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• W2000542962 abstract "We present a highly robust second order accurate scheme for the Euler equations and the ideal MHD equations. The scheme is of predictor–corrector type, with a MUSCL scheme following as a special case. The crucial ingredients are an entropy stable approximate Riemann solver and a new spatial reconstruction that ensures positivity of mass density and pressure. For multidimensional MHD, a new discrete form of the Powell source terms is vital to ensure the stability properties. The numerical examples show that the scheme has superior stability compared to standard schemes, while maintaining accuracy. In particular, the method can handle very low values of pressure (i.e. low plasma β or high Mach numbers) and low mass densities." @default.
• W2000542962 created "2016-06-24" @default.
• W2000542962 creator A5089424158 @default.
• W2000542962 date "2009-12-01" @default.
• W2000542962 modified "2023-10-14" @default.
• W2000542962 title "A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics" @default.
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• W2000542962 doi "https://doi.org/10.1016/j.jcp.2009.08.020" @default.
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