Remapping HELENA to incompressible plasma rotation parallel to the magnetic field
Abstract
Plasma rotation in connection to both zonal and mean (equilibrium) flows can play a role in the transitions to the advanced confinement regimes in tokamaks, as the LH transition and the formation of internal transport barriers (ITBs). For incompressible rotation, the equilibrium is governed by a generalised GradShafranov (GGS) equation and a decoupled Bernoullitype equation for the pressure. For parallel flow, the GGS equation can be transformed to one identical in form with the usual GradShafranov equation. In the present study on the basis of the latter equation, we have extended HELENA, an equilibrium fixed boundary solver. The extended code solves the GGS equation for a variety of the two freesurfacefunction terms involved for arbitrary Alfvén Mach number and density functions. We have constructed divertedboundary equilibria pertinent to ITER and examined their characteristics, in particular, as concerns the impact of rotation on certain equilibrium quantities. It turns out that the rotation and its shear affect noticeably the pressure and toroidal current density with the impact on the current density being stronger in the parallel direction than in the toroidal one.
 Authors:
 Physics Department, University of Ioannina, Ioannina 451 10 (Greece)
 MaxPlanck Institut für Plasma Physics, 85748 Garching bei München (Germany)
 Publication Date:
 OSTI Identifier:
 22599997
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 7; Other Information: (c) 2016 EURATOM; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHARGEDPARTICLE TRANSPORT; CURRENT DENSITY; EQUILIBRIUM; GRADSHAFRANOV EQUATION; ITER TOKAMAK; MACH NUMBER; MAGNETIC FIELDS; PLASMA; PLASMA CONFINEMENT; ROTATING PLASMA; TRANSPORT THEORY
Citation Formats
Poulipoulis, G., Throumoulopoulos, G. N., and Konz, C.. Remapping HELENA to incompressible plasma rotation parallel to the magnetic field. United States: N. p., 2016.
Web. doi:10.1063/1.4955326.
Poulipoulis, G., Throumoulopoulos, G. N., & Konz, C.. Remapping HELENA to incompressible plasma rotation parallel to the magnetic field. United States. doi:10.1063/1.4955326.
Poulipoulis, G., Throumoulopoulos, G. N., and Konz, C.. 2016.
"Remapping HELENA to incompressible plasma rotation parallel to the magnetic field". United States.
doi:10.1063/1.4955326.
@article{osti_22599997,
title = {Remapping HELENA to incompressible plasma rotation parallel to the magnetic field},
author = {Poulipoulis, G. and Throumoulopoulos, G. N. and Konz, C.},
abstractNote = {Plasma rotation in connection to both zonal and mean (equilibrium) flows can play a role in the transitions to the advanced confinement regimes in tokamaks, as the LH transition and the formation of internal transport barriers (ITBs). For incompressible rotation, the equilibrium is governed by a generalised GradShafranov (GGS) equation and a decoupled Bernoullitype equation for the pressure. For parallel flow, the GGS equation can be transformed to one identical in form with the usual GradShafranov equation. In the present study on the basis of the latter equation, we have extended HELENA, an equilibrium fixed boundary solver. The extended code solves the GGS equation for a variety of the two freesurfacefunction terms involved for arbitrary Alfvén Mach number and density functions. We have constructed divertedboundary equilibria pertinent to ITER and examined their characteristics, in particular, as concerns the impact of rotation on certain equilibrium quantities. It turns out that the rotation and its shear affect noticeably the pressure and toroidal current density with the impact on the current density being stronger in the parallel direction than in the toroidal one.},
doi = {10.1063/1.4955326},
journal = {Physics of Plasmas},
number = 7,
volume = 23,
place = {United States},
year = 2016,
month = 7
}

Theoretical results relative to the laminar motion of an electrically conducting and incompressible fluid set in motion in a restricted medium by the slow and uniform rotation of a disk in the presence of an axial magnetic field are given for both the case of a finite and a nonexistent induced electric current. According to the electrical conditions, the experimental studies confirm the existence of a slowingdown or an acceleration of the fluid. (FR)