论文标题

涡度,Q方法和liutex之间的相关分析

Correlation Analysis among Vorticity, Q method and Liutex

论文作者

Yu1, Yifei, Shrestha, Pushpa, Alvarez, Oscar, Nottage, Charles, Liu, Chaoqun

论文摘要

受涡度代表刚体旋转的事实的影响,人们认为它也适合流体流动。但是,涡度的理论预测与实验结果不符,这促使科学家寻找更好的方法来描述涡旋。根据LIU博士的分类,用于检测涡旋的所有方法都可以分为三代人。基于涡度的方法被归类为第一代。依赖速度梯度张量特征值的方法被认为是第二代。尽管出现了如此多的方法,但人们仍然认为涡度是涡流,因为涡度理论在数学方面看起来很完美,而且所有其他方法只是标量,无法指示旋转方向。最近,Liu博士创新了一种名为Liutex的新涡流识别方法。 liutex是矢量数量,被视为第三代方法,不仅克服了所有以前的方法缺陷,而且具有明确的物理意义。 Liutex的方向代表旋转的漩涡轴,其强度等于角速度的两倍。在本文中,我们基于边界层过渡的DNS情况,在涡度,Q,Lambda CI,Lambda 2方法和Liutex之间进行了相关分析。结果表明,在强剪切区域中涡度和liutex之间的相关性很小,这表明了这样一种观念,即使用涡度检测涡流缺乏科学基础。换句话说,涡度不是涡流。

Influenced by the fact that vorticity represents rotation for rigid body, people believe it also works for fluid flow. However, the theoretical predictions by vorticity do not match experiment results, which drove scientists to look for better methods to describe vortex. According to Dr. Liu classification, all methods applied to detect vortex can be categorized into three generations. The vorticity-based method is classified as the first generation. Methods relying on eigenvalues of velocity gradient tensor are considered as the second generation. Although so many methods appeared, people still believe vorticity is vortex since vorticity theory looks perfect in math, and all other methods are only scalars and unable to indicate swirl direction. Recently, Dr. Liu innovated a new vortex identification method called Liutex. Liutex, a vector quantity, which is regarded as the third-generation method, not only overcomes all previous methods drawbacks, but also has a clear physical meaning. The direction of Liutex represents the swirl axis of rotation, and its strength is equal to twice of angular speed. In this paper, we did a correlation analysis between vorticity, Q, Lambda ci, Lambda 2 methods and Liutex based on a DNS case of boundary layer transition. The results show that the correlation between vorticity and Liutex is minimal in strong shear region, which demonstrates the idea that using vorticity to detect vortex lacks a scientific foundation; in other words, vorticity is not vortex.

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