A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines

摘要: Numerical methods for solving the ideal magnetohydrodynamic (MHD) equations in more than one space dimension must confront challenge of controlling errors discrete divergence magnetic field. One approach that has been shown successful stabilizing MHD calculations are constrained-transport (CT) schemes. CT schemes can be viewed as predictor-corrector updating field, where a field value is first predicted by method does not exactly preserve divergence-free condition on followed correction step aims to control these errors. In Helzel, Rossmanith, and Taetz [J. Comput. Phys., 230 (2011), pp. 3803--3829] authors presented an unstaggered three-dimensional Cartesian grids. this evolution equation potential solved during each time update computed taking curl pot...