Modeling of Transequatorial Loops with MH4D

Physics

Scientific paper

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0654 Plasmas, 7509 Corona, 7524 Magnetic Fields

Scientific paper

MH4D (Magnetohydrodynamics on a TETRAhedral Domain) is a new algorithm to perform magnetohydrodynamic (MHD) simulations of the active regions of the Sun, including the large scale coronal structure that surround them. MH4D is a massively-parallel, device-independent numerical code for the advancement of the resistive and viscous MHD equations on an unstructured grid of tetrahedra. The use of an unstructured grid allows us to increase the resolution in the regions of physical interest. A variational formulation of the differential operators ensures accuracy and the preservation of the analytical properties of the operators (∇ \\cdot B=0, self-adjointness of the resistive and viscous operators). The combined semi-implicit treatment of the waves and implicit formulation of the diffusive operators can accommodate the wide range of time scales present in the solar corona. The capability of mesh refinement and coarsening is also included. A preliminary result is presented: a simulation of transequatorial loops that include fine details of two interconnected active regions.

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