An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes
2017 ◽
Vol 21
(2)
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pp. 423-442
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AbstractIn this paper we consider a discontinuous Galerkin discretization of the ideal magnetohydrodynamics (MHD) equations on unstructured meshes, and the divergence free constraint (∇·B=0) of its magnetic field B. We first present two approaches for maintaining the divergence free constraint, namely the approach of a locally divergence free projection inspired by locally divergence free elements [19], and another approach of the divergence cleaning technique given by Dedner et al. [15]. By combining these two approaches we obtain a efficient method at the almost same numerical cost. Finally, numerical experiments are performed to show the capacity and efficiency of the scheme.
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2011 ◽
Vol 230
(12)
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pp. 4828-4847
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2016 ◽
Vol 9
(1)
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pp. 73-91
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2013 ◽
Vol 4
(1-2)
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pp. 80-91
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2007 ◽
Vol 168
(1)
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pp. 224-242
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2008 ◽
Vol 23
(11)
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pp. 1697-1710
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