论文标题

将湍流界面的时间演变连接到连贯的结构

Connecting the time evolution of the turbulence interface to coherent structures

论文作者

Neamtu-Halic, M. M., Krug, D., Mollicone, J. P., van Reeuwijk, M., Haller, G., Holzner, M.

论文摘要

通过拉伸和曲率/传播效应连续生产和破坏湍流/非扰动界面(TNTI)的表面积。在这里,通过TNTI区域的时间演化方程,研究了负责TNTI区域生长和破坏的机制。我们表明,这两个术语都有广泛的分布,并且可能在本地为生产或破坏做出贡献。然而,平均而言,该面积的生长是由拉伸驱动的,这是通过曲率/传播项的破坏而大致平衡的。为了研究不同长度尺度对这些过程的贡献,我们将空间过滤应用于数据。在此过程中,我们发现拉伸的平均值和曲率/繁殖项在TNTI皱纹的空间尺度上平衡,并且这种逐尺平衡与观察到的附近相干涡旋的量表不变性一致。通过有条件的分析,我们证明了TNTI区域的产生(破坏)位于界面接近涡流结构的前面(Lee)边缘。最后,我们表明,尽管基本机制保持不变,但分层的增加降低了产生TNTI表面积和破坏的速率。我们提供的证据表明,这种还原在很大程度上与界面的多尺寸几何形状的变化相关,该几何形状倾向于在TNTI的所有活动长度尺度下沿壁正态方向平坦。

The surface area of turbulent/non-turbulent interfaces (TNTIs) is continuously produced and destroyed via stretching and curvature/propagation effects. Here, the mechanisms responsible for TNTI area growth and destruction are investigated in a turbulent flow with and without stable stratification through the time evolution equation of the TNTI area. We show that both terms have broad distributions and may locally contribute to either production or destruction. On average, however, the area growth is driven by stretching, which is approximately balanced by destruction by the curvature/propagation term. To investigate the contribution of different length scales to these processes, we apply spatial filtering to the data. In doing so, we find that the averages of the stretching and the curvature/propagation terms balance out across spatial scales of TNTI wrinkles and this scale-by-scale balance is consistent with an observed scale invariance of the nearby coherent vortices. Through a conditional analysis, we demonstrate that the TNTI area production (destruction) localizes at the front (lee) edge of the vortical structures in the interface proximity. Finally, we show that while basic mechanisms remain the same, increasing stratification reduces the rates at which TNTI surface area is produced as well as destroyed. We provide evidence that this reduction is largely connected to a change in the multiscale geometry of the interface, which tends to flatten in the wall-normal direction at all active length scales of the TNTI.

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