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A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics
Alina Chertock, Alexander Kurganov, Michael Redle and Kailiang Wu SIAM Journal on Scientific Computing 46(3) A1998 (2024) https://doi.org/10.1137/22M1539009
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD