Issue No. 02 - March/April (2004 vol. 6)

ISSN: 1521-9615

pp: 14-35

Ward B. Manchester , University of Michigan

Darren L. De Zeeuw , University of Michigan

Quentin F. Stout , University of Michigan

Tamas I. Gombosi , University of Michigan

G?bor T? , University of Michigan and E?tv?s University Budapest, Hungary

C. Robert Clauer , University of Michigan

Aaron J. Ridley , University of Michigan

Kenneth C. Hansen , University of Michigan

Igor V. Sokolov , University of Michigan

Kenneth G. Powell , University of Michigan

Ilia I. Roussev , University of Michigan

ABSTRACT

<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>

INDEX TERMS

magnetohydrodynamics, geophysical modeling, plasma simulation, solar wind, corona mass ejection

CITATION

Ward B. Manchester, Darren L. De Zeeuw, Quentin F. Stout, Tamas I. Gombosi, G?bor T?, C. Robert Clauer, Aaron J. Ridley, Kenneth C. Hansen, Igor V. Sokolov, Kenneth G. Powell, Ilia I. Roussev, "Solution-Adaptive Magnetohydrodynamics for Space Plasmas: Sun-to-Earth Simulations",

*Computing in Science & Engineering*, vol. 6, no. , pp. 14-35, March/April 2004, doi:10.1109/MCISE.2004.1267603SEARCH