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

Autor: Morgan BE; Lawrence Livermore National Laboratory, Livermore, California 94550, USA., Ferguson K; Lawrence Livermore National Laboratory, Livermore, California 94550, USA., Olson BJ; Lawrence Livermore National Laboratory, Livermore, California 94550, USA.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2023 Nov; Vol. 108 (5-2), pp. 055104.
DOI: 10.1103/PhysRevE.108.055104
Abstrakt: 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-ϕ-L-a-C models by Morgan [Phys. Rev. E 103, 053108 (2021)10.1103/PhysRevE.103.053108; Phys. Rev. E 105, 045104 (2022)10.1103/PhysRevE.105.045104]. Self-similarity analysis is used 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)10.1115/1.4027587] and in simulation of a shock-accelerated 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.
Databáze: MEDLINE