深水波中进动共振的数值模拟研究  

Numerical simulation of precession resonance in deep water waves

作　　者：赵扩 马小舟[1] 马玉祥[1] 董国海[1] ZHAO Kuo;MA Xiaozhou;MA Yuxiang;DONG Guohai(The State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116023,China)

机构地区：[1]大连理工大学海岸及近海工程国家重点实验室,辽宁大连116023

出　　处：《海洋工程》2018年第5期99-107,共9页The Ocean Engineering

基　　金：国家重点研发计划(2017YFC1404200);国家自然科学基金(51679031;51720105010);工业信息化部高技术船舶项目;天津大学水利工程仿真与安全国家重点实验室(HESS-1610)

摘　　要：进动(precession)共振是一种非线性共振相互作用,2016年才有学者对这一现象进行研究。采用非静压二维自由表面流模型模拟了深水条件下重力波的进动共振现象。通过边界造波的方法产生双色波,分析了触发进动共振的初始条件;探讨了进动共振在小振幅前提条件下发生的简化初始条件。数值模拟分析两组对称测点,对不同测点的波面、能量谱进行对比分析。数值结果表明:非静压二维自由表面流模型可以模拟进动共振现象,并且可以采用双色波作为条件来研究深水五波进动共振现象,进动共振需要一定的能量转化时间,进动共振发生的条件是三波组合的进动频率等于一个系统存在的非线性频率。Precession resonance is a nonlinear resonance interaction,which was studied by scholars in 2016.Bichromatic waves are generated by the method of boundary wave generation,and the initial condition of the precession resonance is analyzed.The simplified initial conditions of the precession resonance with small amplitude are discussed.Two groups of symmetrical points are analyzed by numerical simulation,and the surface elevation and energy spectrum of different measuring points are compared and analyzed.The numerical results show that the non-hydrostatic 2D free surface flow model can simulate the precession resonance phenomenon;bichromatic waves can be used as a condition to study the five-wave precession resonance in deep water;and precession resonance requires some energy conversion time.The precession resonance condition is that the precession frequency of the combination of traid wave components is equal to an existent nonlinear frequency in the system.

关 键 词：进动共振 双色波 非静压模型 表面重力波 

分 类 号：TV139.2[水利工程—水力学及河流动力学]