董国海

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教授

博士生导师

硕士生导师

任职 : 海洋油气工程国际合作联合实验室主任

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:建设工程学院

电子邮箱:ghdong@dlut.edu.cn

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Experimental investigation on the evolution of the modulation instability with dissipation

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论文类型:期刊论文

发表时间:2012-11-25

发表刊物:JOURNAL OF FLUID MECHANICS

收录刊物:SCIE、EI、Scopus

卷号:711

页面范围:101-121

ISSN号:0022-1120

关键字:ocean processes; surface gravity waves; wind-wave interactions

摘要:An experimental investigation focusing on the effect of dissipation on the evolution of the Benjamin-Feir instability is reported. A series of wave trains with added sidebands, and varying initial steepness, perturbed amplitudes and frequencies, are physically generated in a long wave flume. The experimental results directly confirm the stabilization theory of Segur et al. (J. Fluid Mech., vol. 539, 2005, pp. 229-271), i.e. dissipation can stabilize the Benjamin-Feir instability. Furthermore, the experiments reveal that the effect of dissipation on modulational instability depends strongly on the perturbation frequency. It is found that the effect of dissipation on the growth rates of the sidebands for the waves with higher perturbation frequencies is more evident than on those of waves with lower perturbation frequencies. In addition, numerical simulations based on Dysthe's equation with a linear damping term included, which is estimated from the experimental data, can predict the experimental results well if the momentum integral of the wave trains is conserved during evolution.