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Probability density function/Monte Carlo simulation of near-wall turbulent flows

Published online by Cambridge University Press:  25 February 1998

THOMAS D. DREEBEN  and
STEPHEN B. POPE
THOMAS D. DREEBEN
Affiliation:
Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA Present address: Combustion Research Facility, Sandia National Laboratories, Livermore, CA 94551-0969, USA.
STEPHEN B. POPE
Affiliation:
Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA
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Abstract

Probability density function (p.d.f.) methods are extended to include modelling of wall-bounded turbulent flows. A p.d.f. near-wall model is developed in which the generalized Langevin model is combined with a model for viscous transport. This provides exact treatment of viscous inhomogeneous effects, and enables consistent imposition of the no-slip condition in a particle framework. The method of elliptic relaxation is combined with additional boundary conditions and with the generalized Langevin model to provide an analogy for the near-wall fluctuating continuity equation. This provides adequate representation of the near-wall anisotropy of the Reynolds stresses. The model is implemented with a p.d.f./Monte Carlo simulation for the joint p.d.f. of velocity and turbulent frequency. Results are compared with DNS and experimental profiles for fully developed turbulent channel flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 357 , 25 February 1998 , pp. 141 - 166
Copyright
© 1998 Cambridge University Press

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