Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

We briefly review helicity dynamics, inverse and bidirectional cascades in fluid and
magnetohydrodynamic (MHD) turbulence, with an emphasis on the latter. The energy of a …

A decomposition of the energy and helicity fluxes is used to analyse turbulent hydrodynamic
flows. The decomposition is based on the projection of the flow to a helical basis. This allows …

Inviscid invariants of flow equations are crucial in determining the direction of the turbulent
energy cascade. In this work we investigate a variant of the three-dimensional Navier-Stokes …

In homogeneous and isotropic turbulence, the relative contributions of different physical
mechanisms to the energy cascade can be quantified by an exact decomposition of the …

Turbulent flows are special examples of extended dynamical systems distinguished by their
intermittent, chaotic, and irreversible behavior. However, the exact nature of the effect of …

In hydrodynamic (HD) turbulence, an exact decomposition of the energy flux across scales
has been derived that identifies the contributions associated with vortex stretching and strain …

Using direct numerical simulations, we demonstrate that magnetic helicity exhibits a
bidirectional turbulent cascade at high but finite magnetic Reynolds numbers. Despite the …

We study the energy transfer properties of three-dimensional homogeneous and isotropic
turbulence where the nonlinear transfer is altered in a way that helicity is made sign-definite …

The inverse transfer of magnetic helicity is a fundamental process that may explain large-
scale magnetic structure formation and sustainment. Until very recently, direct numerical …