Three dimensional Green's function for ship motion at forward speed

The Green's function formulation for ship motion at forward speed contains double integrals with singularities in the path of integrations with respect to the wave number. In this study, the double integrals have been replaced by single integrals with the use of complex exponential integrals. I...

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Main Author: Matiur Rahman
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000813
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author Matiur Rahman
author_facet Matiur Rahman
author_sort Matiur Rahman
collection DOAJ
description The Green's function formulation for ship motion at forward speed contains double integrals with singularities in the path of integrations with respect to the wave number. In this study, the double integrals have been replaced by single integrals with the use of complex exponential integrals. It has been found that this analysis provides an efficient way of computing the wave resistance for three dimensional potential problem of ship motion with forward speed.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1990-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-cd9f49853bdd498494d6e671a2db48d62025-02-03T05:54:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113357959010.1155/S0161171290000813Three dimensional Green's function for ship motion at forward speedMatiur Rahman0Department of Applied Mathematics, Technical University of Nova Scotia, P.O. BOX 1000, Nova Scotia, Halifax B3J 2X4, CanadaThe Green's function formulation for ship motion at forward speed contains double integrals with singularities in the path of integrations with respect to the wave number. In this study, the double integrals have been replaced by single integrals with the use of complex exponential integrals. It has been found that this analysis provides an efficient way of computing the wave resistance for three dimensional potential problem of ship motion with forward speed.http://dx.doi.org/10.1155/S0161171290000813ship motionGreen's functionhydrodynamicswave resistance and wave responses.
spellingShingle Matiur Rahman
Three dimensional Green's function for ship motion at forward speed
International Journal of Mathematics and Mathematical Sciences
ship motion
Green's function
hydrodynamics
wave resistance and wave responses.
title Three dimensional Green's function for ship motion at forward speed
title_full Three dimensional Green's function for ship motion at forward speed
title_fullStr Three dimensional Green's function for ship motion at forward speed
title_full_unstemmed Three dimensional Green's function for ship motion at forward speed
title_short Three dimensional Green's function for ship motion at forward speed
title_sort three dimensional green s function for ship motion at forward speed
topic ship motion
Green's function
hydrodynamics
wave resistance and wave responses.
url http://dx.doi.org/10.1155/S0161171290000813
work_keys_str_mv AT matiurrahman threedimensionalgreensfunctionforshipmotionatforwardspeed