1999年8月
Taylor expansions in powers of time of Lagrangian and Eulerian two-point two-time velocity correlations in turbulence
PHYSICS OF FLUIDS
- ,
- ,
- 巻
- 11
- 号
- 8
- 開始ページ
- 2154
- 終了ページ
- 2166
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1063/1.870077
- 出版者・発行元
- AMER INST PHYSICS
A method is developed for generating the Taylor expansions in powers of the time difference of the Lagrangian and Eulerian two-point two-time velocity correlations in turbulence. The expansions are based on the Taylor series of the Eulerian and Lagrangian velocity fields subject to given dynamics along with initial and boundary conditions. The lowest few coefficients in the expansions enable us to construct approximations to the correlations. An application of the method to turbulence obeying the Navier-Stokes dynamics yields approximations, particularly Padi approximations that agree well with direct numerical simulations of homogeneous isotropic turbulence at moderate Reynolds numbers. The ratios of the second-order to the zeroth-order coefficients of the Taylor series of the Lagrangian and Eulerian correlations give, respectively, the estimates for the Lagrangian and Eulerian micro time scales tau(L) and tau(E). An analysis of a high resolution (512(3) grid points) direct numerical simulation database at large Reynolds number suggests the scalings tau(L)proportional to k(-2/3) and tau(E) proportional to k(-1) for wave numbers k in the inertial subrange. The role of flow structures in turbulence in determining the time scales is also discussed. (C) 1999 American Institute of Physics. [S1070-6631(99)02508-8].
- リンク情報
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- DOI
- https://doi.org/10.1063/1.870077
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000081528500021&DestApp=WOS_CPL
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0001566892&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0001566892&origin=inward
- ID情報
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- DOI : 10.1063/1.870077
- ISSN : 1070-6631
- eISSN : 1089-7666
- SCOPUS ID : 0001566892
- Web of Science ID : WOS:000081528500021