Discrete Constitutive Equations over Hexahedral Grids for Eddy-current Problems
Discrete Constitutive Equations over Hexahedral Grids for Eddy-current Problems
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DOI：
10.3970/cmes.2008.031.129
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发表时间：
2008-07
影响因子：
2.4
通讯作者：
L. Codecasa;R. Specogna;F. Trevisan
中科院分区：
文献类型：
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作者：
L. Codecasa;R. Specogna;F. Trevisan
在本文中，我们介绍了一种方法来构建离散本构矩阵的磁通量与磁动势（磁阻矩阵）和电动势与电流（电导矩阵）所需的离散涡流问题通过有限积分技术（FIT）和细胞方法（CM）在六面体原始网格。我们证明，不同于有限元的质量矩阵，建议的矩阵确保了FIT和CM中引入的离散方程的稳定性和一致性。关键词：离散本构方程，离散几何方法，涡流。
In the paper we introduce a methodology to construct discrete constitutive matrices relating magnetic fluxes with magneto motive forces (reluctance matrix) and electro motive forces with currents (conductance matrix) needed for discretizing eddy current problems over hexahedral primal grids by means of the Finite Integration Technique (FIT) and the Cell Method (CM). We prove that, unlike the mass matrices of Finite Elements, the proposed matrices ensure both the stability and the consistency of the discrete equations introduced in FIT and CM. Keyword: Discrete constitutive equations, discrete geometric approach, eddy-currents.