×

zbMATH — the first resource for mathematics

Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics. (English) Zbl 0813.76058
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.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
76L05 Shock waves and blast waves in fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI