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September 10, 2025The Astrophysical JournalOpen Access

Physical Constraint Preserving Higher-order Finite Volume Schemes for Divergence-free Astrophysical MHD and RMHD

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Higher-order finite volume schemes improve accuracy in astrophysical MHD and RMHD simulations, addressing extreme conditions.
The introduction of physical constraint preserving methods ensures stability under high Mach numbers and strong magnetic fields.
A novel two-dimensional Riemann solver is crucial for developing these PCP methods for effective magnetic field evolution.
These time-explicit methods achieve design accuracies without significantly increasing computational costs.

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New PCP methods enhance divergence-free behavior in astrophysical MHD and RMHD simulations, suggesting improved stability.

Balsara et al. (2025) studied this question.

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