Modeling of Active Region 8535 (May 1999) with MH4D

Details Modeling of Active Region 8535 (May 1999) with MH4D Modeling of Active Region 8535 (May 1999) with MH4D

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agufmsh11c0728l&link_type=abstract

American Geophysical Union, Fall Meeting 2001, abstract #SH11C-0728

Physics

0644 Numerical Methods, 7509 Corona, 7524 Magnetic Fields

Scientific paper

MH4D (Magnetohydrodynamics on a TETRAhedral Domain) is an 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. We have used MH4D to obtain a potential extrapolation of the surface magnetic flux for active region 8535 (May 1999). This region was studied by K.~D. Leka, S. White, Z. Mikić, and J. Lee, Eos. Trans. AGU, 82(20), Spring Meet. Suppl., Abstract SH31D-03, 2001. We show how with MH4D it is possible to perform a simulation that takes into account the curvature of the solar surface. Including the curvature may influence the strength of the extrapolated field in the corona, which affects the radio emission.

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