A Study of the Energy Dissipation Rate in 3--D Homogeneous Compressible Turbulence
Abstract
Statistical analysis and visualization of the local dissipation rate of the turbulent kinetic energy \varepsilon based on 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. Spatial filtering was used as a tool for scale decomposition to study the interaction between large and small scale structures. The local energy flux per unit volume from large to small scales is defined and compared with the local energy dissipation rate. Strong correlation of \varepsilon with dilatation and strain tensor reported in form: \varepsilon ~ F_1\cdot divtildeU + F_2\cdot divtildeU\cdotbarbarS^2 -F3 \cdotbarbarS^3 - F_4. Time dependence of the components of this model and correlations with entropy, stress tensor components, fluctuations of velocities, and density are presented. A movie of 3-D images of the volume rendering for the fields of quantities which support the statistical analysis qualitatively are demonstrated. Application of the model for simulation of the compressible decaying turbulence in a frame of k-ɛ model is analyzed.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 1999
- Bibcode:
- 1999APS..DFD..FA03S