Titlebook: Liutex and Third Generation of Vortex Identification; Workshop from Aerosp Yiqian Wang,Yisheng Gao,Chaoqun Liu Conference proceedings 2023

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Liutex and Third Generation of Vortex Definition and Identificationcenturies. Liutex was defined by the University of Arlington at Texas (UTA) team in 2018 as a vector for vortex. Its direction is the local rotation axis, and magnitude is twice local angular rotation speed. As the third generation of vortex definition and identification, Liutex has been widely appl

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Rules of Tensor and Matrix Operation for Liutex Calculationand the process of derivations, vectors and tensors are usually expressed in the format of matrices which do not have as clear as their original mathematical definitions. The first problem is that there is no agreement on whether to use a column or row matrix to represent a vector which also leads t

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純樸

Study of Vortex and Vorticity in a Laminar Flowwhen one thinks of vortices. It has been extensively studied for centuries, being significantly important in various fields such as engineering, physics, chemistry, and aerospace. Still, we do not have an unambiguous and universally accepted definition of a vortex. Often vorticity is used to describ

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Liutex Shear Interaction in Turbulent Channel Flow systematically define and visualize vortices. Many methods have been introduced including ., ., Δ, ., . and Liutex vector-based methods. In this paper, we explore the interaction between Liutex and shear on the basis of the Liutex-shear (.-.) decomposition in a turbulent channel flow with Reynolds

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