Probability density function and “plus” and “minus” structure functions in a turbulent channel flow

2001 ◽  
Vol 63 (2) ◽  
Author(s):  
Miguel Onorato ◽  
Gaetano Iuso
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Channel Flow ◽  
Turbulent Channel Flow ◽  
Structure Functions

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

1998 ◽  
Vol 357 ◽  
pp. 141-166 ◽  
Author(s):  
THOMAS D. DREEBEN ◽  
STEPHEN B. POPE
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Turbulent Flows ◽  
Turbulent Channel Flow ◽  
Reynolds Stresses ◽  
Langevin Model ◽  
Near Wall

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.

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