A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations

Andreas Dedner (), Christian Rohde () and Matthias Wesenberg ()
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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

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 509-518 from Springer

Abstract: 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.

Keywords: Divergence Clean; Divergence Constraint; Induction Equation; Mixed Approach; Magnetohydrodynamic Simulation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_47

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DOI: 10.1007/978-3-642-55711-8_47

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