Fourier‐based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
Fourier‐based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
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DOI：
10.1002/nme.4641
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发表时间：
2013-07
影响因子：
2.9
通讯作者：
F. Willot;B. Abdallah;Y. Pellegrini
中科院分区：
文献类型：
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作者：
F. Willot;B. Abdallah;Y. Pellegrini
提出了一种改进的格林算子，作为通常用于计算异质介质的电或热响应的基于傅立叶的数值方案的改进。与其他方法相反，当相之间的属性对比变得无穷大时，实现收敛所需的迭代次数趋于有限值。此外，结果表明，该方法在高导电和准绝缘相内以及相边界附近产生更精确的局部场。这些良好的性质源于格林函数的离散化，它与像素网格一致，同时保留了作用于偏振场的算子的局部性质。最后，Moulinec 等人的“直接方案”的快速实施。 (1994) 提出了允许节约内存使用的建议。版权所有 © 2014 约翰·威利父子有限公司
A modified Green operator is proposed as an improvement of Fourier‐based numerical schemes commonly used for computing the electrical or thermal response of heterogeneous media. Contrary to other methods, the number of iterations necessary to achieve convergence tends to a finite value when the contrast of properties between the phases becomes infinite. Furthermore, it is shown that the method produces much more accurate local fields inside highly conducting and quasi‐insulating phases, as well as in the vicinity of phase boundaries. These good properties stem from the discretization of Green's function, which is consistent with the pixel grid while retaining the local nature of the operator that acts on the polarization field. Finally, a fast implementation of the ‘direct scheme’ of Moulinec et al. (1994) that allows for parsimonious memory use is proposed. Copyright © 2014 John Wiley & Sons, Ltd.