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Phys. Fluids 20, 011701 (2008); http://dx.doi.org/10.1063/1.2831134 (4 pages)

Constrained subgrid-scale stress model for large eddy simulation

Yipeng Shi1, Zuoli Xiao2, and Shiyi Chen1,2

1SKLTCS, College of Engineering, Peking University, Beijing 100871, People's Republic of China
2Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218, USA

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(Received 27 August 2007; accepted 28 November 2007; published online 22 January 2008)

In this letter, we propose to impose physical constraints in the dynamic procedure of the dynamic subgrid-scale (SGS) stress model in large eddy simulation, and to calculate the SGS model coefficients using a constrained variation. Numerical simulations of forced and decaying isotropic turbulence demonstrate that the constrained dynamic mixed model predicts the energy evolution and the SGS energy dissipation well. The constrained SGS model also shows a strong correlation with the real stress and is able to capture the energy backscatter, manifesting a desirable feature of combining the advantages of dynamics Smagorinsky and mixed models.

© 2008 American Institute of Physics

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1070-6631 (print)  
1089-7666 (online)

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