Helical shell models for three-dimensional turbulence.

  title={Helical shell models for three-dimensional turbulence.},
  author={Benzi and Biferale and Kerr and Trovatore},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume={53 4},
In this paper we study a new class of shell models, defined in terms of two complex dynamical variables per shell, transporting positive and negative helicity respectively. The dynamical equations are derived from a decomposition into helical modes of the velocity Fourier components of Navier-Stokes equations (F. Waleffe, Phys. Fluids A 4, 350 (1992)). This decomposition leads to four different types of shell models, according to the possible non-equivalent combinations of helicities of the… CONTINUE READING