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.
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References
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Dedner, A., Rohde, C., Wesenberg, M. (2003). A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations. In: Hou, T.Y., Tadmor, E. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55711-8_47
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DOI: https://doi.org/10.1007/978-3-642-55711-8_47
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