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The Lundgren-Monin-Novikov hierarchy : Kinetic equations for turbulence

Title data

Friedrich, Rudolf ; Daitche, Anton ; Kamps, Oliver ; Lülff, Johannes ; Vosskuhle, Michel ; Wilczek, Michael:
The Lundgren-Monin-Novikov hierarchy : Kinetic equations for turbulence.
In: Comptes Rendus Physique. Vol. 13 (2012) Issue 9/10 . - pp. 929-953.
ISSN 1878-1535
DOI: https://doi.org/10.1016/j.crhy.2012.09.009

Abstract in another language

We present an overview of recent works on the statistical description of turbulent flows in terms of probability density functions (PDFs) in the framework of the Lundgren-Monin-Novikov (LMN) hierarchy. Within this framework, evolution equations for the PDFs are derived from the basic equations of fluid motion. The closure problem arises either in terms of a coupling to multi-point PDFs or in terms of conditional averages entering the evolution equations as unknown functions. We mainly focus on the latter case and use data from direct numerical simulations (DNS) to specify the unclosed terms. Apart from giving an introduction into the basic analytical techniques, applications to two-dimensional vorticity statistics, to the single-point velocity and vorticity statistics of three-dimensional turbulence, to the temperature statistics of Rayleigh-Benard convection and to Burgers turbulence are discussed. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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 07:59
Last Modified: 23 Feb 2022 07:59
URI: https://eref.uni-bayreuth.de/id/eprint/67555