A three-dimensional unsplit magneto-hydrodynamic code with block-structured adaptive mesh in spherical coordinate

Physics

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2722 Forecasting (7924, 7964), 7924 Forecasting (2722)

Scientific paper

We developed a parallel, three-dimensional upsplit magneto-hydrodynamic (MHD) code for the numerical study of propagation of solar disturbances from Sun to Earth. This code uses several high resolution upwind schemes to solve the nonlinear 3D idea/resistive MHD equations with block-structured adaptive mesh in spherical coordinate. The high order polynomial fits method is used for the data reconstruction and prolongation, and the divergence-free of magnetic field is satisfied by using constrained transport (CT) method. High order total variance diminishing (TVD) Runge-Kutta method is used to advance the time-dependent MHD equations. The ability of adaptive mesh refinement is enabled with the framework of PARAMESH library. The code is fully parallelized with message passing interface (MPI) and a dynamic load balancing scheme is incorporated to improve the parallel efficiency. Finally, we demonstrate the effectiveness of the code with several challenging benchmark cases.

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