Analytic solutions for three dimensional swirling strength in compressible and incompressible flows

Huai Chen, Ronald Adrian, Qiang Zhong, Xingkui Wang

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Eigenvalues of the 3D critical point equation (▿u)ν = λν are normally computed numerically. In the letter, we present analytic solutions for 3D swirling strength in both compressible and incompressible flows. The solutions expose functional dependencies that cannot be seen in numerical solutions. To illustrate, we study the difference between using fluctuating and total velocity gradient tensors for vortex identification. Results show that mean shear influences vortex detection and that distortion can occur, depending on the strength ofmean shear relative to the vorticity at the vortex center.

Original languageEnglish (US)
Article number1.4893343
JournalPhysics of Fluids
Issue number8
Publication statusPublished - Aug 20 2014


ASJC Scopus subject areas

  • Condensed Matter Physics

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