Journal
INTERNATIONAL JOURNAL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING
Volume 11, Issue 2, Pages 952-969Publisher
SOC NAVAL ARCHITECTS KOREA
DOI: 10.1016/j.ijnaoe.2019.04.006
Keywords
Wave diffraction; Truncated cylinders; Multi-term galerkin method; Cube-root singularity; Wave forces
Categories
Funding
- Natural Science Foundation of China [51725903, 51490675]
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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. (C) 2019 Society of Naval Architects of Korea. Production and hosting by Elsevier B.V.
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