An adaptive MHD method for global space weather simulations

A 3D parallel adaptive mesh refinement (AMR) scheme is described for solving the partial-differential equations governing ideal magnetohydrodynamic (MHD) flows. This new algorithm adopts a cell-centered upwind finite-volume discretization procedure and uses limited solution reconstruction, approxima...

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Bibliographic Details
Published in:IEEE transactions on plasma science 2000-12, Vol.28 (6), p.1956-1965
Main Authors: De Zeeuw, D.L., Gombosi, T.I., Groth, C.P.T., Powell, K.G., Stout, Q.F.
Format: Article
Language:English
Subjects:
Adaptive mesh refinement
Algorithms
Computational modeling
Computer simulation
Data structures
Equations
Magnetic domains
Magnetism
Magnetohydrodynamics
Magnetosphere
Mathematical analysis
Mathematical models
MHD
Plasma
Plasma simulation
Robustness
Simulation
Space
Space weather
Supercomputers
Three dimensional
Weather
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Description
Summary:A 3D parallel adaptive mesh refinement (AMR) scheme is described for solving the partial-differential equations governing ideal magnetohydrodynamic (MHD) flows. This new algorithm adopts a cell-centered upwind finite-volume discretization procedure and uses limited solution reconstruction, approximate Riemann solvers, and explicit multi-stage 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 /spl beta/ (/spl 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.
ISSN:0093-3813
1939-9375
DOI:10.1109/27.902224