zbMATH — the first resource for mathematics

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.

76F99 Turbulence
Full Text: DOI
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.