TY - JOUR
T1 - Evolution of wide-spectrum unidirectional wave groups in a tank
T2 - an experimental and numerical study
AU - Shemer, L.
AU - Goulitski, K.
AU - Kit, E.
N1 - Funding Information:
This study is supported by a grant # 964/05 from the Israeli Science Foundation. The authors gratefully acknowledge the European Community support under the Access to Research Infrastructures Action of the Human Potential Program (contract HPRI-CT-2001-00157) that made possible experiments in the Large Wave Channel (GWK) of the Coastal Research Center (FZK) in Hanover.
PY - 2007/3
Y1 - 2007/3
N2 - Evolution of unidirectional nonlinear wave groups with wide spectra is studied experimentally and numerically. As an example of such an evolution, focusing of an initially wide wave train that is modulated both in amplitude and in frequency, to a single steep wave at a prescribed location along the laboratory wave tank is investigated. When numerous frequency harmonics arrive at the focusing location in phase, a very wave steep single emerges. The experimental study was carried out in two wave flumes that differ in size by an order of magnitude: a 330 m long Large Wave Channel in Hanover, and in 18 m long Tel-Aviv University wave tank. The spatial version of the Zakharov equation was applied in the numerical simulations. Detailed quantitative comparison is carried out between the experimental results and the numerical simulations. Spectra of the 2nd order bound waves are calculated using the theoretical model adopted. It is demonstrated that with the contribution of bound waves accounted for, a very good agreement between experiments and simulations is achieved.
AB - Evolution of unidirectional nonlinear wave groups with wide spectra is studied experimentally and numerically. As an example of such an evolution, focusing of an initially wide wave train that is modulated both in amplitude and in frequency, to a single steep wave at a prescribed location along the laboratory wave tank is investigated. When numerous frequency harmonics arrive at the focusing location in phase, a very wave steep single emerges. The experimental study was carried out in two wave flumes that differ in size by an order of magnitude: a 330 m long Large Wave Channel in Hanover, and in 18 m long Tel-Aviv University wave tank. The spatial version of the Zakharov equation was applied in the numerical simulations. Detailed quantitative comparison is carried out between the experimental results and the numerical simulations. Spectra of the 2nd order bound waves are calculated using the theoretical model adopted. It is demonstrated that with the contribution of bound waves accounted for, a very good agreement between experiments and simulations is achieved.
KW - Bound (locked) waves
KW - Freak waves
KW - Nonlinear water waves
KW - Spatial evolution
KW - Zakharov equation
UR - http://www.scopus.com/inward/record.url?scp=33846252385&partnerID=8YFLogxK
U2 - 10.1016/j.euromechflu.2006.06.004
DO - 10.1016/j.euromechflu.2006.06.004
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AN - SCOPUS:33846252385
SN - 0997-7546
VL - 26
SP - 193
EP - 219
JO - European Journal of Mechanics, B/Fluids
JF - European Journal of Mechanics, B/Fluids
IS - 2
ER -