Abstract
It is claimed in the subgrid-scale (SGS) modeling of incompressible turbulent flows that none of the (modified) Leonard terms, the (modified) cross terms, or their sums can be neglected, in principle, due to the constraint of material frame indifference in the limit of two-dimensional turbulence [C. G. Speziale: Geophys. Astrophys. Fluid Dyn. 23 (1983) 69], and that the Clark model [R. A. Clark, J. H. Ferziger and W. C. Reynolds: J. Fluid Mech. 91 (1979) 1] is consistent with this constraint. Furthermore, a family of dynamic SGS models consistent with this constraint is found, and specifically, a two-parameter dynamic SGS model is proposed as the most desirable member, whose expression for the SGS Reynolds stress asymptotically disappears in the limit of two-dimensional turbulence.
| Original language | English |
|---|---|
| Pages (from-to) | 2483-2486 |
| Number of pages | 4 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 68 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1999 Aug |
Keywords
- Cross term
- Dynamic subgrid-scale model
- Large-eddy simulation
- Leonard term
- Material frame indifference
- Rotation
- Turbulence
ASJC Scopus subject areas
- Physics and Astronomy(all)