Fast computation of magnetohydrostatic equilibria using Euler potentials and multigrid methods

Statistics – Computation

Scientific paper

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Equilibrium Equations, Magnetohydrostatics, Multigrid Methods, Solar Corona, Solar Magnetic Field, Computational Grids, Euler Equations Of Motion, Mathematical Models

Scientific paper

The increase in computing power in recent years has made the calculation of nonlinear coronal magnetic fields feasible. The main techniques used in the calculation of 2.5D (two and half dimensional) and three dimensional configurations were based upon finite difference relaxation procedures which are relatively straightforward and are well suited for cases where only low resolution is required. The convergence properties of these methods degrade rapidly with increased resolution thus making large scale, high resolution simulations unattractive. A Full Approximation Storage (FAS) multigrid strategy which overcomes these convergence difficulties is presented. The effectiveness of the strategy is demonstrated for a variety of 2D and 3D magnetic configurations which are relevant to modeling of the solar corona.

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