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A vortex-based subgrid stress model for large-eddy simulation

Misra, Ashish and Pullin, D. I. (1997) A vortex-based subgrid stress model for large-eddy simulation. Physics of Fluids, 9 (8). pp. 2443-2454. ISSN 1070-6631. doi:10.1063/1.869361.

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A class of subgrid stress (SGS) models for large-eddy simulation (LES) is presented based on the idea of structure-based Reynolds-stress closure. The subgrid structure of the turbulence is assumed to consist of stretched vortices whose orientations are determined by the resolved velocity field. An equation which relates the subgrid stress to the structure orientation and the subgrid kinetic energy, together with an assumed Kolmogorov energy spectrum for the subgrid vortices, gives a closed coupling of the SGS model dynamics to the filtered Navier-Stokes equations for the resolved flow quantities. The subgrid energy is calculated directly by use of a local balance between the total dissipation and the sum of the resolved-scale dissipation and production by the resolved scales. Simple one- and two-vortex models are proposed and tested in which the subgrid vortex orientations are either fixed by the local resolved velocity gradients, or rotate in response to the evolution of the gradient field. These models are not of the eddy viscosity type. LES calculations with the present models are described for 32^(3) decaying turbulence and also for forced 32^(3) box turbulence at Taylor Reynolds numbers R-lambda in the range R(lambda)similar or equal to 30 (fully resolved) to R-lambda=infinity. The models give good agreement with experiment for decaying turbulence and produce negligible SGS dissipation for forced turbulence in the limit of fully resolved flow.

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Additional Information:©1997 American Institute of Physics. Received 24 September 1996; accepted 16 April 1997. This work was supported in part by NSF Grant CTS-9634222. The authors wish to thank Dr. Thomas Lund for useful discussions and help in the implementation of the decaying test. AM benefited from his visit to CTR during the 1996 Summer Program and would like to thank Professor Parviz Moin for useful suggestions.
Subject Keywords:flow simulation; turbulence; vortices; Navier-Stokes equations
Issue or Number:8
Record Number:CaltechAUTHORS:MISpof97
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3089
Deposited By: Tony Diaz
Deposited On:15 May 2006
Last Modified:08 Nov 2021 19:53

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