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arXiv · 0710.5612

Dynamics of a 1-D model for the emergence of the plasma edge shear flow layer with momentum conserving Reynolds stress

Ivan Calvo·Benjamin A. Carreras
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Abstract

A one-dimensional version of the second-order transition model based on the sheared flow amplification by Reynolds stress and turbulence supression by shearing is presented. The model discussed in this paper includes a form of the Reynolds stress which explicitly conserves momentum. A linear stability analysis of the critical point is performed. Then, it is shown that the dynamics of weakly unstable states is determined by a reduced equation for the shear flow. In the case in which the flow damping term is diffusive, the stationary solutions are those of the real Ginzburg-Landau equation.

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Ivan Calvo, Benjamin A. Carreras. 2007-10-30. Dynamics of a 1-D model for the emergence of the plasma edge shear flow layer with momentum conserving Reynolds stress. https://doi.org/10.1063/1.2790891

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