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Toward the large-eddy simulation of compressible turbulent flows

Published online by Cambridge University Press:  26 April 2006

G. Erlebacher ,
M. Y. Hussaini ,
C. G. Speziale  and
T. A. Zang
G. Erlebacher
Affiliation:
ICASE, NASA Langley Research Center, Hampton, VA 23665, USA
M. Y. Hussaini
Affiliation:
ICASE, NASA Langley Research Center, Hampton, VA 23665, USA
C. G. Speziale
Affiliation:
ICASE, NASA Langley Research Center, Hampton, VA 23665, USA
T. A. Zang
Affiliation:
NASA Langley Research Center, Hampton, VA 23665, USA
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Abstract

New subgrid-scale models for the large-eddy simulation of compressible turbulent flows are developed and tested based on the Favre-filtered equations of motion for an ideal gas. A compressible generalization of the linear combination of the Smagorinsky model and scale-similarity model, in terms of Favre-filtered fields, is obtained for the subgrid-scale stress tensor. An analogous thermal linear combination model is also developed for the subgrid-scale heat flux vector. The two dimensionless constants associated with these subgrid-scale models are obtained by correlating with the results of direct numerical simulations of compressible isotropic turbulence performed on a 963 grid using Fourier collocation methods. Extensive comparisons between the direct and modelled subgrid-scale fields are provided in order to validate the models. A large-eddy simulation of the decay of compressible isotropic turbulence – conducted on a coarse 323 grid – is shown to yield results that are in excellent agreement with the fine-grid direct simulation. Future applications of these compressible subgrid-scale models to the large-eddy simulation of more complex supersonic flows are discussed briefly.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 238 , May 1992 , pp. 155 - 185
Copyright
© 1992 Cambridge University Press

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