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非线性流函数在实验风浪场计算中的应用
引用本文:蒋昌波,杨扬,汤寒松.非线性流函数在实验风浪场计算中的应用[J].热带海洋学报,2019,38(1):19-26.
作者姓名:蒋昌波  杨扬  汤寒松
作者单位:1. 水利工程学院, 长沙理工大学, 湖南 长沙 4101142. 土木工程学院, 纽约城市大学, 美国 纽约 10031
基金项目:国家自然科学基金项目(51239001)
摘    要:风作用于水面产生风浪, 其中由于波流紊动产生的动量和能量的交换机制是一个很复杂的过程。风应力一般用来描述这种能量交换, 可以分为3个部分: 水面的剪切力、波生应力以及紊动应力。采用一种有效的非线性波流分离方法——NSFM(Nonlinear Stream Function Method)对波流运动的动量和能量输移进行定性描述。构造能够有效表达非线性波浪的解析流函数, 摄动求解使其满足拉普拉斯方程、动力边界条件和运动边界条件, 结合实验室风浪数据, 分离出波生速度场。通过交叉谱分析, 得到波生雷诺应力在不同风速下对风应力的贡献。结果表明: NSFM对不同工况条件下的风浪的处理具有较高的精度, 模型适应性良好; 且风速越大, 波生应力沿着水深衰减得越快, 且自由面波生应力在动量输移中的比重会逐渐减弱。

关 键 词:风浪  波流分离  流函数  
收稿时间:2018-04-11
修稿时间:2018-06-22

An application of nonlinear stream function in analysis of experimental wind-wave field
Changbo JIANG,Yang YANG,Hansong TANG.An application of nonlinear stream function in analysis of experimental wind-wave field[J].Journal of Tropical Oceanography,2019,38(1):19-26.
Authors:Changbo JIANG  Yang YANG  Hansong TANG
Institution:1. School of Hydraulic Engineering, Changsha University of Science & Technology, Changsha 410114, China;2. Department of Civil Engineering, The City College of New York, New York 10031, USA
Abstract:The wind on the water surface can create wind waves. The exchange mechanism of momentum and energy due to the turbulence of wave current is a complicated process. Wind stress is generally used to describe this energy exchange, and can be divided into three components: shear stress, wave induced stress and turbulent stress. An effective nonlinear wave current separation method, namely, the Nonlinear Stream Function Method (NSFM), is used to qualitatively describe the momentum and energy transports between wave and current. An analytical stream function is constructed, which can effectively express nonlinear waves and satisfies the Laplace equation, the boundary condition and the kinematic boundary condition of the water surface, separating the wave-induced velocity field based on the laboratory wind-wave data. Through the cross-spectral technique, the contribution of wave-induced Reynolds stress to wind stress at different wind speed is obtained. The results are as follows. NSFM has higher accuracy and better applicability in treating wind waves under different working conditions. With the increase of wind speed, wave-induced stress decays faster along water depth, and the ratio of wave-induced stress at the free surface to the momentum transport mechanism should be gradually weakened.
Keywords:wind wave  wave-current separation  stream function  
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