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Toth, G., D. L. DeZeeuw, T.I. Gombosi, ``The effects of divergence B errors on global MHD magnetospheric simulations'' presented at the Spring Meeting of the American Geophysical Union, Washington, D. C., May, 2000. Abstract: We perform global MHD magnetospheric simulations with three different discretizations with respect to the magnetic field. The simplest scheme is the 8-wave formulation, which allows truncation errors in divergence B, but the MHD equations are discretized in a form which takes the non zero div B into account. The second approach is the constrained transport algorithm, which uses a special discretization for the induction equation to ensure the exact conservation of div B. Finally, the projection scheme removes the non-physical part of the magnetic field using a projection that involves a Poisson problem. All three methods are built around a TVD-MUSCL scheme, which is a shock capturing second order oscillation free method, well suited for high Mach number flows. We compare the efficiency and accuracy of the three different approaches for a particularly challenging problem: the global three dimensional MHD model of the magnetosphere. The schemes are also evaluated with respect to their parallel scalability and their potential use combined with adaptive mesh refinement. Massively parallel computing and adaptive meshes have been found very successful for high resolution simulations. Related Information: For more information, visit the Divergence B page on this site.
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