Formulation of subgrid stresses for large-scale fluid equations
Abstract
A formulation is presented based on a previously derived self-consistent procedure for obtaining subgrid scale models for complex system of equations. Using linear stability analysis and numerical simulations of the one-dimensional Burgers equation the formulation is shown to be very stable numerically and to reproduce accurately the large-scale flow of a high-resolution, direct simulation. Moreover, the resulting equation has a structure very similar to the viscous Camassa-Holm equation recently introduced in the modeling of turbulent flows.
- Publication:
-
Physical Review E
- Pub Date:
- March 2001
- DOI:
- 10.1103/PhysRevE.63.036306
- Bibcode:
- 2001PhRvE..63c6306M
- Keywords:
-
- 47.27.Eq;
- 47.27.Ak;
- Fundamentals