A Modern Code for Solving Magnetohydrodynamic or Hydrodynamic Equations

We have developed a modern code to solve the magneto-hydrodynamic (MHD) or hydrodynamic (HD) equations. The code consists of several ap-proaches for solving the MHD (or HD) by high-resolution schemes with ¯nite-volume and ¯nite di®erence methods. A framework that implements adaptive mesh re¯nement (AMR) with nested block-structure is developed. Cylindrical and spherical geometries are considered as orthogonal curvilinear grid as well as the Cartesian grid. We also enhance the AMR capabilities by the preserving the conservative quantities and preserving the divergence free constraint for vector-¯eld. The code is fully parallelized with message passing interface (MPI) and a dynamic load balancing scheme is incorporated to improve the parallel e±ciency. Our code is designed in a way that existing codes for a single grid can be easily incorporated. 1