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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. |
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Extended Summary (PDF) |