Water wave transmission by an array of floating discs

被引:68
作者
Bennetts, L. G. [1 ]
Williams, T. D. [2 ]
机构
[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia
[2] Nansen Environm & Remote Sensing Ctr, N-5006 Bergen, Norway
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2015年 / 471卷 / 2173期
基金
澳大利亚研究理事会;
关键词
water waves; wave scattering; wave-structure interactions; ICE INTERACTIONS; HYDROELASTIC RESPONSE; ELASTIC DISCS; OCEAN WAVES; ATTENUATION; SEA; SCATTERING; TRANSECTS; FLOE;
D O I
10.1098/rspa.2014.0698
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
An experimental validation of theoretical models of regular-water-wave transmission through arrays of floating discs is presented. The experiments were conducted in a wave basin. The models are based on combined potential-flow and thin-plate theories, and the assumption of linear motions. A low-concentration array, in which discs are separated by approximately a disc diameter in equilibrium, and a high-concentration array, in which adjacent discs are almost touching in equilibrium, were used for the experiments. The proportion of incident-wave energy transmitted by the discs is presented as a function of wave period, and for different wave amplitudes. Results indicate the models predict wave-energy transmission accurately for small-amplitude waves and low-concentration arrays. Discrepancies for large-amplitude waves and high-concentration arrays are attributed to wave overwash of the discs and collisions between discs. Validation of model predictions of a solitary disc's rigid-body motions are also presented.
引用
收藏
页数:18
相关论文
共 41 条
[1]  
Abramowitz M., 1964, Handbook of mathematical functions with formulas, graphs, and mathematical tables, DOI DOI 10.1119/1.15378
[2]   UNIFIED APPROACH TO SHORT-TIME FOURIER-ANALYSIS AND SYNTHESIS [J].
ALLEN, JB ;
RABINER, LR .
PROCEEDINGS OF THE IEEE, 1977, 65 (11) :1558-1564
[3]  
[Anonymous], 2006, Encyclopedia of Mathematics and its Applications
[4]   Model sensitivity analysis of scattering-induced attenuation of ice-coupled waves [J].
Bennetts, L. G. ;
Squire, V. A. .
OCEAN MODELLING, 2012, 45-46 :1-13
[5]   A three-dimensional model of wave attenuation in the marginal ice zone [J].
Bennetts, L. G. ;
Peter, M. A. ;
Squire, V. A. ;
Meylan, M. H. .
JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 2010, 115
[6]   On the calculation of an attenuation coefficient for transects of ice-covered ocean [J].
Bennetts, Luke G. ;
Squire, Vernon A. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2137) :136-162
[7]  
Berry M. V., 1997, European Journal of Physics, V18, P222, DOI 10.1088/0143-0807/18/3/017
[8]   Bloch mode scattering matrix methods for modeling extended photonic crystal structures. I. Theory [J].
Botten, LC ;
White, TP ;
Asatryan, AA ;
Langtry, TN ;
de Sterke, CM ;
McPhedran, RC .
PHYSICAL REVIEW E, 2004, 70 (05) :13
[9]   TIME FREQUENCY-DISTRIBUTIONS - A REVIEW [J].
COHEN, L .
PROCEEDINGS OF THE IEEE, 1989, 77 (07) :941-981
[10]   Wave buoy measurements at the Antarctic sea ice edge compared with an enhanced ECMWF WAM: Progress towards global waves-in-ice modelling [J].
Doble, Martin J. ;
Bidlot, Jean-Raymond .
OCEAN MODELLING, 2013, 70 :166-173