Computational Method of Second-Moment Turbulence Closures in Complex Geometries

This paper presents a finite volume numerical method to calculate turbulent flows using second-moment turbulence closures. The numerical method is formulated for a collocated grid arrangement and on body-fitted coordinate grids. A special interpolation scheme is derived to resolve the potential decoupling between momentum and Reynolds stress transport equations. This interpolation scheme naturally leads to stability-promoting terms in the momentum equations in the form of anisotropic eddy viscosities. Issues such as the implementation of boundary conditions with a body-fitted coordinate grid are also discussed. Applications are given to demonstrate the robustness of the numerical method and the performance of a second-moment turbulence closure. Computational results are compared with available experimental data and to those of the standard two-equation turbulence model. Good results have been obtained with the second-moment turbulence closure.

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