Non-universal behaviour of helical two-dimensional three-component turbulence

Abstract

The dynamics of two-dimensional three-component (2D3C) flows is relevant to describe the long-time evolution of strongly rotating flows and/or of conducting fluids with a strong mean magnetic field. We show that in the presence of a strong helical forcing, the out-of-plane component ceases to behave as a passive advected quantity and develops a nontrivial dynamics which deeply changes its large-scale properties. We show that a small-scale helicity injection correlates the input on the 2D component with the one on the out-of-plane component. As a result, the third component develops a non-trivial energy transfer. The latter is mediated by homochiral triads, confirming the strong 3D nature of the leading dynamical interactions. In conclusion, we show that the out-of-plane component in a 2D3C flow enjoys strong non-universal properties as a function of the degree of mirror symmetry of the small-scale forcing.

References in corpus (6)

• Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
• Coherent structures and extreme events in rotating multiphase turbulent flows
• Helicity cascades in rotating turbulence
• Energy transfer in turbulence under rotation
• Rotating Taylor-Green Flow
• From two-dimensional to three-dimensional turbulence through two-dimensional three-component flows

Cited by in corpus (5)

• Cascades and transitions in turbulent flows
• Energy transfer in turbulence under rotation
• Role of the forcing dimensionality in thin-layer turbulent energy cascades
• Statistical mechanics of $d$-dimensional flows and cylindrically reduced passive scalars
• Helicity dynamics, inverse and bi-directional cascades in fluid and MHD turbulence: A brief review