计算三维涡流场~*-ψ数学模型的矢量分解、分区消元、界面耦合法

A New Algorithm to Perfect the ~*-ψFormulation for 3D Eddy Current Field

本文提出了用有限元法计算三维涡流场的-ψ数学模型的新算法,实现了三维涡流场计算的矢量分解,并通过引入区域表面导纳矩阵的概念,实现了分区消元,最后通过空气区与涡流区在交界面上的耦合,得到仅以交界面上(?)的切向分量为变量的方程组。这一新算法不仅保证了涡流场库仑规范的强满足,而且显著降低了内存需要量。

A new algorithm to perfect formulation for 3D eddy current field computation is presented in this paper.The new algorithm enables a maximum flexibility for enfercing the boundary condition to a conductor surface of arbitrary geometry and ensures a minimum computer resource need by decoupling vector components, advanced eliminating of innerpoint equations in conducting region and air region indivisually.