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

Takashi Minoshima

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arXiv · 2401.10520

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

Takashi Minoshima

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Abstract

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

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Takashi Minoshima. 2024-01-19. Quasi all-speed schemes for magnetohydrodynamic flows in a wide range of Mach numbers. https://arxiv.org/abs/2401.10520

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