A Study of Reynolds Stress and Strain Tensor Components in 3--D Homogeneous Compressible Turbulence
Abstract
Data obtained by using the Piecewise-Parabolic Method (PPM) to solve the Euler equations of motion as well as Navier--Stokes (NS) solution for homogeneous compressible decaying turbulence are presented. Mesh resolutions range as high as 1024^3 for PPM and 512^3 for NS simulations. Convergence analysis of the PPM and NS solutions shows that the PPM and NS solutions converge to the high Reynolds number limit. The data were used for statistical analysis and visualization of the Reynolds stress and strain tensor components, fluctuations of velocities, density, and pressure. The results of the correlation study between Reynolds stress and strain tensor components, gradients of pressure and other terms in equations of motion are presented. 3--D images of the fields of quantities which support the statistical analysis with qualitative view are demonstrated. The possible errors in modeling the compressible homogeneous turbulent flow and Reynolds stresses for Smagorinsky and k-ɛ models are calculated. As a result of this investigation, the reliability and range of validity of the Reynolds closure assumption and, as a consequence, the Smagorinsky and k-ɛ models, are presented.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 1998
- Bibcode:
- 1998APS..DFD..BG01S