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A posteriori subgrid-scale model tests based on the conditional means of subgrid-scale stress and its production rate

Published online by Cambridge University Press:  10 May 2009

QINGLIN CHEN ,
MARTIN J. OTTE ,
PETER P. SULLIVAN  and
CHENNING TONG
QINGLIN CHEN
Affiliation:
Department of Mechanical Engineering, Clemson University, Clemson, SC 29634, USA
MARTIN J. OTTE
Affiliation:
Department of Civil and Environmental Engineering, Duke University, Durham, NC 27708, USA
PETER P. SULLIVAN
Affiliation:
National Center for Atmospheric Research, Boulder, CO 80307, USA
CHENNING TONG*
Affiliation:
Department of Mechanical Engineering, Clemson University, Clemson, SC 29634, USA
*
†Email address for correspondence: ctong@ces.clemson.edu
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Abstract

Traditional a posteriori tests of subgrid-scale (SGS) models often compare large eddy simulation (LES) profiles of various statistics with measurements. In this study we propose and employ a new a posteriori test to study SGS model performance. We compare the conditional means of the LES-generated SGS stress and stress production rate conditional on the resolvable-scale velocity with measurements. These statistics must be reproduced by the SGS model for LES to correctly predict the one-point resolvable-scale velocity joint probability density function. Our tests using data obtained in convective atmospheric boundary layers show that the a posteriori results are consistent with our a priori tests based on the same conditional statistics. The strengths and deficiencies of the models observed here were also identified in our a priori tests. The remarkable consistency between the two types of tests suggests that statistical model tests based on the conditional SGS stress and its production rate are a highly capable approach for identifying specific model deficiencies and for evaluating SGS model performance in simulations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 626 , 10 May 2009 , pp. 149 - 181
Copyright
Copyright © Cambridge University Press 2009

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