MH4D: an Algorithm for MHD on a Tetrahedral Grid

Statistics – Computation

Scientific paper

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7594 Instruments And Techniques

Scientific paper

MH4D (Magnetohydrodynamics on a TETRAhedral Domain) 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 grid allows the computational domain to be of arbitrary shape and the resolution to be increased in the regions of physical interest. Consequently, a wide range of spatial scales can be studied at the same time, for example active regions can be embedded 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. We have recently implemented the MHD operators and the semi-implicit solve in the momentum equation and will present preliminary results.

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