Correlations of vorticity inside a coherent vortex

Abstract

We examine fluctuations of vorticity inside the coherent vortex, appearing as a consequence of the inverse energy cascade in two-dimensional turbulence. Temporal and spacial correlations can be characterized by the pair correlation function. The interaction between the fluctuations leads to non-zero value of the third moment of vorticity. We examine the pair correlation function and the third moment for the model where the pumping is short correlated in time. We find explicit expressions for the Gaussian spacial correlation function of the pumping force. They confirm the general predictions obtained earlier.

References in corpus (8)

• Growing condensate in two-dimensional turbulence
• Universal profile of the vortex condensate in two-dimensional turbulence
• Path integral methods for the dynamics of stochastic and disordered systems
• Structure of coherent vortices generated by the inverse cascade of two-dimensional turbulence in a finite box
• Jets or vortices - what flows are generated by an inverse turbulent cascade?
• Velocity statistics inside coherent vortices generated by the inverse cascade of $2d$ turbulence
• The culmination of an inverse cascade: mean flow and fluctuations
• Pair correlation function of vorticity in a coherent vortex

Cited by in corpus (1)

• Correlations in a weakly interacting two-dimensional random flow