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

Example of a linear operator

For the linear operators the only contributions from averaging in time are the result of modes with the same frequency and wave number. So they only contribute slow modes to the evolution of the slow mode dynamics.


	Forcing range: the bulk of the kinetic energy resides here.
	Intertial range: motions are dominated by inertial effects and viscous diffusion is negligible
	Dissipation range: motions dominated by viscous effects

	One of the points in Kolmogorov’s 1941 theory was that, in every turbulent flow at sufficiently high Re, the statistics of the motions of a scales between kd and kf have a universal form uniquely determined by epsilon, the energy dissipation rate, independent of the viscosity, nu.