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A Langevin equation for the turbulent vorticity

Title data

Wilczek, Michael ; Friedrich, Rudolf:
A Langevin equation for the turbulent vorticity.
In: Peinke, Joachim ; Oberlack, Martin ; Talamelli, Alessandro (ed.): Progress in Turbulence III : proceedings of the iTi Conference in Turbulence 2008. - Berlin ; Heidelberg : Springer , 2010 . - pp. 255-258 . - (Springer Proceedings in Physics ; 131 )
ISBN 978-3-642-02224-1
DOI: https://doi.org/10.1007/978-3-642-02225-8_62

Abstract in another language

The vorticity field of fully developed turbulence displays a complex spatial structure consisting of a large number of entangled filamentary vortices (see illustration). As a consequence, the PDF of the vorticity shows a highly non-Gaussian shape with pronounced tails. In the present work a kinetic theory for the turbulent vorticity is presented. Under certain conditions the arising equation may be interpreted as a Fokker-Planck equation giving rise to a Langevin model. The appearing unknown conditional averages are estimated from direct numerical simulations. The Langevin model is shown to reproduce the single point vorticity PDF.

Further data

Item Type: Article in a book
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 10:30
Last Modified: 23 Feb 2022 10:30
URI: https://eref.uni-bayreuth.de/id/eprint/67578