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Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics. (English) Zbl 0716.76056
Summary: A prescription is given for conservatively integrating generalized hydromagnetic equations using flux-corrected transport (FCT) techniques. By placing the magnetic-field components at the interface locations of the finite-difference grid, the field is kept divergence-free to within machine roundoff error. The use of FCT techniques allows an integration scheme of high accuracy to be employed, while the numerical ripples associated with large dispersion errors are avoided. The method is particularly well suited for problems involving magnetohydrodynamic shocks and other discontinuities.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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