Cascade processes in rapidly rotating turbulence

Abstract

The process of the kinetic energy and kinetic helicity transfer over the spectrum in an incompressible, rapidly rotating turbulent flow is considered. An analogue of the Fjortoft theorem for 3D rapidly rotating turbulence is proposed. It is shown that, similar to 2D turbulence, there are two cascades simultaneously: the inverse cascade of the kinetic energy and the direct cascade of the kinetic helicity, which in the case of 2D turbulence corresponds to the cascade of enstrophy. The proposed scenario is in agreement with our earlier calculations, some recent numerical simulations, and physical experiment on rotating turbulence.

References in corpus (4)

• Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
• Shell Models of Magnetohydrodynamic Turbulence
• Direct and inverse energy cascades in a forced rotating turbulence experiment
• From two-dimensional to three-dimensional turbulence through two-dimensional three-component flows