A Turbulent model of the solar granulation

Abstract

The turbulent nature of the motions on the solar photosphere is being emphasized more and more by the high resolution quality observations. The processes of inverse cascade of energy in a turbulent medium are being explored for modeling the hierarchal flow patterns on the solar surface. Here, the development of large scale flows is studied using the Kolmogorovic arguments for a statistically stationary turbulent fluid as well as through the solution of the Navier-Stokes equations including the Reynold's stresses generated by the small scale flows, in a manner akin to the dynamo problem. Some of the testable predictions of the model are also listed.