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Issue No. 02 - March/April (2004 vol. 6)
ISSN: 1521-9615
pp: 14-35
Tamas I. Gombosi , University of Michigan
Kenneth G. Powell , University of Michigan
Darren L. De Zeeuw , University of Michigan
C. Robert Clauer , University of Michigan
Kenneth C. Hansen , University of Michigan
Ward B. Manchester , University of Michigan
Aaron J. Ridley , University of Michigan
Ilia I. Roussev , University of Michigan
Igor V. Sokolov , University of Michigan
Quentin F. Stout , University of Michigan
G?bor T? , University of Michigan and E?tv?s University Budapest, Hungary
<p>The first part of this paper reviews some physics issues representing major computational challenges for global MHD models of the space environment. These issues include: (i) mathematical formulation and discretization of the governing equations that ensure the proper jump conditions and propagation speeds, (ii) regions of relativistic Alfv?n speed, and (iii) controlling the divergence of the magnetic field. The second part of the paper concentrates to modern solution methods that have been developed by the aerodynamics, applied mathematics and DoE communities. Such methods have recently begun to be implemented in space-physics codes, which solve the governing equations for a compressible magnetized plasma. These techniques include high-resolution upwind schemes, block-based solution-adaptive grids and domain decomposition for parallelization. While some of these techniques carry over relatively straightforwardly to space physics, space physics simulations pose some new challenges. Finally, the third part of the paper describes the applications of the code to space weather simulations.</p>
magnetohydrodynamics, geophysical modeling, plasma simulation, solar wind, corona mass ejection

W. B. Manchester et al., "Solution-Adaptive Magnetohydrodynamics for Space Plasmas: Sun-to-Earth Simulations," in Computing in Science & Engineering, vol. 6, no. , pp. 14-35, 2004.
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