Helically Decomposed Turbulence

Abstract

A decomposition of the energy and helicity fluxes in a turbulent hydrodynamic flow is proposed. The decomposition is based on the projection of the flow to a helical basis that allows to investigate separately the role of interactions among modes of different helicity. The proposed formalism is then applied in large scale numerical simulations of a non-helical and a helical flow, where the decomposed fluxes are explicitly calculated. It is shown that the total energy flux can be split in to three fluxes that independently remain constant in the inertial range. One of these fluxes that corresponds to the interactions of fields with the same helicity is negative implying the presence of an inverse cascade that is `hidden' inside the forward cascade. Similar to the energy flux the helicity flux is also shown that it can be decomposed to two fluxes that remain constant in the inertial range. Implications of these results as well possible new directions for investigations are discussed.

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Cited by in corpus (32)

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• Energy transfer in turbulence under rotation
• Energy Cascade and Intermittency in Helically Decomposed Navier-Stokes Equations
• Discontinuous transition from direct to inverse cascade in three-dimensional turbulence
• From two-dimensional to three-dimensional turbulence through two-dimensional three-component flows
• On the thermal equilibrium state of large scale flows
• Inverse cascade of energy in helical turbulence
• Dual channels of helicity cascade in turbulent flows
• Phase transitions and flux-loop metastable states in rotating turbulence
• Energy-flux vector in anisotropic turbulence: application to rotating turbulence
• Energy fluxes in quasi-equilibrium flows
• Helical Fluid and (Hall)-MHD Turbulence: a Brief Review
• On the inverse energy transfer in rotating turbulence
• Effects of helicity on dissipation in homogeneous box turbulence
• The nature of triad interactions in active turbulence
• Triad interactions and the bidirectional turbulent cascade of magnetic helicity
• Pseudo-invariants causing inverse energy cascades in three-dimensional turbulence
• Non-universal behaviour of helical two-dimensional three-component turbulence
• A closure theory for the split energy-helicity cascades in homogeneous isotropic homochiral turbulence
• Effects of forcing mechanisms on the multiscale properties of magnetohydrodynamics
• Chaotic and regular instantons in helical shell models of turbulence
• Dynamic Phase Alignment in Navier-Stokes Turbulence
• New Exact Betchov-like Relation for the Helicity Flux in Homogeneous Turbulence
• Inverse cascade suppression and shear layer formation in MHD turbulence subject to a guide field and misaligned rotation
• Partial invariants, large-scale dynamo action, and the inverse transfer of magnetic helicity
• Shell Models on Recurrent Sequences: Fibonacci, Padovan and Other Series
• Inverse transfer of magnetic helicity in direct numerical simulations of compressible isothermal turbulence: helical transfers
• Energy, enstrophy and helicity transfers in polymeric turbulence
• $\lambda$-Navier-Stokes turbulence
• A self-induced mechanism of large-scale helical structures in compressible turbulent flows
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• Alignments of Triad Phases in 1D Burgers and 3D Navier-Stokes Flows