EA模型在海洋的速度横向时空互相关函数中的应用  

Application of the EA model to the velocity transversal space-time cross-correlation functions measured in the ocean

作　　者：梁长荣 尚晓东 陈桂英 何晓舟 童彭尔 Changrong Liang;Xiaodong Shang;Guiying Chen;Xiaozhou He;Penger Tong(State Key Laboratory of Tropical Oceanography,South China Sea Institute of Oceanology,Chinese Academy of Sciences,Guangzhou,510301,China;School of Mechanical Engineering and Automation,Harbin Institute of Technology(Shenzhen),Shenzhen,518055,China;Department of Physics,Hong Kong University of Science and Technology,Hong Kong,China)

机构地区：[1]State Key Laboratory of Tropical Oceanography,South China Sea Institute of Oceanology,Chinese Academy of Sciences,Guangzhou,510301,China [2]School of Mechanical Engineering and Automation,Harbin Institute of Technology(Shenzhen),Shenzhen,518055,China [3]Department of Physics,Hong Kong University of Science and Technology,Hong Kong,China

出　　处：《Acta Mechanica Sinica》2024年第3期54-60,共7页力学学报（英文版）

基　　金：supported by the National Key Research and Development Program of China (Grant No.2021YFC3101300);the innovation project of Innovative Academy of Marine Information Technology,Chinese Academy of Sciences (Grant No.CXBS202101);the National Natural Science Foundation of China (Grant Nos.41876022,12372216,41630970,and 41806033);the Science,Technology and Innovation Commission of Shenzhen Municipality (Grant No.GXWD20220818113020001);the Science and Technology Program of Guangzhou (Grant No.202102020707).

摘　　要：椭圆近似(EA)模型是从单个点的时间波动数据中推断空间波动数据的重要方法,它已在室内实验剪切场的纵向时空互相关函数C(r,τ)得到验证并被广泛应用.在这里,我们研究了EA模型在海洋流场中的有效性,并介绍了其在横向时空互相关函数G(r,τ)中的应用.结果表明,EA模型在海洋的速度场中是有效的,即G(r,τ)具有G(r_(E),0)的尺度形式,其中r_(E)=[(r-Uτ)^(2)+(Vτ)^2]^(1/2),U和V是与内波垂直相速度相关的两个特征速度.基于EA模型,我们可以获得海洋的垂直波数能谱,并估计海洋的泰勒微尺度和雷诺数.The elliptical approximation(EA)model is an important method for deducing spatial fluctuations from the temporal fluctuations at a single point.It has been extensively examined and used in shear fields of desktop experiments for the longitudinal space-time cross-correlation functions C(r,τ).Here we examine the EA model in the flow field of the ocean and present its application to the transversal space-time cross-correlation functions G(r,τ).The result shows that EA model is valid for the velocity field of the ocean,that is,G(r,τ)has the scaling form of G(r_(E),0)with r_(E)=[(r-Uτ)^(2)+(Vτ)^2]^(1/2),where U and V are the velocities associated with the vertical phase velocities of the internal waves.Based on the EA model,we can obtain the vertical wavenumber energy spectrum of the ocean and estimate the transversal Taylor micro-scale and Reynolds number.

关 键 词：Elliptical approximation model Spatial fluctuations Temporal fluctuations Space-time cross-correlation functions Taylormicro-scale 

分 类 号：O174[理学—数学]