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We present novel numerical schemes for ideal magnetohydrodynamic (MHD)simulations aimed at enhancing stability against numerical shock instabilityand improving the accuracy of low-speed flows in multidimensions. Stringentbenchmark tests confirm that our scheme is more robust against numerical shockinstability and is more accurate for low-speed, nearly incompressible flowsthan conventional shock-capturing schemes. Our scheme is a promising tool fortackling MHD systems, including both high and low Mach number flows.

Quasi all-speed schemes for magnetohydrodynamic flows in a wide range of Mach numbers