FM24L_10564:Wed:0950:309
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

PDF Computation of Turbulent Flows with a New Near - Wall Model

Marta Waclawczyk (1), Jacek Pozorski (1), Jean - Pierre Minier (2)
1. Institute of Fluid-Flow Machinery, PAN, Gdansk, Poland
2. Research and Development Division, Electricité de France, Chatou, France


The modeling and computation of near-wall turbulent flows is addressed with the probability density function (PDF) method for velocity and the turbulent frequency. Near-wall extensions are considered in detail and a new model for viscous transport is proposed. A method of elliptic relaxation for a blending function is applied in the PDF approach to model the pressure-strain term. A numerical integration scheme is developed to deal with the near-wall singularity of coefficients that appears in the discrete formulation. The PDF equation is solved by a Monte Carlo method and the whole approach appears as a self-contained Lagrangian simulation using stochastic particles. For the sake of numerical example, the fully developed channel flow case at $Re_\tau=395$ and $Re_\tau=590$ is computed; results are compared with the available DNS data.



Extended Summary (PDF)

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