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Visualizing Liutex Core Using Liutex Lines and Tubes

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Liutex and Third Generation of Vortex Definition and Identification

Abstract

Liutex is a vortex identification method which can be used to determine the absolute and relative strength of a vortex, the local rotation axis of a vortex, the vortex core center, the size of the vortex core, and the vortex boundary. A vortex core is defined as a concentration of Liutex vectors. It would be nice if we could visualize the Liutex core to gain a better understanding. In this paper, we will use the Liutex core lines and Liutex tubes to show the vortex structure by using pre-processed DNS data, which can help researchers studying fluid dynamics understand the turbulence physics. There is no reason to believe iso-surfaces can represent vortex structure, but it is more reasonable to demonstrate the vortex structures by using the Liutex core lines and Liutex tubes as Liutex is a new vector quantity to represent flow rotation or vortex.

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Correspondence to Chaoqun Liu .

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Alvarez, O., Yu, Y., Shrestha, P., Almutairi, D., Liu, C. (2021). Visualizing Liutex Core Using Liutex Lines and Tubes. In: Liu, C., Wang, Y. (eds) Liutex and Third Generation of Vortex Definition and Identification. Springer, Cham. https://doi.org/10.1007/978-3-030-70217-5_10

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