期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 201, 期 1, 页码 261-285出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2004.05.020
关键词
multidimensional conservation laws; ideal magnetohydrodynamics (MHD) equations; high-resolution central schemes; non-oscillatory reconstructions; Jacobian-free form
The computations reported in this paper demonstrate the remarkable versatility of central schemes as black-box, Jacobian-free solvers for ideal magnetohydrodynamics (MHD) equations. Here we utilize a family of high-resolution, non-oscillatory central schemes for the approximate solution of the one- and two-dimensional MHD equations. We present simulations based on staggered grids of several MHD prototype problems. Solution of one-dimensional shock-tube problems is carried out using second- and third-order central schemes [Numer. Math. 79 (1998) 397; J. Comput. Phys. 87 (2) (1990) 408], and we use the second-order central scheme [SIAM J. Sci Comput. 19 (6) (1998) 1892] which is adapted for the solution of the two-dimensional Kelvin-Helmholtz and Orszag-Tang problems. A qualitative comparison reveals an excellent agreement with previous results based on upwind schemes. Central schemes, however, require little knowledge about the eigenstructure of the problem - in fact, we even avoid an explicit evaluation of the corresponding Jacobians, while at the same time they eliminate the need for dimensional splitting. (C) 2004 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据