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• W2534433350 abstract "We show that one can formulate second-order field- and flux-interpolated constrained transport/central difference (CT/CD) type methods as cell-centered magnetic vector potential schemes. We introduce four vector potential CTA/CDA schemes - three of which correspond to CT/CD methods of Toth (2000) 1 and one of which is a new simple flux-CT-like scheme - where the centroidal vector potential is the primal update variable. These algorithms conserve a discretization of the ź ź B = 0 condition to machine precision and may be combined with shock-capturing Godunov type base schemes for magnetohydrodynamics. Recasting CT in terms of a centroidal vector potential allows for some simple generalizations of divergence-preserving methods to unstructured meshes, and potentially new directions to generalize CT schemes to higher-order." @default.
• W2534433350 created "2016-10-28" @default.
• W2534433350 creator A5002076953 @default.
• W2534433350 date "2017-01-01" @default.
• W2534433350 modified "2023-09-24" @default.
• W2534433350 title "Correspondence between constrained transport and vector potential methods for magnetohydrodynamics" @default.
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• W2534433350 doi "https://doi.org/10.1016/j.jcp.2016.09.059" @default.
• W2534433350 hasPublicationYear "2017" @default.
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