We discuss the effect of large-scale anisotropy of the shear type on the small-scale structure of turbulence. Our analysis is based on numerical solutions of the Lagrangian tetrad model of Chertkov M., Pumir A. and Shraiman B.I. (1999, Physics of Fluids, 11, 2394) adapted to the model case with large-scale anisotropy. The model, formulated in terms of a set of stochastic differential equations for the coarse-grained velocity gradient and tensor of inertia of a typical shape, naturally connects Lagrangian and Eulerian parameterizations of turbulence. We use diagnostics of Chertkov al. (1999) which allows us to analyse and interpret different correlation functions at the resolved scale in terms of the flow geometry. Our main conclusion, concerning the issue of anisotropy, is that even though overall the local isotropy is restored with the scale decrease, the particular pace of the isotropy restoration depends very much on the object analysed. We found that the vorticity-dominated objects, such as enstrophy, tend to restore the isotropy much faster than their strain-dominated counterparts, e.g. energy flux and strain variance.
Scale dependence of the coarse-grained velocity derivative tensor: Influence of large-scale shear on small-scale turbulence
Log in via your institution
Log in to Taylor & Francis Online
Restore content access
Restore content access for purchases made as guestPDF download + Online access
- 48 hours access to article PDF & online version
- Article PDF can be downloaded
- Article PDF can be printed
Issue Purchase
- 30 days online access to complete issue
- Article PDFs can be downloaded
- Article PDFs can be printed
Related Research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.