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A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics

✍ Scribed by Kenneth G. Powell; Philip L. Roe; Timur J. Linde; Tamas I. Gombosi; Darren L. De Zeeuw

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
893 KB
Volume
154
Category
Article
ISSN
0021-9991

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✦ Synopsis

This paper presents a computational scheme for compressible magnetohydrodynamics (MHD). The scheme is based on the same elements that make up many modern compressible gas dynamics codes: a high-resolution upwinding based on an approximate Riemann solver for MHD and limited reconstruction; an optimally smoothing multi-stage time-stepping scheme; and solution-adaptive refinement and coarsening. In addition, a method for increasing the accuracy of the scheme by subtracting off an embedded steady magnetic field is presented. Each of the pieces of the scheme is described, and the scheme is validated and its accuracy assessed by comparison with exact solutions. Results are presented for two three-dimensional calculations representative of the interaction of the solar wind with a magenetized planet.

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