A survey of numerical methods for transient eddy current problems

A survey of numerical methods for transient eddy current problems
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瞬态涡流问题数值方法综述

DOI：
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发表时间：
1993
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通讯作者：
M. Chari
M. Chari
中科院分区：
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文献类型：
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作者：
I. Tsukerman;A. Konrad;G. Bedrosian;M. Chari

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评估了不同时间步进格式和相关的代数系统求解方法在瞬态涡流计算中的效率。对于二维问题，在足够的内存条件下，直接方法嵌套解剖（ND）和商最小度（QMD）优于不完全Cholesky共轭梯度（ICCG）方法。多层先决条件（MP）方法对于二维和三维的磁齐次问题都是高效的。多层方法求解非齐次问题的有效性虽然在理论上得到了证明，但还需要进一步的实践研究。>
The efficiencies of different time-stepping schemes and associated algebraic system solvers for transient eddy current computations are assessed. For 2-D problems, the direct methods nested dissection (ND) and quotient minimum degree (QMD) are shown to be preferable to the incomplete Cholesky conjugate-gradient (ICCG) method, provided enough memory is available. The multilevel preconditions (MP) method is highly efficient for magnetically homogeneous problems both in 2-D and 3-D. The efficiency of multilevel methods for inhomogeneous problems, although proven theoretically, needs further practical investigation. >