Line-Tying and the Reduced Equations of Magnetohydrodynamics
Line-Tying and the Reduced Equations of Magnetohydrodynamics
复制标题
磁流体动力学的系线和简化方程
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Hassam
中科院分区：
文献类型：
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作者：
R. Scheper;A. Hassam
磁流体力学的“简化方程”是基于这样一种顺序，即横向磁场的变化比纵向磁场的变化更尖锐。我们发现，这种秩序打破附近的导电表面满足“线绑”的边界条件。边界层被证明存在于那里。减少方程推导出的层和渐近匹配到通常的方程远离表面。结果表明，边界层并不影响通常的程序来解决的通量表面和流动流线。
The "reduced equations" of MHD are based on the ordering that variations transverse to the magnetic field are sharper than longitudinal variations. We show that this ordering breaks down near conducting surfaces satisfying "line-tied" boundary conditions. A boundary layer is shown to exist there. Reduced equations are derived for the layer and matched asymptotically to the usual equations away from the surface. It is shown that the boundary layer does not affect the usual procedures to solve for the flux surfaces and the flow streamlines.