1990
DOI: 10.1029/ja095ia08p11919
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Numerical simulation of a catastrophe model for coronal mass ejections

Abstract: In 1978, W. Van Tend and M. Kuperus proposed a simple catastrophe model for magnetically driving coronal mass ejections, prominence eruptions, and two‐ribbon flares. Their model, which is based on simple circuit concepts, suggests that a stable configuration containing a current filament will lose equilibrium when the filament current exceeds a critical value. Here we use a two‐dimensional numerical simulation to test how the Van Tend‐Kuperus model works in an ideal MHD fluid. The simulation exhibits the expec… Show more

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Cited by 142 publications
(146 citation statements)
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“…As many theoretical models have shown, typically the closed magnetic system would rise into the atmosphere to find a new equilibrium height, entraining the surrounding field under the frozen-in condition of the highly conducting coronal plasma (e.g. , Forbes 1990;Ding & Hu 2008). The anchored surrounding field naturally becomes stretched, producing a vertical current sheet beneath the rising magnetic bubble and creating the observed keyhole morphology.…”
Section: Theoretical Implicationsmentioning
confidence: 99%
“…As many theoretical models have shown, typically the closed magnetic system would rise into the atmosphere to find a new equilibrium height, entraining the surrounding field under the frozen-in condition of the highly conducting coronal plasma (e.g. , Forbes 1990;Ding & Hu 2008). The anchored surrounding field naturally becomes stretched, producing a vertical current sheet beneath the rising magnetic bubble and creating the observed keyhole morphology.…”
Section: Theoretical Implicationsmentioning
confidence: 99%
“…From a theoretical point of view, a dynamical photosphere is the common boundary of MHD models forming filaments or flux tubes, such as by emergence of flux (Chen 1996;Chen et al 2000), by shearing motions , by converging flows towards the inversion lines (Priest et al 1994;Forbes 1990), or by diffusion of magnetic field (Amari et al 2000). MHD simulations are useful tools for testing these different mechanisms, which are able to produce a filament and then bring it into an unstable state until the eruption.…”
Section: Introductionmentioning
confidence: 99%
“…1 Energetic events such as coronal mass ejections (CMEs) 2 are often regarded as a consequence of instability and/or loss of equilibrium in one of these partial toroidal structures. 1,[3][4][5][6][7] One potential CME trigger mechanism is the ideal external kink instability (see, e.g., Török and Kliem 8 ). Despite rapid progress in observational capabilities, the lack of detailed magnetic measurements in crucial areas of the corona has prevented the conclusive study of kink stability in coronal magnetic structures.…”
Section: Introductionmentioning
confidence: 99%