An unconditionally stable time-domain discretization on cartesian meshes for the simulation of nonuniform magnetized cold plasma

  • Authors:

  • Wouter Tierens;DaniëL De Zutter

  • Affiliations:

  • Ghent University, Department of Information Technology, Sint-Pietersnieuwstraat 41, Ghent, Belgium;Ghent University, Department of Information Technology, Sint-Pietersnieuwstraat 41, Ghent, Belgium

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

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Abstract

In this paper an unconditionally stable, spatially and temporally implicit time-domain discretization for nonuniform magnetized cold plasma is developed. The discrete dispersion relation is free of spurious solutions and approximates the continuous dispersion relation for well-resolved wavelengths and frequencies (k@D@?@p,@w@D"t@?@p). For a specific choice of parameters, the discrete dispersion relation approximates the continuous dispersion relation for all wavelengths and frequencies up to the Nyquist limit. A few examples, amongst them one involving mode conversion, illustrate the new method.