Observation of resonant interactions among surface gravity waves

被引:30
作者
Bonnefoy, F. [1 ]
Haudin, F. [2 ]
Michel, G. [3 ]
Semin, B. [3 ]
Humbert, T. [4 ]
Aumaitre, S. [4 ]
Berhanu, M. [2 ]
Falcon, E. [2 ]
机构
[1] Ecole Cent Nantes, LHEEA, UMR CNRS 6598, F-44321 Nantes, France
[2] Univ Paris Diderot, Sorbonne Paris Cite, MSC, UMR CNRS 7057, F-75013 Paris, France
[3] Ecole Normale Super, LPS, UMR CNRS 8550, F-75005 Paris, France
[4] Univ Paris Scalay, CEA Saclay, SPEC, DRF,UMR CNRS 3680, F-91191 Gif Sur Yvette, France
关键词
surface gravity waves; waves/free-surface flows; HAMILTONIAN THEORY; WATER-WAVES; DEEP-WATER; INSTABILITIES; EVOLUTION; TRAINS;
D O I
10.1017/jfm.2016.576
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We experimentally study resonant interactions of oblique surface gravity waves in a large basin. Our results strongly extend previous experimental results performed mainly for perpendicular or collinear wave trains. We generate two oblique waves crossing at an acute angle, while we control their frequency ratio, steepnesses and directions. These mother waves mutually interact and give birth to a resonant wave whose properties (growth rate, resonant response curve and phase locking) are fully characterized. All our experimental results are found in good quantitative agreement with four-wave interaction theory with no fitting parameter. Off-resonance experiments are also reported and the relevant theoretical analysis is conducted and validated.
引用
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页数:12
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