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Stepanov R, Golbraikh E, Frick P, et al. Hindered Energy Cascade in Highly Helical Isotropic Turbulence. Phys Rev Lett. 2015;115(23):234501doi: 10.1103/PhysRevLett.115.234501.
Stepanov, R., Golbraikh, E., Frick, P., & Shestakov, A. (2015). Hindered Energy Cascade in Highly Helical Isotropic Turbulence. Physical review letters, 115(23), 234501. https://doi.org/10.1103/PhysRevLett.115.234501
Stepanov, Rodion, et al. "Hindered Energy Cascade in Highly Helical Isotropic Turbulence." Physical review letters vol. 115,23 (2015): 234501. doi: https://doi.org/10.1103/PhysRevLett.115.234501
Stepanov R, Golbraikh E, Frick P, Shestakov A. Hindered Energy Cascade in Highly Helical Isotropic Turbulence. Phys Rev Lett. 2015 Dec 04;115(23):234501. doi: 10.1103/PhysRevLett.115.234501. Epub 2015 Dec 01. PMID: 26684120.
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Phys Rev Lett. 2015 Dec 04;115(23):234501. doi: 10.1103/PhysRevLett.115.234501. Epub 2015 Dec 01.

Hindered Energy Cascade in Highly Helical Isotropic Turbulence.

Physical review letters

Rodion Stepanov, Ephim Golbraikh, Peter Frick, Alexander Shestakov

Affiliations

  1. Institute of Continuous Media Mechanics, Korolyov 1, Perm 614013, Russia.
  2. Perm National Research Polytechnic University, Komsomolskii Avenue 29, 614990 Perm, Russia.
  3. Ben-Gurion University, Physics Department, Beer-Sheva 84105, Israel.

PMID: 26684120 DOI: 10.1103/PhysRevLett.115.234501

Abstract

The conventional approach to the turbulent energy cascade, based on Richardson-Kolmogorov phenomenology, ignores the topology of emerging vortices, which is related to the helicity of the turbulent flow. It is generally believed that helicity can play a significant role in turbulent systems, e.g., supporting the generation of large-scale magnetic fields, but its impact on the energy cascade to small scales has never been observed. We suggest, for the first time, a generalized phenomenology for isotropic turbulence with an arbitrary spectral distribution of the helicity. We discuss various scenarios of direct turbulent cascades with new helicity effect, which can be interpreted as a hindering of the spectral energy transfer. Therefore, the energy is accumulated and redistributed so that the efficiency of nonlinear interactions will be sufficient to provide a constant energy flux. We confirm our phenomenology by high Reynolds number numerical simulations based on a shell model of helical turbulence. The energy in our model is injected at a certain large scale only, whereas the source of helicity is distributed over all scales. In particular, we found that the helical bottleneck effect can appear in the inertial interval of the energy spectrum.

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