Galilean invariance of Omega vortex identification method
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In the new vortex identification method (Liu et al. 2016) to represent the rotation level and capture and visualize the vortices, proposed in our previous study, the independence of the reference frame and the Galilean invariant were not proved. In the present study, the Galilean invariance of the omega vortex identification method is proved and several examples are presented to verify the conclusion.
Key wordsVortex identification Ω method Galilean invariance turbulence visualization
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This work was supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 18KJA110001), the Visiting Scholar Scholarship of the China Scholarship Council (Grant No. 201808320079) and the China Post-Doctoral Science Foundation (Grant No. 2017M610876). This work is accomplished by using the code DNSUTA released by Dr. Chaoqun Liu at the University of Texas at Arlington in 2009.
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