Two self-similar Reynolds-stress transport models with anisotropic eddy viscosity

Two Reynolds-averaged Navier-Stokes models with full Reynolds-stress transport (RST) and tensor eddy viscosity are presented. These new models represent RST extensions of the k-2L-a-C and k-phi-L-a-C models by to derive constraints on model coefficients required to reproduce expected growth parameters for a variety of canonical flows, including Rayleigh-Taylor (RT) and Kelvin-Helmholtz (KH) mixing layers. Both models are then applied in one-dimensional simulation of RT and KH mixing layers, and the expected self-similar growth rates and anisotropy are obtained. Next, models are applied in two-dimensional simulation of the so-called tilted rocket rig inclined RT experiment [J. Fluids Eng. 136, 091212 (2014)] and in simulation of a shockaccelerated localized patch of turbulence. It is found that RST is required to capture the qualitative growth of the shock-accelerated patch, and an anisotropic eddy viscosity provides substantial improvement over a Boussinesq treatment for the tilted rocket rig problem.

Automated summary

Two Reynolds-averaged Navier-Stokes models with full Reynolds-stress transport and tensor eddy viscosity are presented and validated in multiple experiments. The results show that these models can effectively reproduce the growth parameters and anisotropy of various canonical flows.