arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0809.2896physics.flu-dyn
收藏

三维槽道湍流中的主模态

Master-modes in 3D turbulent channel flow

Sergei Chernyshenko, Maksym Bondarenko

摘要:

湍流场可以展开成一组基本函数的级数。这类级数的项通常称为众数。一个主(或决定)模式集是这些模式的一个子集,它的时间历程唯一地决定了整个湍流的时间历程,只要这个流动是发展的。在目前的工作中,存在的主模式集数值证明了湍流槽道流。估计了主模式集的最小大小和从主模式集历史恢复整个流的过程的速率。与最小主模态集对应的速度场被发现是整个流场中平均速度的良好近似。涉及速度导数的平均特性在非常靠近壁的地方偏离,而主模两点相关性表现出不切实际的振荡。这可以通过使用比最小主模式集更大的主模式集来改进。近壁条纹被发现包含在对应于最小主模集的速度场中,并且至少对于纵向涡度结构的大尺度部分也是如此。一个数据库包含的时间历史的主模式集被证明是一个有效的工具,用于调查罕见的事件在湍流。特别是,根据对数据库的分析,发现了一个类似行波的物体。在http://www.dnsdata.afm.ses.soton.ac.uk/上可以在线获得湍流通道流的时间历史的两个主模式集数据库。所提供的服务包括用户上传的代码在服务器上运行并访问数据的设施。

英文摘要:

Turbulent flow fields can be expanded into a series in a set of basic functions. The terms of such series are often called modes. A master- (or determining) mode set is a subset of these modes, the time history of which uniquely determines the time history of the entire turbulent flow provided that this flow is developed. In the present work the existence of the master-mode-set is demonstrated numerically for turbulent channel flow. The minimal size of a master-mode set and the rate of the process of the recovery of the entire flow from the master-mode set history are estimated. The velocity field corresponding to the minimal master-mode set is found to be a good approximation for mean velocity in the entire flow field. Mean characteristics involving velocity derivatives deviate in a very close vicinity to the wall, while master-mode two-point correlations exhibit unrealistic oscillations. This can be improved by using a larger than minimal master-mode set. The near-wall streaks are found to be contained in the velocity field corresponding to the minimal master-mode set, and the same is true at least for the large-scale part of the longitudinal vorticity structure. A database containing the time history of a master-mode set is demonstrated to be an efficient tool for investigating rare events in turbulent flows. In particular, a travelling-wave-like object was identified on the basis of the analysis of the database. Two master-mode-set databases of the time history of a turbulent channel flow are made available online at http://www.dnsdata.afm.ses.soton.ac.uk/. The services provided include the facility for the code uploaded by a user to be run on the server with an access to the data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑