Modeling the turbulent kinetic energy equation for compressible, homogeneous turbulence
Abstract
The turbulent kinetic energy transport equation, which is the basis of turbulence models, is investigated for homogeneous, compressible turbulence using direct numerical simulations performed at CTR. It is shown that the partition between dilatational and solenoidal modes is very sensitive to initial conditions for isotropic decaying turbulence but not for sheared flows. The importance of the dilatational dissipation and of the pressure-dilatation term is evidenced from simulations and a transport equation is proposed to evaluate the pressure-dilatation term evolution. This transport equation seems to work well for sheared flows but does not account for initial condition sensitivity in isotropic decay. An improved model is proposed.
- Publication:
-
Studying Turbulence Using Numerical Simulation Databases. 3: Proceedings of the 1990 Summer Program
- Pub Date:
- December 1990
- Bibcode:
- 1990stun.proc...63A
- Keywords:
-
- Compressible Flow;
- Homogeneous Turbulence;
- Isotropic Turbulence;
- Kinetic Energy;
- Kinetic Equations;
- Turbulence Models;
- Computerized Simulation;
- Energy Transfer;
- Fluid Mechanics and Heat Transfer