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The results of a DNS of the flow around a wing section represented by a NACA4412 profile, with Rec = 400,000 and 5° angle of attack, are presented in this study. The high-order spectral element code Nek5000 is used for the computations. An initial RANS simulation is used to define the velocity boundary conditions, and to design the computational mesh. The agreement between spanwise- and time-averaged fields from the DNS and the RANS simulation is excellent. The mean flow and several components of the Reynolds stress tensor at x/c = 0.4 (β = 0.53) and 0.8 (β = 4.54) are compared with the ZPG boundary layer computed by Schlatter & Orlu (2010). In both cases, the friction Reynolds number is roughly matched (330 and 450), and as expected the Reg values from the wing (720 and 1,800) are larger than the ones from the ZPG case (612 and 1,007). The APG leads to a steeper log law, a more prominent wake region and a larger U+e. The tangential turbulence intensity exhibits a stronger inner peak, and starts to develop an outer peak. We also show that the impact on the spanwise component is significant, and also on the wall-normal intensity and the Reynolds shear stress for stronger pressure gradients, especially in the outer region., QC 20200910

The explicit algebraic Reynolds stress model of Grigoriev et al. ["A realizable explicit algebraic Reynolds stress model for compressible turbulent flow with significant mean dilatation," Phys. Fluids 25, 105112 (2013)] is extended to account for the turbulent density flux in variable density flows. The influence of the mean dilatation and the variation of mean density on the rapid pressure-strain correlation are properly accounted for introducing terms balancing a so-called "baroclinic" production in the Reynolds stress tensor equation. Applying the weak-equilibrium assumption leads to a self-consistent formulation of the model. The model together with a K - ω model is applied to a quasi-one-dimensional plane nozzle flow transcending from subsonic to supersonic regimes. The model remains realizable with constraints put on the model parameters. When density fluxes are taken into account, the model is less likely to become unrealizable. The density variance coupled with a "local mean acceleration" also can influence the model acting to increase anisotropy. The general trends of the behaviour of the anisotropy and production components under the variation of model parameters are assessed. We show how the explicit model can be applied to two- and three-dimensional mean flows without previous knowledge of a tensor basis to obtain the general solution. Approaches are proposed in order to achieve an approximate solution to the consistency equation in cases when analytic solution is missing. In summary, the proposed model has the potential to significantly improve simulations of variable-density flows., QC 20150528

We propose a dynamic model based on the Germano identities to evaluate the subgrid scale energy in LES as a function of the large scale velocity field only. Contrary to traditional transport equation for k-bar, this model does not require any additional equation and provide a very simple first approximation for k-bar., Presented at AFOSR International Conference on DNS/LES (3rd) held at Univ. of Texas, Arlington, TX on 5-9 Aug 2001. This article is from ADA412801 DNS/LES Progress and Challenges. Proceedings of the Third AFOSR International Conference on DNS/LES