PowerPoint Presentation - On the two-point correlation of potential vorticity in rotating and stratified turbulence Susan Kurien - Los Alamos National Laboratory Leslie Smith - University of Wisconsin Beth Wingate

NCAR TOY - February 2008

Separation of time scales - Fast wave averaging equation

Where solves:

And therefore, the solution to leading order is

And since the fast linear operator is skew-Hermitian, has an orthogonal decomposition into fast and slow components:

Using the fact that , the leading order solution looks like,