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Anisotropy of the Lundgren-Townsend model of fine-scale turbulence. (English) Zbl 0827.76037
Summary: The effect of a statistically anisotropic distribution of stretched vortices in the Lundgren-Townsend model of the fine-scale structure of homogeneous turbulence is considered. Lundgren’s argument that anisotropy does not affect the three-dimensional energy spectrum is confirmed. Examples of velocity derivative moments and one-dimensional vorticity spectra are worked out for the case of an axisymmetric probability distribution. It is found that scaling of three-dimensional vorticity spectra may not be visible in the one-dimensional spectra.

MSC:
76F99 Turbulence
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References:
[1] DOI: 10.1063/1.858798 · Zbl 0793.76046
[2] DOI: 10.1098/rspa.1951.0179 · Zbl 0043.19201
[3] DOI: 10.1063/1.863957 · Zbl 0536.76034
[4] DOI: 10.1063/1.866137 · Zbl 0629.76067
[5] DOI: 10.1017/S0022112090001586 · Zbl 0686.76037
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