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SIAMSC

2010

2010

Magnetohydrodynamics (MHD) is a ﬂuid theory that describes Plasma Physics by treating the plasma as a ﬂuid of charged particles. Hence, the equations that describe the plasma form a nonlinear system that couples Navier-Stokes with Maxwell’s equations. This paper shows that the ﬁrst-order system least squares ﬁnite element method (FOSLS) is a viable discretization for these large MHD systems. To solve this system, a nestediteration-Newton-FOSLS-AMG approach is taken. Most of the work is done on the coarse grid, including most of the linearizations. We show that at most one Newton step and a few V-cycles are all that is needed on the ﬁnest grid. Here, we describe how the FOSLS method can be applied to incompressible resistive MHD and how it can be used to solve these MHD problems eﬃciently. A 3D steady state and a reduced 2D time-dependent test problem are studied. The latter equations can simulate a “large aspect-ratio” tokamak. The goal is to resolve as much physics f...

Added |
30 Jan 2011 |

Updated |
30 Jan 2011 |

Type |
Journal |

Year |
2010 |

Where |
SIAMSC |

Authors |
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge |

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