Material frameindifference in turbulence modeling
Abstract
Theoretical support is developed for the acceptability of the application of the principle of material frameindifference to turbulence modeling. The Reynolds stress tensor has been proven frameindependent in twodimensional turbulence, such as for upper atmospheric modeling. Observerindependent velocity fluctuations are discussed, showing that ensemble mean velocities are frameindifferent. The frameindifferent stress tensor is therefore only a special solution to the NavierStokes equations, which are framedependent. However, at distances sufficiently far from the boundaries threedimensional eddies are aligned with the axis of rotation, as proven by the TaylorProudman theory, and thus become twodimensional and frameindependent.
 Publication:

ASME Journal of Applied Mechanics
 Pub Date:
 December 1984
 Bibcode:
 1984ATJAM..51..942S
 Keywords:

 Closure Law;
 Computational Fluid Dynamics;
 Flow Theory;
 Reynolds Stress;
 Stress Tensors;
 Turbulent Flow;
 Flow Velocity;
 Invariance;
 NavierStokes Equation;
 Rotating Fluids;
 Fluid Mechanics and Heat Transfer