A fourth-order accurate finite volume method for ideal MHD via upwind constrained transport

•A fourth-order accurate method for the numerical solution of the equations of ideal magnetohydrodynamics (MHD) is proposed.•The piecewise parabolic method (PPM) in the upwind constrained transport framework satisfies the divergence-free constraint.•Modern PPM limiters provide MHD shock-capturing ab...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 375; no. C; pp. 1365 - 1400
Main Authors:	Felker, Kyle Gerard, Stone, James M.
Format:	Journal Article
Language:	English
Published:	Cambridge Elsevier Inc 15.12.2018 Elsevier Science Ltd Elsevier
Subjects:	Astrophysics Computational fluid dynamics Computational physics Conservation laws Constrained transport Divergence Finite volume method Fluid flow Fluid mechanics Formulations High-order finite volume method Magnetic fields Magnetohydrodynamics MATHEMATICS AND COMPUTING Numerical analysis Numerical methods Robustness (mathematics) Theory of constraints Transport High-order finite volume method Magnetohydrodynamics Constrained transport Numerical methods
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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