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New analytical solutions to water wave diffraction by vertical truncated cylinders

Authors :
Ai-jun Li
Yong Liu
Source :
International Journal of Naval Architecture and Ocean Engineering, Vol 11, Iss 2, Pp 952-969 (2019)
Publication Year :
2019
Publisher :
Elsevier, 2019.

Abstract

This study develops new analytical solutions to water wave diffraction by vertical truncated cylinders in the context of linear potential theory. Three typical truncated surface-piercing cylinders, a submerged bottom-standing cylinder and a submerged floating cylinder are examined. The analytical solutions utilize the multi-term Galerkin method, which is able to model the cube-root singularity of fluid velocity near the edges of the truncated cylinders by expanding the fluid velocity into a set of basis function involving the Gegenbauer polynomials. The convergence of the present analytical solution is rapid, and a few truncated numbers in the series of the basis function can yield results of six-figure accuracy for wave forces and moments. The present solutions are in good agreement with those by a higher-order BEM (boundary element method) model. Comparisons between present results and experimental results in literature and results by Froude-Krylov theory are conducted. The variation of wave forces and moments with different parameters are presented. This study not only gives a new analytical approach to wave diffraction by truncated cylinders but also provides a reliable benchmark for numerical investigations of wave diffraction by structures. Keywords: Wave diffraction, Truncated cylinders, Multi-term galerkin method, Cube-root singularity, Wave forces

Details

Language :
English
ISSN :
20926782
Volume :
11
Issue :
2
Database :
Directory of Open Access Journals
Journal :
International Journal of Naval Architecture and Ocean Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.b861d08c02eb43b6b9d3eb01912ea1fa
Document Type :
article
Full Text :
https://doi.org/10.1016/j.ijnaoe.2019.04.006