Vacuum calculations in azimuthally symmetric geometry
Vacuum calculations in azimuthally symmetric geometry
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方位对称几何中的真空计算
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
M. Chance
中科院分区：
文献类型：
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作者：
M. Chance
本文提出了一种求解等离子体放电周围区域磁标势的一般方位对称几何条件下的拉普拉斯方程的鲁棒、精确和有效的方法。这些导体可以是拓扑环形或球形的，并且可以在其中具有环形间隙。该解决方案被纳入到各种磁流体动力学稳定性代码中，无论是通过体积积分扰动磁能在真空区域或通过扰动磁场的正常分量的连续性要求和未扰动等离子体-真空边界的总扰动压力。该方法基于绿色第二恒等式和配点法。作为有用的副产品，涡流和Mirnov环路测量的模拟计算。
A robustly accurate and effective method is presented to solve Laplace’s equation in general azimuthally symmetric geometry for the magnetic scalar potential in the region surrounding a plasma discharge which may or may not contain external conductors. These conductors can be topologically toroidal or spherical, and may have toroidal gaps in them. The solution is incorporated into the various magnetohydrodynamic stability codes either through the volume integrated perturbed magnetic energy in the vacuum region or through the continuity requirements for the normal component of the perturbed magnetic field and the total perturbed pressure across the unperturbed plasma–vacuum boundary. The method is based upon using Green’s second identity and the method of collocation. As useful by-products, the eddy currents and the simulation of Mirnov loop measurements are calculated.