Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration
Abstract
A Solovevlike solution describing equilibria with field aligned incompressible flows [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 19, 014504 (2012)] is extended to non parallel flows. The solution expressed as a superposition of Bessel functions contains an arbitrary number of free parameters which are exploited to construct a variety of configurations including ITER shaped ones. For parallel flows, application of a sufficient condition for linear stability shows that this condition is satisfied in an appreciable part of the plasma region on the highfield side mostly due to the variation of the magnetic field perpendicular to the magnetic surfaces. Also, the results indicate that depending on the shape of the Machfunction profile and the values of the free parameters the flow and flow shear may have either stabilizing or destabilizing effects.
 Authors:
 Department of Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
 Publication Date:
 OSTI Identifier:
 22303814
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BESSEL FUNCTIONS; CONFIGURATION; EQUILIBRIUM; INCOMPRESSIBLE FLOW; ITER TOKAMAK; MAGNETIC FIELDS; MAGNETIC SURFACES; MATHEMATICAL SOLUTIONS; PLASMA; SHEAR; STABILITY
Citation Formats
Kaltsas, D. A., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr, and Throumoulopoulos, G. N., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr. Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration. United States: N. p., 2014.
Web. doi:10.1063/1.4892380.
Kaltsas, D. A., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr, & Throumoulopoulos, G. N., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr. Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration. United States. doi:10.1063/1.4892380.
Kaltsas, D. A., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr, and Throumoulopoulos, G. N., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr. Fri .
"Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration". United States.
doi:10.1063/1.4892380.
@article{osti_22303814,
title = {Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration},
author = {Kaltsas, D. A., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr and Throumoulopoulos, G. N., Email: dkaltsas@cc.uoi.gr, Email: gthroum@cc.uoi.gr},
abstractNote = {A Solovevlike solution describing equilibria with field aligned incompressible flows [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 19, 014504 (2012)] is extended to non parallel flows. The solution expressed as a superposition of Bessel functions contains an arbitrary number of free parameters which are exploited to construct a variety of configurations including ITER shaped ones. For parallel flows, application of a sufficient condition for linear stability shows that this condition is satisfied in an appreciable part of the plasma region on the highfield side mostly due to the variation of the magnetic field perpendicular to the magnetic surfaces. Also, the results indicate that depending on the shape of the Machfunction profile and the values of the free parameters the flow and flow shear may have either stabilizing or destabilizing effects.},
doi = {10.1063/1.4892380},
journal = {Physics of Plasmas},
number = 8,
volume = 21,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}

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