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

Journal Article · Mon Oct 15 00:00:00 EDT 2007 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2790891· OSTI ID:21057449

Calvo, I; Carreras, B A ^[1]

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1. Laboratorio Nacional de Fusion, Asociacion EURATOM-CIEMAT, 28040 Madrid (Spain)

A one-dimensional version of the second-order transition model based on the sheared flow amplification by Reynolds stress and turbulence suppression 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.

• OSTI ID: 21057449
• Journal Information: Physics of Plasmas, Vol. 14, Issue 10; Other Information: DOI: 10.1063/1.2790891; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMPLIFICATION
DAMPING
EQUATIONS
GINZBURG-LANDAU THEORY
LAYERS
MATHEMATICAL SOLUTIONS
ONE-DIMENSIONAL CALCULATIONS
PLASMA
REYNOLDS NUMBER
TURBULENCE