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A Staggered Mesh Algorithm Using High Order Godunov Fluxes to Ensure Solenoidal Magnetic Fields in Magnetohydrodynamic Simulations: Volume 149, Number 1 (1999), pages 270–292

✍ Scribed by Dinshaw S. Balsara; Daniel S. Spicer

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 11 KB
Volume: 153
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1999.6318

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✦ Synopsis

Figures 2 and 3 correspond to different simulation parameters than those stated. To reproduce Figs. 2 and 3 the rotor and ambient density are as stated, but the pressure should be set to 0.5, the ratio of specific heats should be set to 5/3, the rotor's toroidal velocity at a radius of 0.1 should be set to unity, and the magnetic field should be set to 2.5. The parameters given in the paper also produce an interesting rotor problem but at earlier times.

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A Staggered Mesh Algorithm Using High Order Godunov Fluxes to Ensure Solenoidal Magnetic Fields in Magnetohydrodynamic Simulations

✍ Dinshaw S Balsara; Daniel S Spicer 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 238 KB

The equations of magnetohydrodynamics (MHD) have been formulated as a hyperbolic system of conservation laws. In that form it becomes possible to use higher order Godunov schemes for their solution. This results in a robust and accurate solution strategy. However, the magnetic field also satisfies a