期刊
AIAA JOURNAL
卷 59, 期 2, 页码 526-532出版社
AMER INST AERONAUTICS ASTRONAUTICS
DOI: 10.2514/1.J059499
关键词
-
资金
- Shastri Indo-Canadian Institute
- NSERC-PGS grant
- SharcNet
- Compute Canada
This study presents a semi-empirical estimate of the time-averaged thickness of a planar shock embedded in a turbulent mean flow to quantify the characteristic time and length scales for turbulence modeling. The method for calculating shock thickness is validated against direct numerical simulations and shows good accuracy across a wide range of Mach, Reynolds, and turbulent Mach numbers. The obtained ratio of characteristic shock time scale to the upstream turbulence time scale is shown to be proportional to the turbulent kinetic energy amplification through the shock, supported by direct numerical simulations.
A semi-empirical estimate of the time-averaged thickness of a planar shock embedded in a turbulent mean flow is presented in an effort to quantify the characteristic time and length scales for turbulence modeling. Simplified Favre-averaged Navier-Stokes equations are reformulated and combined with the Rankine-Hugoniot relations to obtain an equation that relates the shock structure and its characteristic thickness to the upstream turbulent and mean flow quantities. The only mean flow and turbulence quantities needed to compute the shock thickness or velocity profile through the shock are upstream Mach number M-u, turbulent Mach number M-t, and the Taylor-based Reynolds number Re-lambda. The accuracy of method for the shock structure is validated against direct numerical simulations of shock-turbulence interaction and shows a very good agreement over a wide range of Mach, Reynolds, and turbulent Mach numbers. Finally, the obtained ratio of characteristic shock time scale to the upstream turbulence time scale is shown to be proportional to the turbulent kinetic energy amplification through the shock and supported through direct numerical simulations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据