Experimental study on modulational instability and evolution of crescent waves  

作　　者：Ya-long ZHOU Zhi-li ZOU Kai YAN 

机构地区：[1]State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology

出　　处：《Water Science and Engineering》2012年第4期419-427,共9页水科学与水工程（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.51079024);the National Foundation for Creative Research Groups(Grant No.50921001)

摘　　要：A series of experiments on the instability of steeP water wave trains in water with finite water depths and infinite water depths in a wide wave basin were performed. It was found that under the coupled development of modulational instability and class-Ⅱ instability, the initial two-dimensional steep wave trains evolved into three＇dimensional crescent waves, followed by the occurrence of disordered water surfaces, and that the wave energy transferred to sidebands in the amplitude spectrum of the water surface elevation. The results also show that water depth has a significant effect on the growth of modulational instability and the evolutiin of crescent waves. The larger the water depth, the more quickly the modulational instability suppresses class-II instability.A series of experiments on the instability of steeP water wave trains in water with finite water depths and infinite water depths in a wide wave basin were performed. It was found that under the coupled development of modulational instability and class-Ⅱ instability, the initial two-dimensional steep wave trains evolved into three＇dimensional crescent waves, followed by the occurrence of disordered water surfaces, and that the wave energy transferred to sidebands in the amplitude spectrum of the water surface elevation. The results also show that water depth has a significant effect on the growth of modulational instability and the evolutiin of crescent waves. The larger the water depth, the more quickly the modulational instability suppresses class-II instability.

关 键 词：modulational instability class-H instability crescent wave amplitude spectrum wave energy transfer 

分 类 号：TV139.2[水利工程—水力学及河流动力学]