A Langevin equation for the turbulent vorticity

Wilczek, Michael; Friedrich, Rudolf

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A Langevin equation for the turbulent vorticity

Wilczek, M., & Friedrich, R. (2010). A Langevin equation for the turbulent vorticity. In J. Peinke, M. Oberlack, & A. Talamelli (Eds.), Progress in Turbulence III. Berlin: Springer-Verlag.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-E0AA-0 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-E0AB-F

Genre: Conference Paper

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Creators:
Wilczek, Michael¹, Author
Friedrich, Rudolf, Author

Affiliations:
1Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2266693

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Abstract: 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.

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Language(s): eng - English

Dates: Date issued: 2010

Publication Status: Issued

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Rev. Type: Peer

Identifiers: BibTex Citekey: ISI:000283758200062

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Title: Progress in Turbulence III

Source Genre: Proceedings

Creator(s):
Peinke, J, Editor
Oberlack, M, Editor
Talamelli, A, Editor

Affiliations:
-

Publ. Info: Berlin : Springer-Verlag

Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISBN: 978-3-642-02224-1

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Title: Springer Proceedings in Physics

Source Genre: Series

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Pages: - Volume / Issue: 131 Sequence Number: - Start / End Page: 255 - 258 Identifier: -