Energy Fluxes and Shell-to-Shell Transfers in MHD Turbulence

  • Daniele Carati
  • Olivier Debliquy
  • Bernard Knaepen
  • Bogdan Teaca
  • Mahendra Verma
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 56)


A spectral analysis of the energy cascade in magnetohydrodynamics (MHD) is presented using high resolution direct numerical simulations of both forced and decaying isotropic turbulence. The triad interactions between velocity and magnetic field modes are averaged into shell interactions between similar length scales phenomena. This is achieved by combining all the velocity Fourier modes that correspond to wave vectors with similar amplitude into a shell velocity variable. The same procedure is adopted for the magnetic field. The analysis of the interactions between these shell variables gives a global picture of the energy transfers between different length scales, as well as between the velocity and the magnetic fields. Also, two different attempts to separate the shell-to-shell interactions into forward and backward energy transfers are proposed. They provide diagnostics that can be used in order to assess subgrid-scale modelling in large-eddy simulation for turbulent MHD systems.


Energy Transfer Triad Interaction Decay Turbulence Magnetic Prandtl Number Forced Turbulence 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Daniele Carati
    • 1
  • Olivier Debliquy
    • 1
  • Bernard Knaepen
    • 1
  • Bogdan Teaca
    • 2
  • Mahendra Verma
    • 3
  1. 1.Statistical and Plasma PhysicsUniversité Libre de BruxellesBrusselsBelgium
  2. 2.Faculty of PhysicsCraiovaRomania
  3. 3.Department of PhysicsI. I. T. KanpurKanpurIndia

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