Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002agufmsh52a0492l&link_type=abstract
American Geophysical Union, Fall Meeting 2002, abstract #SH52A-0492
Physics
7509 Corona, 7524 Magnetic Fields, 7599 General Or Miscellaneous
Scientific paper
We report our progress in the development of MH4D (Magnetohydrodynamics on a TETRAhedral Domain). MH4D is a massively-parallel, device-independent numerical code for the solution of the resistive and viscous MHD equations on an unstructured grid of tetrahedra. The unstructured mesh allows the resolution to be increased in the regions of physical interest. Consequently, MH4D can model problems with a wide range of spatial scales (e.g., active regions in the large scale corona). A variational formulation of the differential operators ensures accuracy and the preservation of the analytical properties of the operators (∇ \\cdot B=0), and 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. MH4D is currently capable of solving the resistive diffusion equation and the equations of hydrodynamics. Preliminary results will be presented.
Lionello Roberto
Schnack Dalton D.
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