Three Dimensional MHD Simulations for an Emerging Twisted Magnetic Flux Tube

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It is well known that an emerging flux tube causes various active phenomena in the solar atmosphere. They are, for example, an active region formation, flares, CMEs, and so on. For this reason, understanding the evolution of an emerging flux tube is very important. Twisted flux tube is important because it contains substantial magnetic energy, and is thought to be a source of violent phenomena. We have studied behaviors of a twisted emerging flux tube from the upper convection zone to the corona by means of three-dimensional MHD numerical simulations because of twist of tubes, three dimensional morphology for argument. Initially, a Gold-Hoyle force-free flux tube is set in the upper convection zone, and started emerging by Parker instability with imposed small amplitude perturbation. We aimed to solve evolution of flux tubes in the upper solar atmosphere and formation of magnetic structure in the corona. Important parameters are magnitude of twists, radius of a flux tube, and wavelength of perturbation. The results of our simulations show that an S-shaped structure is formed when magnitude of twists is strong (Bθ = qrB0 1+(qr)2, q ~1.0), and a filament structure is formed when magnitude of twists is weak (q ~0.2). Other parameter dependence is discussed in our paper.

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