Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor

  • Authors:

  • B. Flemisch;Y. Maday;F. Rapetti;B. I. Wohlmuth

  • Affiliations:

  • Inst. Ang. Analysis und Numer, Simulation, Univ. Stuttgart, Pfaffenwaldring 57, Stuttgart 70569, Germany;Lab. J.-L. Lions, CNRS & Universitéé de Paris VI, 4 place Jussieu, Paris 05 75252, France;Lab. J.-A. Dieudonné, CNRS & Universitéé de Nice, Parc Valrose, Nice 02 F-06108, France;Inst. Ang. Analysis und Numer, Simulation, Univ. Stuttgart, Pfaffenwaldring 57, Stuttgart 70569, Germany

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Selected papers from the 2nd international conference on advanced computational methods in engineering (ACOMEN2002) Liege University, Belgium, 27-31 May 2002
  • Year:
  • 2004

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Abstract

The T-Ω formulation of the magnetic field has been introduced in many papers for the approximation of the magnetic quantities modelled by the eddy current equations. This decomposition allows to use a scalar function in the main part of the computational domain, reducing the use of vector quantities to the conducting parts. We propose to approximate these two quantities on nonmatching grids so as to be able to tackle a problem where the conducting part can move in the global domain. The connection between the two grids is managed with mortar element techniques.