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Liutex-based vortex dynamics: A preliminary study

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Abstract

Vortex dynamics, with the possibility of efficient flow control, is explored in this study based on the new introduced vortex definition and identification system of Liutex. With the six core elements of vortex identification, including (1) absolute strength, (2) relative strength, (3) local rotational axis, (4) global rotational axis, (5) vortex core size and (6) vortex boundary, provided by the Liutex system, it is possible to numerically devise strategies, primarily by introducing additional source terms in Navier-Stokes equations, which we call Liutex force field model here, to control the vortex regions. Two methodologies of centripetal force model and counter-rotation force model are preliminarily investigated in a cavitating flow around two-dimensional Clark-Y hydrofoil. It is found that Liutex based models are capable of illustrating the vortex dynamics and possibly strengthening or weakening the vortices.

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Acknowledgments

The enlightening discussions with Prof. Lian-di Zhou are highly appreciated which actually motivate the current research. We are also grateful to Profs. Chaoqun Liu and Zheng Ma for the valuable suggestions and comments on the manuscript.

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Correspondence to Yi-qian Wang.

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Project supported by the National Natural Science Foundation of China (Grant No. 11702159).

Biography: Hai-dong Yu (1991-), Male, Ph. D. Candidate

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Yu, Hd., Wang, Yq. Liutex-based vortex dynamics: A preliminary study. J Hydrodyn 32, 1217–1220 (2020). https://doi.org/10.1007/s42241-020-0084-3

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  • DOI: https://doi.org/10.1007/s42241-020-0084-3

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