Dimensional and Theoretical Analysis of Second-Generation Vortex Identification Methods

2021 ◽  
pp. 57-70
Author(s):  
Charles Nottage ◽  
Yifei Yu ◽  
Pushpa Shrestha ◽  
Chaoqun Liu
Keyword(s):  
Theoretical Analysis ◽  
Second Generation ◽  
Vortex Identification ◽  
Identification Methods

Liutex and Third Generation of Vortex Identification

2021 ◽  
Author(s):  
Yifei Yu ◽  
Charles Nottage ◽  
Oscar Alvarez ◽  
Chaoqun Liu
Keyword(s):  
First Generation ◽  
Second Generation ◽  
Rotation Axis ◽  
Third Generation ◽  
Vortex Identification ◽  
Identification Methods ◽  
Two Generations ◽  
Definition Of ◽  
Rotation Strength ◽  
Better Than

Abstract Scientists developed many vortex identification methods and Liu classified the traditional vortex identification methods into two generations. Vorticity and vorticity-based methods belong to the first generation while eigenvalues-based methods are considered as the second generation, such as Q criterion and λci method. However, although these methods are widely used, there is still room for improvements. People used to consider direction of vorticity is the swirling axis and the magnitude of it is the rotation strength, but the predictions by vorticity does not match the experiment very well which drove scientists to develop the second-generation methods. All the second-generation methods are scalar-valued and as a result they are unable to locate the swirling. Another problem is even though second-generation methods can predict vortex better than vorticity, they are more or less contaminated by shear. To solve these problems, Liu innovated Liutex recently. Liutex is a vector quantity whose direction represents rotation axis and whose magnitude represents rotation strength. Firstly, the physical essence of rotation axis is provided coming with the mathematical definition of swirling axis which is the direction of Liutex. Secondly, orthogonal transformations are used to find out the rigid rotation speed and that speed is defined as the strength of Liutex. Wang later proposed an explicit formula to calculate Liutex strength without doing orthogonal transformations which makes it much easier to apply Liutex method. Some theories dependent on Liutex concept have been proposed these years. Liutex core lines represent the core of vortex which can uniquely and clearly show vortex structure. Principal coordinate is a special coordinate in which it is easy to decompose the velocity gradient tensor into rotation, shear and stretching parts correctly. And principal decomposition is the decomposition in principal coordinate. The Liutex theory system is gradually formed and they are considered as the third generation by Liu.

scholarly journals Correction to: Stretching and shearing contamination analysis for Liutex and other vortex identification methods

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Pushpa Shrestha ◽  
Charles Nottage ◽  
Yifei Yu ◽  
Oscar Alvarez ◽  
Chaoqun Liu
Keyword(s):  
Vortex Identification ◽  
Identification Methods

Improved influential nodes identification in complex networks

2021 ◽  
pp. 1-9
Author(s):  
Shi Dong ◽  
Wengang Zhou
Keyword(s):  
Theoretical Analysis ◽  
Complex Networks ◽  
Network Structure ◽  
Information Entropy ◽  
Network System ◽  
Weighted Degree ◽  
Identification Methods ◽  
Hybrid Mechanism ◽  
Influential Nodes ◽  
Influential Node

Influential node identification plays an important role in optimizing network structure. Many measures and identification methods are proposed for this purpose. However, the current network system is more complex, the existing methods are difficult to deal with these networks. In this paper, several basic measures are introduced and discussed and we propose an improved influential nodes identification method that adopts the hybrid mechanism of information entropy and weighted degree of edge to improve the accuracy of identification (Hm-shell). Our proposed method is evaluated by comparing with nine algorithms in nine datasets. Theoretical analysis and experimental results on real datasets show that our method outperforms other methods on performance.

On the relationships between different vortex identification methods based on local trace criterion

2021 ◽  
Vol 33 (10) ◽  
pp. 105116
Author(s):  
Yangwei Liu ◽  
Weibo Zhong ◽  
Yumeng Tang
Keyword(s):  
Vortex Identification ◽  
Identification Methods

Liutex and third generation of vortex identification methods

2021 ◽  
pp. 119-149
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Third Generation ◽  
Vortex Identification ◽  
Identification Methods

Comparison of Liutex and other vortex identification methods

2021 ◽  
pp. 303-342
Author(s):  
Chaoqun Liu ◽  
Hongyi Xu ◽  
Xiaoshu Cai ◽  
Yisheng Gao
Keyword(s):  
Vortex Identification ◽  
Identification Methods

Third generation of vortex identification methods: Omega and Liutex/Rortex based systems

2019 ◽  
Vol 31 (2) ◽  
pp. 205-223 ◽  
Author(s):  
Chaoqun Liu ◽  
Yi-sheng Gao ◽  
Xiang-rui Dong ◽  
Yi-qian Wang ◽  
Jian-ming Liu ◽  
...  
Keyword(s):  
Third Generation ◽  
Vortex Identification ◽  
Identification Methods

Vortex identification methods in marine hydrodynamics

2020 ◽  
Vol 32 (2) ◽  
pp. 286-295 ◽  
Author(s):  
Wei-wen Zhao ◽  
Jian-hua Wang ◽  
De-cheng Wan
Keyword(s):  
Vortex Identification ◽  
Identification Methods ◽  
Marine Hydrodynamics

Quantification of turbulence properties in bubble plumes using vortex identification methods

2009 ◽  
Vol 21 (7) ◽  
pp. 075101 ◽  
Author(s):  
D. B. Bryant ◽  
D.-G. Seol ◽  
S. A. Socolofsky
Keyword(s):  
Vortex Identification ◽  
Identification Methods ◽  
Bubble Plumes
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