A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics

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 optimal...

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Published in:Journal of computational physics 1999-09, Vol.154 (2), p.284-309
Main Authors: Powell, Kenneth G., Roe, Philip L., Linde, Timur J., Gombosi, Tamas I., De Zeeuw, Darren L.
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Language:English
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container_end_page 309
container_issue 2
container_start_page 284
container_title Journal of computational physics
container_volume 154
creator Powell, Kenneth G.
Roe, Philip L.
Linde, Timur J.
Gombosi, Tamas I.
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description 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.
doi_str_mv 10.1006/jcph.1999.6299
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title A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics
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