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An Unsplit, Cell-Centered Godunov Method for Ideal MHD [electronic resource].

Published
Washington, D.C. : United States. Dept. of Energy, 2003.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
PDF-file: 39 pages; size: 0.3 Mbytes
Additional Creators
Lawrence Berkeley National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
We present a second-order Godunov algorithm for multidimensional, ideal MHD. Our algorithm is based on the unsplit formulation of Colella, with all of the primary dependent variables centered at the same location. To properly represent the divergence-free condition of the magnetic fields, we apply a discrete projection to the intermediate values of the field at cell faces, and apply a filter to the primary dependent variables at the end of each time step. We apply the method to a suite of linear and nonlinear tests to ascertain accuracy and stability of the scheme under a variety of conditions. The test suite includes rotated planar linear waves, MHD shock tube problems, and low-beta flux tubes. For all of these cases, we observe that the algorithm is second-order accurate for smooth solutions, converges to the correct weak solution for problems involving shocks, and exhibits no evidence of instability or loss of accuracy due to the possible presence of non-solenoidal fields.
Report Numbers
E 1.99:ucrl-jrnl-200354
ucrl-jrnl-200354
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Note
Published through SciTech Connect.
10/16/2003.
"ucrl-jrnl-200354"
Published in: Journal of Computational Physics, n/a, n/a, October 6, 2004, Online ISSN 0021-9991; JCTPAH FT
Fisher, R; Klein, R; Crockett, R; McKee, C; Colella, P.
Funding Information
W-7405-ENG-48
View MARC record | catkey: 13823109