An adaptive solver for MHD flows with complex boundary based on Cartesian grids

An adaptive version of a consistent and conservative scheme has been developed for simulation MHD flows, special treatment is conducted on coarse/fine mesh boundaries to keep current density consistent and conservative. Moreover, the entire algorithm is based on the Cartesian grids technique, which is helpful to save computing resources and improve the performance. Combined with VOF method, the cut-cell approach employed here is proved to be accurate in applying the boundary condition when the solid boundaries are complex and eventually manage to deal with MHD flows within complex figurations. Finally, the applied numerical schemes are validated by analytical solutions and excellent agreements were found for all cases considered.