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Paper: Cure for the Carbuncle Instability Based on the Characteristics of the MHD Equations
Volume: 385, Numerical Modeling of Space Plasma Flows: Astronum-2007
Page: 259
Authors: Hanawa, T.; Mikami, H.; Matsumoto, T.
Abstract: We have developed a numerical simulation scheme for three-dimensional magnetohydrodynamical flow with shocks. The numerical scheme is based on the Roe-type scheme and includes additional numerical viscosity to care the carbuncle instability. The numerical viscosity is added only in the regions where the characteristics of either fast or slow waves converges, i.e., in the regions potentially dangerous to the carbuncle instability. Accordingly, the numerical viscosity is as small as that of the Roe scheme except near the shock fronts. We show application of the scheme to the magnetohydrodynamical simulations of type II supernova. It is also proved that the scheme is free from the odd-even decoupling
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