Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method

Authors:
J. -L. Guermond;R. Laguerre;J. Léorat;C. Nore
Affiliations:
Department of Mathematics, Texas A&M University, 3368 TAMU, College Station, TX 77843-3368, USA;Department of Mathematics, Texas A&M University, 3368 TAMU, College Station, TX 77843-3368, USA and Laboratoire d'Informatique pour la Méécanique et les Sciences de l'Ingénieur, CNR ...;Luth, Observatoire de Paris-Meudon, place Janssen, 92195-Meudon, France;Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur, CNRS, BP 133, 91403 Orsay cedex, France and Université Paris Sud 11, Département de Physique, 91405 ...
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

The Maxwell equations in the MHD limit in heterogeneous axisymmetric domains composed of conducting and non-conducting regions are solved by using a mixed Fourier/Lagrange finite element technique. Finite elements are used in the meridian plane and Fourier modes are used in the azimuthal direction. Parallelization is made with respect to the Fourier modes. Continuity conditions across interfaces are enforced using an interior penalty technique. The performance of the method is illustrated on kinematic and full dynamo configurations.