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An analytical approach for the solution of the hydrodynamic diffraction by arrays of elliptical cylinders

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National Technical University of Athens   

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An analytical approach for the solution of the hydrodynamic diffraction by arrays of elliptical cylinders (EN)
Chatjigeorgiou, IK (EN)
Mavrakos, SA (EN)
journalArticle (EN)
2014-03-01T01:32:39Z
2010 (EN)
This paper presents a semi-analytical solution methodology for the linear hydrodynamic diffraction induced by arrays of elliptical cylinders subjected to incident waves. The solution of the Laplace equation in elliptic coordinates for both the incident and the diffracted waves is formulated analytically in terms of the even and odd periodic and radial Mathieu functions. The main contribution herein is the employment of the so-called addition theorem for Mathieu functions, which for the purposes of the present work is properly modified and eventually expressed in terms of the even and odd periodic and radial Mathieu functions. (C) 2009 Elsevier Ltd. All rights reserved. (EN)
Engineering, Ocean (EN)
Oceanography (EN)
Cylinders (shapes) (EN)
Elliptic coordinates (EN)
Analytical approach (EN)
Fluid dynamics (EN)
diffraction (EN)
Hydrodynamic diffraction (EN)
Mathieu functions (EN)
Odd-periodic (EN)
Diffracted waves (EN)
Addition theorem (EN)
Incident waves (EN)
Hydrodynamics (EN)
Laplace equation (EN)
Linear hydrodynamics (EN)
hydrodynamics (EN)
Elliptical cylinders (EN)
Elliptical cylinder (EN)
Semi-analytical solution (EN)
cylinder (EN)
fluid mechanics (EN)
Laplace transform (EN)
Addition theorems (EN)
Applied Ocean Research (EN)
English
ELSEVIER SCI LTD (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
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