Role of helicity in triad interactions in three-dimensional turbulence investigated by a new shell model.

  title={Role of helicity in triad interactions in three-dimensional turbulence investigated by a new shell model.},
  author={Nicholas M. Rathmann and Peter D. Ditlevsen},
  journal={Physical review. E},
  volume={94 3-1},
Fully developed homogeneous isotropic turbulence in two dimensions is fundamentally different from that in three dimensions. In two dimensions, the simultaneous inviscid conservation of both kinetic energy and enstrophy within the inertial range of scales leads to a forward cascade of enstrophy and a reverse cascade of energy. In three dimensions, helicity, the integral of the scalar product of velocity and vorticity, is also an inviscid flow invariant along with the energy. Unlike the… 

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