Identification of vortex boundaries in two-dimensional incompressible flows based on the Liutex-shear interaction
作者机构：School of Mathematical SciencesSoochow UniversitySuzhou215006China Department of Computer Science and TechnologyTsinghua UniversityBeijing100084China Department of MathematicsUniversity of Texas at ArlingtonArlington76019USA
出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)
年 卷 期：2023年第35卷第5期
页 面：825-831页
核心收录：
学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）]
基 金：supported by the Jiangsu Shuangchuang Project(Grant No.JSSCTD202209) the National Science Foundation of the Jiangsu Higher Education Institutions of China(Grant No.22KJB130011) the Supercomputing Center in Yancheng(Grant No.FW(W)20221001)
主 题：Vortex boundary identification Liutex residual shear Taylor-Green vortex cylinder flow
摘 要：According to the Liutex-shear decomposition,vorticity can be decomposed into a rotational part,i.e.,the Liutex vector,and a residual shear *** this decomposition,the vorticity transport equation can be used to formulate a governing equation for Liutex easily for two-dimensional incompressible flows with a source term depending on the residual *** dynamics of Liutex-identified structures is then studied in a Taylor-Green vortex flow and a flow past a cylinder at Reynolds number of *** is revealed that such boundaries exist outside which the shear has trivial impact on the evolution of Liutex and inside which enhancing and weakening effects of shear on Liutex can be *** addition,there is a strong dissipation effect upon Liutex on these *** on the interaction mechanism between Liutex and shear,we argue that the vortex boundaries can be identified by these highly dissipative *** contrast,traditional methods use iso-surfaces of arbitrarily selected thresholds to represent vortex *** current method of identifying vortex boundaries based on the Liutex-shear interaction has a clearer theoretical base and avoids the arbitrary selection of *** to three-dimensional incompressible flows can be made in future following the same procedure but with a slightly more complex vorticity transport equation which includes the velocity gradient induced stretching or tilting term.
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