Finite Volume Central Schemes for Three-Dimensional Ideal MHD

P. Arminjon () and R. Touma
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P. Arminjon: Université de Montréal, Centre de RecherchesMathématiques

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 323-330 from Springer

Abstract: We present second-order accurate central finite volume methods adapted here to three-dimensional problems in ideal magnetohydrodynamics. These methods alternate between two staggered grids, thus leading to Riemann solver-free algorithms with relatively favorable computing times. The original grid considered in this paper is Cartesian, while the dual grid features either Cartesian or diamond-shaped oblique dual cells. The div.B = 0 constraint on the magnetic field is enforced with a suitable adaptation of the constrained transport method to our central schemes. Numerical experiments show the feasibility of these methods and our results are in good agreement with existing results in the literature.

Keywords: Central Scheme; Stagger Grid; Dual Cell; Original Grid; Ideal Magnetohydrodynamic (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_27

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DOI: 10.1007/978-3-540-75712-2_27

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