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2006 SIAM Annual Meeting MinisymposiumAdvances in Computational MagnetohydrodynamicsAbstractImproved understanding of the physics of plasmas through numerical simulation has important applications in fields such as prediction of space weather and fusion-based power generation systems. Computational magnetohydrodynamics presents significant challenges due to the wide range of spatial and temporal scales (spanning more than 10 orders of magnitude) and strongly anisotropic and nonlinear effects that arise from self-generated or external electric and magnetic fields. We will discuss advanced computational techniques in magnetohydrodynamics that are designed to address these challenges.
PresentationsF. Dobrian, S. Ovtchinnikov, X.-C. Cai, and D. E. Keyes, "Domain Decomposed Implicit Methods for Model Magnetohydrodynamics Problems" D. R. Reynolds, "Preconditioning Implicit Simulations of Resistive Fusion Plasmas" L. Chacon, "A Fully Implicit Hall MHD Algorithm in 3D" S. Jardin, "An Implicit Method for Magnetic Fusion Mhd Calculations Using Adaptive, High-Order, High-Continuity Finite Elements" K. Germaschewski and A. Bhattacharjee, "Studies of the Nonlinear Evolution of the m=1 Sawtooth Mode in Extended MHD Models Using Adaptive Mesh Refinement" R. Samtaney, "Adaptive Mesh Simulations of Pellet Injection in Tokamaks" G. Toth, D. De Zeeuw, K. Powell, and T. Gombosi, "Block-Adaptive Parallel Explicit/implicit MHD Simulations in Space Physics: the Art of Compromise" B. Philip, M. Pernice, and L. Chacon, "Fully Implicit Adaptive Mesh Refinement for Reduced Resistive Magnetohydrodynamics"
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