TURBULENCE AND THE DYNAMICS OF COHERENT STRUCTURES .1. COHERENT STRUCTURES
TURBULENCE AND THE DYNAMICS OF COHERENT STRUCTURES .1. COHERENT STRUCTURES
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DOI：
10.1090/qam/910462
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发表时间：
1987-10-01
影响因子：
0.8
通讯作者：
SIROVICH, L
中科院分区：
文献类型：
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作者：
SIROVICH, L
1.第一至第三部分导言。最近几年的两个独立的发展改变了Taylor建立的湍流基本统计框架[1]，从实验室中有大量的信息暗示相干结构的存在并揭示了它们的一些性质[2]，在理论方面，动力系统理论对湍流的最新应用表明，这种流动存在于相对低维的流形或吸引子[3]。然而，首先，还没有出现将相干结构纳入湍流理论的通用框架。在第二种情况下，直接的手段还没有提出这些吸引子的描述。本文提出了一个统一处理这两个问题的程序，其中一个重要的组成部分是Lumley [4]（见[5]）的基本思想，即空间速度相关性可以正交分解，作为识别相干结构的一种合理和定量的方法。贝克韦尔和Lumley [6]将这种方法应用于边界层流动，Payne和Lumley [7]将这种方法应用于尾流。最近，它已被应用于射流[8]和槽道流动的数值模拟[9]。由于缺乏完整和充分解析的数据，这一程序的使用受到阻碍。今天的实验技术和数值数据已经大大弥补了这个问题。然而，由于该方法的费力性质，它仍然不适合处理已成为可用的大型数据集。因此，通常被迫简化为一维计算。在Pt中提出的方法。我克服了这一缺点，使完全三维流动的治疗。
1. Introduction to parts I—III. Two separate developments in recent years have altered the basic statistical framework of turbulence established by Taylor [1], From the laboratory there is abundant information implying the existence of coherent structures and revealing something of their nature [2], On the theoretical side recent applications of dynamical systems theory to turbulence suggest that such flows reside on relatively low-dimensional manifolds or attractors [3]. However, in the first instance, no general framework incorporating coherent structures into turbulence theory has emerged. In the second instance, direct means have not been put forward for the description of these attractors. The present papers present a program for dealing with both of these issues in a unified manner.An essential ingredient of the treatment given here is the basic idea by Lumley [4](see also [5]) that spatial velocity correlations be orthogonally decomposed as a rational and quantitative method of identifying coherent structures. This approach has been applied to boundary layer flow by Bakewell and Lumley [6] and to wake flows by Payne and Lumley [7], More recently it has been applied to jet flows [8] and to the numerical simulation of channel flows [9]. The use of this procedure has been hampered by the lack of complete and sufficiently resolved data. Present day experimental techniques and numerical data have greatly remedied this problem. However, due to the laborious nature of the method it has remained unsuitable for dealing with the large data sets which have become available. As a result reduction to a one-dimensional calculation is usually forced. The methods presented in Pt. I overcome this shortcoming and make fully three-dimensional flows accessible to treatment.