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Theory for the single-point velocity statistics of fully developed turbulence

Title data

Wilczek, Michael ; Daitche, Anton ; Friedrich, Rudolf:
Theory for the single-point velocity statistics of fully developed turbulence.
In: Europhysics Letters. Vol. 93 (2011) Issue 3 . - No. 34003.
ISSN 0295-5075
DOI: https://doi.org/10.1209/0295-5075/93/34003

Abstract in another language

We investigate the single-point velocity probability density function (PDF) in three-dimensional fully developed homogeneous isotropic turbulence within the framework of PDF equations focussing on deviations from Gaussianity. A joint analytical and numerical analysis shows that these deviations may be quantified studying correlations of dynamical quantities like pressure gradient, external forcing and energy dissipation with the velocity. A stationary solution for the PDF equation in terms of these quantities is presented, and the theory is validated with the help of direct numerical simulations indicating sub-Gaussian tails of the PDF.

Further data

Item Type: Article in a journal
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I > Chair Theoretical Physics I - Univ.-Prof. Dr. Michael Wilczek
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: No
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 23 Feb 2022 08:59
Last Modified: 23 Feb 2022 08:59
URI: https://eref.uni-bayreuth.de/id/eprint/67571