## 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 Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics I Profile Fields Profile Fields > Advanced Fields |

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 |