Experimental evidence of the modulation of a plane wave to oblique perturbations and generation of rogue waves in finite water depth

被引:38
|
作者
Toffoli, A. [1 ,2 ]
Fernandez, L. [3 ]
Monbaliu, J. [3 ]
Benoit, M. [4 ]
Gagnaire-Renou, E. [4 ]
Lefevre, J. M. [5 ]
Cavaleri, L. [6 ]
Proment, D. [7 ]
Pakozdi, C. [8 ]
Stansberg, C. T. [8 ]
Waseda, T. [9 ]
Onorato, M. [10 ,11 ]
机构
[1] Univ Plymouth, Sch Marine Sci & Engn, Plymouth PL4 8AA, Devon, England
[2] Swinburne Univ Technol, Ctr Ocean Engn Sci & Technol, Hawthorn, Vic 3122, Australia
[3] Katholieke Univ Leuven, Dept Civil Engn, B-3001 Heverlee, Belgium
[4] Univ Paris Est, St Venant Lab Hydraul, Joint Res Unit EDF R&D, CETMEF,Ecole Ponts ParisTech, F-78401 Chatou, France
[5] Meteo France, Div Marine & Oceanog, F-31057 Toulouse, France
[6] Inst Marine Sci, I-30122 Venice, Italy
[7] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England
[8] Marintek, N-7450 Trondheim, Norway
[9] Univ Tokyo, Grad Sch Frontier Sci, Kashiwa, Chiba 2778563, Japan
[10] Univ Turin, Dipartimento Fis, I-10125 Turin, Italy
[11] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy
关键词
NONLINEAR SCHRODINGER-EQUATION; RANDOM DIRECTIONAL WAVES; SURFACE GRAVITY-WAVES; STATISTICAL PROPERTIES; NUMERICAL SIMULATIONS; FREQUENCY DOWNSHIFT; FREAK WAVES; DEEP-WATER; INSTABILITIES; EVOLUTION;
D O I
10.1063/1.4821810
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present a laboratory experiment in a large directional wave basin to discuss the instability of a plane wave to oblique side band perturbations in finite water depth. Experimental observations, with the support of numerical simulations, confirm that a carrier wave becomes modulationally unstable even for relative water depths k(0)h < 1.36 (with k the wavenumber of the plane wave and h the water depth), when it is perturbed by appropriate oblique disturbances. Results corroborate that the underlying mechanism is still a plausible explanation for the generation of rogue waves in finite water depth. (C) 2013 AIP Publishing LLC.
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页数:7
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