To the theory vortex dynamo in the astrophysical disk with a gyrotropic turbulence

A. V. Kolesnichenko

Matematičeskoe modelirovanie, Tome 24 (2012) no. 4, pp. 31-56.

Résumé

The problem of formation large and mesoscale coherent vortex structures in a gyrotropic turbulence of the rotaried non-magnetic astrophysical disk surveyed, which one did not yield earlier to examination, as the action of an inverse stage of energy on changes of aircraft attitude of a turbulence of this space object was leave outed. The developed phenomenological theory of a disk mirror — asymmetrical turbulence has filled a gap due to insert in model of the mechanism vortex dynamo, accountable (at suitable definition of a tensor of shift turbulent stresses of Reynolds) for energy flow from shallow vortexes to large, which one can be interpreted as effect of negative viscosity. The insert of this device in model of a gyrotropic turbulence gives in modification of rheological relations for a turbulent flow of heat and tensor of turbulent stresses, and also to some number of the padding developmental equations for quantities such as turbulent energy, velocity of a dissipation, average vorticity and average vortex helicity. The role of a vortex helicity in origin of an inverse energy stage and bound with it process of oscillation of power-intensive coherent vortex formations incipient in a gyrotropic turbulence at major Reynolds numbers is considered. It is drawn a conclusion, that on a measure of more and more reliable endorsement in numerical experiments of the concept of an inverse stage of energy in a three-dimensional gyrotropic turbulence, registration of effect vortex dynamo, influential on synergetic structuring of space matter in the astrophysical non-magneticdisc, gains the relevant role at its model operation.

Détail

Keywords: continuum mechanics, dynamo.
Mots-clés : gyrotropic turbulence

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