PURE UUID: c4701369-f772-4a5e-a7df-49c319d6236d

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Date deposited: 17 Sep 2014 13:36
Last modified: 27 Apr 2022 08:36

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Author: Zhi-Min Chen

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