A finite difference time domain scheme for transient eddy current problems
A finite difference time domain scheme for transient eddy current problems
复制标题
瞬态涡流问题的时域有限差分格式
DOI：
10.1109/20.952563
复制
发表时间：
2001
影响因子：
2.1
通讯作者：
T. Tsiboukis
中科院分区：
文献类型：
--
作者：
T. Yioultsis;K. S. Charitou;C. Antonopoulos;T. Tsiboukis
本文提出了一种求解低频瞬变电磁问题的通用显式时域有限差分（FDTD）算法。基于一个非标准差分格式，给出了详细的理论分析，并从稳定性和一致性两个方面进行了研究。研究揭示了一类具有不同性质的有限差分扩散格式。一些现有的方法是这个一般框架的特殊情况下，提出了一个最佳的算法。有限差分法的涡流问题的应用程序需要引入一个混合的方法，它结合了显式差分格式的扩散方程与边界元法（BEM）的开放区域。所得到的算法涉及一个简单的时间步进迭代，没有任何系统的解决方案，因此是非常强大的。
In this paper, we present a general explicit finite difference time domain (FDTD) algorithm for transient electromagnetic problems at low frequencies. A detailed theoretical analysis is given, based on a nonstandard finite difference scheme, which is studied in terms of stability and consistency. The study reveals a whole class of finite difference diffusion schemes with different properties. Some of the existing methods are special cases of this general framework and an optimal algorithm is proposed. The application of finite difference methods to eddy current problems requires the introduction of a hybrid methodology, which combines the explicit differencing scheme for the diffusion equation with a boundary element method (BEM) for the open regions. The resulting algorithm involves a simple time stepping iteration, without any system solution, thus being remarkably robust.