Subgrid scale stress models for the largeeddy simulation of rotating turbulent flows
Abstract
The modeling of the subgrid scale stresses is considered from a theoretical standpoint with a view toward developing models that are more suitable for the largeeddy simulation of rotating turbulent flows. It is proven, as a rigorous consequence of the NavierStokes equations, that such models must be generally invariant under the extended Galilean group and must be frameindifferent in the limit of twodimensional turbulence which can be approached in a rapidly rotating framework. Furthermore, it is shown that a significant increase in the rotation rate must be accompanied by a substantial reduction in the energy dissipation rate of the turbulence. Vorticity subgrid scale stress models as well as several other commonly used modes are shown to be in serious violation of one or more of these constraints and, hence, are not generally suitable for the description of rotating flows. Alternative models with the correct physical properties are discussed and compared.
 Publication:

Geophysical and Astrophysical Fluid Dynamics
 Pub Date:
 September 1985
 DOI:
 10.1080/03091928508245430
 Bibcode:
 1985GApFD..33..199S
 Keywords:

 Computational Fluid Dynamics;
 Rotating Fluids;
 Turbulence Models;
 Turbulent Flow;
 Constraints;
 Incompressible Flow;
 NavierStokes Equation;
 Simulation;
 Stresses;
 Tensor Analysis;
 Fluid Mechanics and Heat Transfer