Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 221, Issue 1, Pages 349-369Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2006.06.045
Keywords
finite elements; discontinuous galerkin; magnetohydrodynamics; dynamo action
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The Maxwell equations in the magnetohydrodynamic (MHD) limit in heterogeneous domains composed of conducting and non-conducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an Interior Penalty technique A la Baker [Finite element methods for elliptic equations using non-conforming elements, Math. Comp. 31 (137) (1977) 45-59]. The method is shown to be stable and convergent and is validated by convergence tests. It is used to compute Ohmic decay in various compact conducting domains and to simulate the kinematic dynamo action in two different geometries. Published by Elsevier Inc.
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