Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics (Q1339950)

The multidimensional scheme is constructed from a one-dimensional functioning code based on the dimensional splitting method. The functioning code is built upon a nonlinear Riemann solver for ideal MHD equations developed by the authors. The correctness of the scheme is tested in the steepening of waves in both one- and two-dimensional situations and in various MHD shock-tube problems which involve all the discontinuities in ideal MHD.