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An ordinary differential equation for the 2D transient free-surface Green functions

An ordinary differential equation for the 2D transient free-surface Green functions
An ordinary differential equation for the 2D transient free-surface Green functions
Based on the Laplace transform an ordinary differential equation for the two-dimensional time-domain free-surface Green function in ship hydrodynamics is presented. The results for 2D Green function and its horizontal derivative are fifth-order ODEs and the vertical derivative satisfies a fourth-order ODE. All of these results may be used to accelerate the numerical computations for the time-domain BEM in marine hydrodynamics.
1001-6058
24-28
Duan, Wen-yang
e402b45b-0e49-4421-8d9c-2f6313d1bf54
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Duan, Wen-yang
e402b45b-0e49-4421-8d9c-2f6313d1bf54
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Duan, Wen-yang and Price, W.G. (2002) An ordinary differential equation for the 2D transient free-surface Green functions. Journal of Hydrodynamics, 14 (2), 24-28.

Record type: Article

Abstract

Based on the Laplace transform an ordinary differential equation for the two-dimensional time-domain free-surface Green function in ship hydrodynamics is presented. The results for 2D Green function and its horizontal derivative are fifth-order ODEs and the vertical derivative satisfies a fourth-order ODE. All of these results may be used to accelerate the numerical computations for the time-domain BEM in marine hydrodynamics.

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Published date: 2002

Identifiers

Local EPrints ID: 22239
URI: http://eprints.soton.ac.uk/id/eprint/22239
ISSN: 1001-6058
PURE UUID: b034e659-452c-4444-ac76-d14dc51dfef0

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Date deposited: 08 Feb 2007
Last modified: 15 Jul 2019 19:23

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