An open boundary technique for axisymmetric and three dimensional magnetic and electric field problems
An open boundary technique for axisymmetric and three dimensional magnetic and electric field problems
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DOI：
10.1109/20.42546
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发表时间：
1989-03
期刊：
影响因子：
--
通讯作者：
E. Freeman;D. Lowther
中科院分区：
文献类型：
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作者：
E. Freeman;D. Lowther
描述了一种技术，该技术允许在标准有限元包中考虑轴对称和三维问题中开放边界的影响，而无需任何软件修改。它基于传统的开尔文变换以及对外部区域材料属性的修改。虽然该技术可以内置到有限元求解器中，并且由于保持了矩阵稀疏性，因此可以比许多现有方法以更低的计算成本产生非常准确的结果。其主要优点是，它可以直接应用于许多现有的有限元软件包中，无需进行任何软件修改，并且可以提供比使用相同数量的单元将边界移动到远离感兴趣区域所获得的更准确的解决方案。第二个优点是，可以通过非常简单的转换从解决方案中获得外部场。此外，还可以将对象放置在外部区域并考虑到它们对内部解决方案的影响。给出了一个应用示例（螺线管线圈）。 >
A technique is described which allows the effect of open boundaries in axisymmetric and three-dimensional problems to be accounted for in a standard finite element package without the need for any software modification. It is based on the conventional Kelvin transformation coupled with a modification to the material properties of the exterior region. While the technique could be built into a finite element solver and would produce very accurate results at a lower computational cost than many existing methods because of the maintenance of matrix sparsity. Its major advantage is that it can be applied directly in many existing finite element packages without the need for any software modifications and can provide more accurate solutions than can be obtained by using the same number of elements to move the boundaries far away from the region of interest. A second advantage is that the exterior field is available from the solution via a very simple transformation. In addition, it is possible to place objects in the exterior region and allow for their effects on the interior solution. An application example (a solenoidal coil) is given. >