EXTENSION OF THE PIECEWISE PARABOLIC METHOD TO MULTIDIMENSIONAL IDEAL MAGNETOHYDRODYNAMICS

被引:93
作者
DAI, WL
WOODWARD, PR
机构
[1] School of Physics and Astronomy, Supercomputer Institute, Army High Performance Computing Research Center, University of Minnesota, Minneapolis, MN 55415
关键词
D O I
10.1006/jcph.1994.1212
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
An extension of the piecewise parabolic method to treat multi-dimensional ideal magnetohydrodynamical equations is presented in this paper. The multidimensional scheme is constructed from a one-dimensional functioning code based on the dimensional splitting method originally suggested by Strang. The functioning code is built upon a nonlinear Riemann solver for ideal MHD equations recently 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. The robust character of the scheme is demonstrated in the shock-tube problems and in the interaction between MHD shocks and a cloud. The results of these problems show that the scheme keeps the principal advantages of a high-order Godunov scheme: robust operation in the presence of very strong waves, thin shock fronts with little attendant noise generation, and thin contact discontinuity, (C) 1994 Academic Press. Inc.
引用
收藏
页码:485 / 514
页数:30
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