Back to Search Start Over

A semi-analytical theory for water waves interacting with a submerged/suspended circular cylinder patch.

Authors :
Hu, Jie
Lin, Y.H.
Maza, Maria
Source :
Ocean Engineering. Mar2022, Vol. 247, pN.PAG-N.PAG. 1p.
Publication Year :
2022

Abstract

Semi-analytical solutions are proposed to investigate the effects of a submerged/suspended circular patch on water waves scattering. The patch is simplified to periodic cylindrical lattices with a strong contrast between the cylinder spacing and the typical wavelength. The homogenization theory is employed to derive the effective equations on the macro-scale (wavelength), in which the constitutive coefficients are obtained by numerically solving the micro-scale (cylinder spacing) problem in a unit cell. To simulate the turbulence in the circular cylinder patch, a bulk eddy viscosity model is applied through balancing the time-averaged energy over a wave period. Eigenfunction expansions method is used to solve the macro-scale problem, where a complex frequency dispersion relation is solved by the multiple successive approximation technique. Comparisons between the laboratory measurements and the waves/submerged circular patch model results show acceptable agreements for small amplitude waves. The waves/suspended circular patch model is not checked experimentally due to the lack of data. However, this suspended patch model is shown to reproduce the results of wave/emergent circle forest problem. A comprehensive comparison between the submerged, suspended and emergent circular patches on wave scattering is also presented. • Semi-analytical solutions are presented for water waves scattering by a submerged/suspended circular patch as the main creatively work of this study. • The present solutions have been checked with laboratory measurements and other solutions from previous studies. • The solutions are simple and allow straightforward numerical implementations. No additional fitting coefficient is needed in the model computation. • A comprehensive analysis on wave scattering by different forms of circular patches has been discussed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00298018
Volume :
247
Database :
Academic Search Index
Journal :
Ocean Engineering
Publication Type :
Academic Journal
Accession number :
155428347
Full Text :
https://doi.org/10.1016/j.oceaneng.2022.110667