EGU22-5115, updated on 27 Mar 2022
https://doi.org/10.5194/egusphere-egu22-5115
EGU General Assembly 2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

Quantification of the cross-helicity cascade with Karman-Howarth-Monin and Spectral transfer equations

Victor Montagud-Camps1, Petr Hellinger1, Andrea Verdini2,3, Emanuele Papini3,4, Luca Franci5, Lorenzo Matteini6, and Simone Landi2,3
Victor Montagud-Camps et al.
  • 1Astronomical Institute, Czech Academy of Sciences, Boční II 1401, 141 00 Prague, Czech Republic (victor.montagud-camps@asu.cas.cz)
  • 2Università di Firenze, Dipartimento di Fisica e Astronomia, Firenze, Italy
  • 3INAF, Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, I-50125 Firenze, Italy
  • 4Instituto di Astrofisica e Planetologia Spaziali, via del Fosso del Cavaliere 100, I-00133 Roma,Italy
  • 5School of Physics and Astronomy, Queen Mary University of London, London E1 4NS, United Kingdom
  • 6Imperial Colege, London, UK

Spectral transfer equations allow to  quantify the value of the energy flux of a turbulent flow across concentric shells in Fourier space. Karman-Howarth-Monin equations serve as a complement to the Spectral Transfer analysis, since they  quantify  as well the energy transfer rate of turbulence across scales via third-order structure functions, but also provide information on the directionality of the flux. We have extended the use of these methods to study the cascade of cross-helicity and compare it to the energy cascade  in 3D compressible MHD simulations. Our results show that the cross-helicity cascade reaches stationarity after the energy cascade, thus indicating a slower turbulence development for this invariant. Once fully developed, the cross-helicity cascade matches the main features of the energy one.

How to cite: Montagud-Camps, V., Hellinger, P., Verdini, A., Papini, E., Franci, L., Matteini, L., and Landi, S.: Quantification of the cross-helicity cascade with Karman-Howarth-Monin and Spectral transfer equations, EGU General Assembly 2022, Vienna, Austria, 23–27 May 2022, EGU22-5115, https://doi.org/10.5194/egusphere-egu22-5115, 2022.

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