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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

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.

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Date Created
  • 2014-08-01
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  • Text
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    Identifier
    • Digital object identifier: 10.1063/1.4893343
    • Identifier Type
      International standard serial number
      Identifier Value
      1070-6631
    • Identifier Type
      International standard serial number
      Identifier Value
      1089-7666
    Note
    • Copyright 2014 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in PHYSICS OF FLUIDS 26, 8 (2014) and may be found at http://dx.doi.org/10.1063/1.4893343, opens in a new window

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    This is a suggested citation. Consult the appropriate style guide for specific citation guidelines.

    Chen, Huai, Adrian, Ronald J., Zhong, Qiang, & Wang, Xingkui (2014). Analytic solutions for three dimensional swirling strength in compressible and incompressible flows. PHYSICS OF FLUIDS, 26(8), 081701. http://dx.doi.org/10.1063/1.4893343

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