Introduction of a Direct Method at Subdomains in Non-linear Magnetostatic Analysis with HDDM
Introduction of a Direct Method at Subdomains in Non-linear Magnetostatic Analysis with HDDM
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HDDM 非线性静磁分析中子域直接法的介绍
DOI：
10.1109/bwcca.2010.87
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
S. Yoshimura
中科院分区：
文献类型：
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作者：
S. Sugimoto;M. Ogino;H. Kanayama;S. Yoshimura
本文采用分层区域分解法（HDDM）对大规模三维非线性静磁问题进行了分析。为了提高HDDM界面问题的收敛性，减少计算时间，重新研究了有限元分析的子域求解策略。由于我们所用的方程是奇异的，它已被解决的迭代方法，如ICCG方法。然而，通过应用直接法求解子区域中的FEA，可以预期，通过提高子区域中的精度来提高界面问题的收敛性，并且通过将LU分解的结果矩阵存储在主存储器上来减少计算时间。然后，为了用直接法求解子域有限元，考虑了带拉格朗日乘子p的A法。因此，界面问题的收敛性得到了很大的改善，提高精度的子域明智的分析。这样，计算时间减少了10 - 20%。此外，在T2 K开放超级计算机（64个节点，1，024个核心）上，在大约4.8小时内解决了12亿自由度的非线性静磁问题。
This paper deals with a large-scale 3D non-linear magneto static analysis using the Hierarchical Domain Decomposition Method (HDDM). To improve the convergence of the interface problem of the HDDM and to reduce the computation time, the solution strategy of Finite Element Analysis (FEA) in sub domains is reexamined. Because our employed equation is singular, it has been solved by the iterative method such as the ICCG method. However, by applying the direct method for solving FEA in sub domains, it is expected that the convergence of the interface problem is improved by improvement of precision in sub domains and the computation time is reduced by storing matrices that are results of the LU decomposition on the main memory. Then, to solve FEA in sub domains by the direct method, the A method with the Lagrange multiplier p is considered. As a result, the convergence of the interface problem is much improved by improvement of precision in sub domain-wise analysis. Then, the computation time is reduced by 10 - 20 %. Moreover, a nonlinear magneto static problem with 1.2 billion degrees of freedom is solved in about 4.8 hours on the T2K Open Supercomputer (64 nodes, 1,024 cores).
A-φ 方法在迭代域分解方法并行计算中的有效性。
DOI：
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发表时间：
2005
期刊：
Proceedings of COMPUMAG2005 Vol.II
影响因子：
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作者：
Kanayama;H.;Sugimoto;S.
通讯作者：
S.
大规模三维非线性静磁问题的域分解方法
DOI：
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发表时间：
2003
期刊：
Theoretical and Applied Mechanics Vol.52
影响因子：
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作者：
H.Kanayama;H.Zheng;N.Maeno
通讯作者：
N.Maeno