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  Low-order moments of the velocity gradient in homogeneous compressible turbulence

Yang, P.-F., Fang, J., Fang, L., Pumir, A., & Xu, H. (2022). Low-order moments of the velocity gradient in homogeneous compressible turbulence. Journal of Fluid Mechanics, 947: R1. doi:10.1017/jfm.2022.622.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000D-F838-D Version Permalink: https://hdl.handle.net/21.11116/0000-000D-F839-C
Genre: Journal Article

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low-order-moments-of-the-velocity-gradient-in-homogeneous-compressible-turbulence.pdf (Publisher version), 930KB
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 Creators:
Yang, P.-F., Author
Fang, J., Author
Fang, L., Author
Pumir, Alain1, Author                 
Xu, H., Author
Affiliations:
1Laboratory for Fluid Physics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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Free keywords: compressible turbulence, turbulence theory
 Abstract: We derive from first principles analytic relations for the second- and third-order moments
of m, the spatial gradient of fluid velocity u, m = ∇u, in compressible turbulence, which
generalize known relations in incompressible flows. These relations, although derived
for homogeneous flows, hold approximately for a mixing layer. We also discuss how to
apply these relations to determine all the second- and third-order moments of the velocity
gradient experimentally for isotropic compressible turbulence.

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Language(s): eng - English
 Dates: 2022-08-302022
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1017/jfm.2022.622
 Degree: -

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Project name : P.F.Y. is partially supported by the National Natural Science Foundation of China (NSFC) Basic Science Center Program for ‘Multiscale Problems in Nonlinear Mechanics’ (no. 11988102). P.F.Y. and H.X. acknowledge support from the NSFC under grant nos 11672157 and 91852104. J.F. acknowledges the UK Engineering and Physical Sciences Research Council (EPSRC) through the Computational Science Centre for Research Communities (CoSeC), and the UK Turbulence Consortium (no. EP/R029326/1). A.P. was supported by the French Agence National de la Recherche under contract no. ANR-20-CE30-0035 (project TILT). The simulations were conducted on the ARCHER2 UK National Supercomputing Service.
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Title: Journal of Fluid Mechanics
  Other : J. Fluid Mech.
Source Genre: Journal
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Publ. Info: Cambridge : Cambridge University Press
Pages: - Volume / Issue: 947 Sequence Number: R1 Start / End Page: - Identifier: ISSN: 0022-1120
CoNE: https://pure.mpg.de/cone/journals/resource/954925340716