Numerical Derivation of Steady Flows in Visco-resistive Magnetohydrodynamics for JET and ITER-like Geometries with no Symmetry Breaking - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue AIP Conference Proceedings Année : 2019

Numerical Derivation of Steady Flows in Visco-resistive Magnetohydrodynamics for JET and ITER-like Geometries with no Symmetry Breaking

H Oueslati
  • Fonction : Auteur
T Bonnet
  • Fonction : Auteur
A. Salhi
  • Fonction : Auteur

Résumé

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.
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hal-02379461 , version 1 (25-11-2019)

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H Oueslati, T Bonnet, N Minesi, Marie-Christine Firpo, A. Salhi. Numerical Derivation of Steady Flows in Visco-resistive Magnetohydrodynamics for JET and ITER-like Geometries with no Symmetry Breaking. AIP Conference Proceedings, 2019, ⟨10.1063/1.5135482⟩. ⟨hal-02379461⟩
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