Statistical Properties of Turbulence in the Presence of a Smart Small-Scale Control

By means of high-resolution numerical simulations, we compare the statistical properties of homogeneous and isotropic turbulence to those of the Navier-Stokes equation where small-scale vortex filaments are strongly depleted, thanks to a nonlinear extra viscosity acting preferentially on high vortic...

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Bibliographic Details
Published in:Physical review letters 2020-02, Vol.124 (8), p.084504-084504, Article 084504
Main Authors: Buzzicotti, Michele, Biferale, Luca, Toschi, Federico
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Drag
Drag reduction
Filaments
Isotropic turbulence
Properties (attributes)
Vortex filaments
Vorticity
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Summary:By means of high-resolution numerical simulations, we compare the statistical properties of homogeneous and isotropic turbulence to those of the Navier-Stokes equation where small-scale vortex filaments are strongly depleted, thanks to a nonlinear extra viscosity acting preferentially on high vorticity regions. We show that the presence of such smart small-scale drag can strongly reduce intermittency and non-Gaussian fluctuations. Our results pave the way towards a deeper understanding on the fundamental role of degrees of freedom in turbulence as well as on the impact of (pseudo)coherent structures on the statistical small-scale properties. Our work can be seen as a first attempt to develop smart-Lagrangian forcing or drag mechanisms to control turbulence.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.124.084504