A note on magnetic monopoles and the one-dimensional MHD Riemann problem.

DOI10.1006/jcph.2001.6815zbMath1065.35523OpenAlexW2018346330MaRDI QIDQ5951854

Paul J. Dellar

Publication date: 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/37cf76fdaf11c77f1d9e89a64f423e86ca0481ab

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Cites Work

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• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
• An approximate Riemann solver for ideal magnetohydrodynamics
• The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
• A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• Notes on the Eigensystem of Magnetohydrodynamics

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