A central-constrained transport scheme for ideal magnetohydrodynamics
A central-constrained transport scheme for ideal magnetohydrodynamics
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DOI：
10.1016/j.jcp.2003.11.003
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发表时间：
2004-05
影响因子：
4.1
通讯作者：
U. Ziegler
中科院分区：
文献类型：
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作者：
U. Ziegler
提出了一种易于编程的多维可压缩理想磁流体力学（MHD）方程的数值计算方法。所提出的方法采用Kurganov等人[SIAM J. Sci. Comput. 160（2001）707]以半离散形式结合约束传输技术来满足磁场的无发散条件，直到数值网格上的机器精度。在1D，2D和3D的各种测试问题显示的鲁棒性和效率的这种“混合ananimals”，这使得它成为一个有趣的替代现有的，数值上更复杂，求解MHD方程。
I propose an easy-to-code numerical scheme for the equations of compressible ideal magnetohydrodynamics (MHD) in multiple space dimensions. The presented method employs the central-upwind scheme of Kurganov et al. [SIAM J. Sci. Comput. 160 (2001) 707] in semi-discrete form combined with the constrained transport technique to satisfy the divergence-free condition for the magnetic field up to machine precision on the numerical grid. A variety of test problems in 1D, 2D and 3D show the robustness and efficiency of this `hybrid ansatz' which renders it an interesting alternative to existing, numerically more intricate, solvers for the MHD equations.