An Adaptive MHD Method for Global
Space Weather Simulations
D.L. De Zeeuw, T.I. Gombosi, Clinton P.T. Groth, Kenneth G. Powell,
Q F. Stout
Center for Space Environment Modeling
University of Michigan
Abstract:
A 3D parallel adaptive mesh refinement (AMR) scheme is described for
solving the partialdifferential equations governing ideal
magnetohydrodynamic (MHD) flows. This new algorithm adopts
a cellcentered upwind finitevolume discretization procedure and
uses limited solution reconstruction, approximate Riemann solvers,
and explicit multistage time stepping to solve the MHD equations
in divergence form, providing a combination of high solution
accuracy and computational robustness across a large range in
the plasma beta (beta is the ratio of thermal and magnetic
pressures). The data structure naturally lends itself to domain
decomposition, thereby enabling efficient and scalable implementations
on massively parallel supercomputers. Numerical results for MHD
simulations of magnetospheric plasma flows are described to
demonstrate the validity and capabilities of the approach for
space weather applications.
Keywords:
high performance computing, parallel computing, supercomputing,
adaptive blocks,
adaptive mesh refinement, Cartesian adaptive grid,
space weather, space physics,
computer science
Complete paper.
This paper appears in IEEE Transactions on Plasma Science 28 (2000),
pp. 19561965.
IEEE digitized tpaper and made it available.
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