Energy Partitioning Control in the PITM Hybrid RANS/LES Method for the Simulation of Turbulent Flows Article - 2021

Bruno Chaouat, Roland Schiestel

Bruno Chaouat, Roland Schiestel, « Energy Partitioning Control in the PITM Hybrid RANS/LES Method for the Simulation of Turbulent Flows  », Flow, Turbulence and Combustion, à paraître. ISSN 1386-6184

Abstract

The partially integrated transport modeling (PITM) method first introduced in Ref. [R. Schiestel and A. Dejoan, "Towards a new partially integrated transport model for coarse grid and unsteady turbulent flow simulations ", Theor. Comput. Fluid Dyn. 18, 443 (2005)] and in Ref. [B. Chaouat and R. Schiestel, "A new partially integrated transport model for subgrid-scale stresses and dissipation rate for turbulent developing flows ", Phys. Fluids 17, 065106 (2005)] provides a continuous approach for hybrid RANS-LES simulations. Inspired from the multiple scale approach, the basis of the development of the method is the spectral space in quasi-homogeneous turbulence. The PITM method embodies a partitioning control function that monitors the ratio of subfilter energy to total turbulent energy by reference to the cutoff wavenumber location. How this procedure behaves in inhomogeneous flows is an important question. The present paper demonstrates that the same control function can be used both in homogeneous and in non-homogeneous flows as well. Further on, an analysis of the effect of anisotropic filters generally used for wall flows is conducted for computing the equivalent cutoff wavenumber suitable for determining the subfilter energy of the spectrum and see how it interferes with control function. Illustrations in the turbulent plane channel flow are given that confirm the efficiency of the procedure and DNS data have been used to support and supplement the discussion.

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