The Modified SHASTA Code by Refined Self-adaptive Mesh and the Numerical Experiment of the Magnetic Reconnection

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Sun: Flares, Mhd, Methods: Numerical

Scientific paper

SHASTA is an explicit code with single grid to solve the resistive magnetohydrodynamics (MHD) equations and is modified via the self-adaptive mesh refinement technique to deal with the magnetic reconnection problems in this paper. Then, the new code is applied to perform the refined calculations in the magnetic diffusion regions, simulating the 2-D unsteady process of the magnetic reconnection. In the process of modifying the single grid SHASTA code, the "plug-and-play" strategy is used and the original algorithm to solve MHD equations is treated as an independent cell. In the calculation, the single data mesh structure is replaced by the hierarchical data structure and parameters on each refined level are described by a 2-D adjustable array. When monitoring the magnetic field and the pressure in the whole simulation domain, the regions where the relevant parameters manifest the largest gradient are flagged, then the boundary conditions and the parameter distributions on the level of refined meshes are deduced via interpolations. Finally, the results of calculations on the refined mesh levels are assigned to the previous level and the existing results are updated. This process is iterated until the calculations carried out in both the refined region and the whole domain region are completed. Compared to those obtained from the old code, the numerical simulation results of the magnetic reconnection performed on the refined meshes manifest rich physical details. The corresponding time used in the experiment of the refined meshes increases apparently, which is related to the selection of the initial parameters in the simulation. On the other hand, the accuracy and the stability of the calculation depend on the boundary condition, the strategy of the integration over each single step as well as the algorithm for interpolation.

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