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arXiv 2005.02514physics.flu-dyn
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识别用于湍流修正的涡网络连接器

Identifying vortical network connectors for turbulent flow modification

Muralikrishnan Gopalakrishnan Meena, Kunihiko Taira

摘要:

我们引入了一个网络(图)理论社区为基础的框架来提取旋涡结构,在二维和三维各向同性湍流的旋涡相互作用的连接器的作用。该框架将涡间相互作用表示在一个网络上,其中涡元被视为节点,涡间相互作用被视为由诱导速度加权的边。我们确定密切相互作用的旋涡元素作为旋涡网络社区,通过社区检测算法。我们表明,社区间和社区内的相互作用可以用来分解网络节点的演化控制方程。这些基于社区的交互被用来识别其中具有最强和最弱交互的社区。这些旋涡群落分别被称为连接器和外围群落。我们展示了基于网络的结构的影响,以修改离散点涡的集合的动态。利用群落间的强相互作用,连接子群落可以通过施加多个脉冲扰动来显著地改变涡旋的集体动力学。然后,我们应用社区为基础的框架提取各向同性湍流的影响力的结构。从湍流中提取的连接器和外围社区分别类似于剪切层和涡核结构。在直接数值模拟中,通过对连接体施加脉冲扰动,分析了连接体结构对流场及其邻近涡结构的影响。与扰动最强涡管和剪切层区域的情况进行了比较。我们发现,扰动的连接器结构增强了当地的湍流混合超过所取得的其他情况下。

英文摘要:

We introduce a network (graph) theoretic community-based framework to extract vortical structures that serve the role of connectors for the vortical interactions in two- and three-dimensional isotropic turbulence. The present framework represents the vortical interactions on a network, where the vortical elements are viewed as the nodes and the vortical interactions are regarded as edges weighted by induced velocity. We identify closely interacting vortical elements as vortical network communities through community detection algorithms. We show that the inter- and intra-community interactions can be used to decompose the governing equation for the evolution of network nodes. These community-based interactions are used to identify the communities which have the strongest and weakest interactions amongst them. These vortical communities are referred to as connector and peripheral communities, respectively. We demonstrate the influence of the network-based structures to modify the dynamics of a collection of discrete point vortices. Taking advantage of the strong inter-community interactions, connector community can significantly modify the collective dynamics of vortices through the application of multiple impulse perturbations. We then apply the community-based framework to extract influential structures in isotropic turbulence. The connector and peripheral communities extracted from turbulent flows resemble shear-layer and vortex-core like structures, respectively. The influence of the connector structures on the flow field and their neighboring vortical structures is analyzed by adding impulse perturbations to the connectors in direct numerical simulations. The findings are compared with the cases of perturbing the strongest vortex tube and shear-layer regions. We find that perturbing the connector structures enhances local turbulent mixing beyond what are achieved by the other cases.

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