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A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

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  • Andreas Dedner

    (Universität Freiburg, Institut für Angewandte Mathematik)

  • Christian Rohde

    (Universität Freiburg, Institut für Angewandte Mathematik)

  • Matthias Wesenberg

    (Universität Freiburg, Institut für Angewandte Mathematik)

Abstract

In this paper we present a number of approaches for reducing the divergence errors in magnetohydrodynamic simulations. The methods are derived from a general framework, which for example also includes the Hodge projection scheme. The corrections can be easily added to an existing scheme as is demonstrated for a finite-volume scheme. Numerical results in 2d and 3d confirm the advantages of our approach.

Suggested Citation

  • Andreas Dedner & Christian Rohde & Matthias Wesenberg, 2003. "A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 509-518, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_47
    DOI: 10.1007/978-3-642-55711-8_47
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