Numerical derivation of steady flows in visco-resistive magnetohydrodynamics for JET and ITER-like geometries with no symmetry breaking

  • H. Oueslati
  • , T. Bonnet
  • , N. Minesi
  • , M. C. Firpo
  • , A. Salhi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Plasma rotation proves to have important effects on the improvement of the confinement and on the entrance into the H-mode of improved confinement in tokamaks. To consider this issue, we propose to determine numerically the steady states of the visco-resistive MHD equations including the non-linear (v.?)v term. We take into account the external electric field in the toroidal direction used to create the toroidal current required in a tokamak to create the poloidal component of the magnetic field. Numerical results in JET and ITER geometries obtained using the finite element programming language FreeFem++ are presented. We consider realistic values of the resistivity η and vary the viscosity, ν, of which the realistic order of magnitude is poorly known. The axisymmetric steady-state visco-resistive MHD equations with symmetric boundary conditions are solved using a continuation method on ν and a Newton-Raphson scheme to handle the nonlinearity.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Advances and Applications in Plasma Physics, AAPP 2019
EditorsMichael Tendler, Vladimir Rozhansky, Pavel Goncharov, Anna Kravchuk
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735419261
DOIs
Publication statusPublished - 26 Nov 2019
Event1st International Conference on Advances and Applications in Plasma Physics, AAPP 2019 - St. Petersburg, Russian Federation
Duration: 18 Sept 201920 Sept 2019

Publication series

NameAIP Conference Proceedings
Volume2179
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Conference on Advances and Applications in Plasma Physics, AAPP 2019
Country/TerritoryRussian Federation
CitySt. Petersburg
Period18/09/1920/09/19

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