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Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence

Mohseni, Kamran and Kosovic, Branko and Shkoller, Steve and Marsden, Jerrold E. (2003) Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence. Physics of Fluids, 15 (2). pp. 524-544. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:MOHpof03

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Abstract

Capabilities for turbulence calculations of the Lagrangian averaged Navier-Stokes (LANS-alpha) equations are investigated in decaying and statistically stationary three-dimensional homogeneous and isotropic turbulence. Results of the LANS-alpha computations are analyzed by comparison with direct numerical simulation (DNS) data and large eddy simulations. Two different decaying turbulence cases at moderate and high Reynolds numbers are studied. In statistically stationary turbulence two different forcing techniques are implemented to model the energetics of the energy-containing scales. The resolved flows are examined by comparison of the energy spectra of the LANS-alpha with the DNS computations. The energy transfer and the capability of the LANS-alpha equations in representing the backscatter of energy is analyzed by comparison with the DNS data. Furthermore, the correlation between the vorticity and the eigenvectors of the rate of the resolved strain tensor is studied. We find that the LANS-alpha equations capture the gross features of the flow, while the wave activity below the scale alpha is filtered by a nonlinear redistribution of energy.


Item Type:Article
Additional Information:Copyright © 2003 American Institute of Physics. Received 8 November 2001; accepted 6 November 2002; published 8 January 2003. The authors would like to thank the Center for Turbulence Research (CTR) for the opportunity to visit the Center during the summer program 2000. We would also like to thank P. Moin, A. Wray, R. Rogallo, and D. Carati, for their help and useful comments during our stay at the CTR summer program 2000. The data for the initial condition for the DNS computations in Sec. VIA was provided by A. Wray. Most of the simulations were run while K.M. was at the California Institute of Technology. Work was partially supported by the NSF-KDI Grant No. ATM-98-73133. J.E.M. also acknowledges the support of the California Institute of Technology and S.S. was partially supported by the Alfred P. Sloan Foundation Research Fellowship, and IGPP Los Alamos National Laboratory minigrant, and the NSF Grant No. DMS-0105004. K.M. and J.E.M. received partial support from the AFOSR, Grant No. 1046925.
Subject Keywords:turbulence; flow simulation; Navier-Stokes equations; eigenvalues and eigenfunctions
Record Number:CaltechAUTHORS:MOHpof03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MOHpof03
Alternative URL:http://dx.doi.org/10.1063/1.1533069
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2253
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Mar 2006
Last Modified:26 Dec 2012 08:48

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