用H的棱边有限元法计算三维工程涡流问题

Edge element analysis of 3D engineering eddy current problems using H-formulation

推导了在整个求解区域以Ｈ为变量求解三维稳态线性涡流场的公式。在涡流区采用棱单元离散,在非涡流区从节点元出发,利用节点元与棱单元插值函数的关系,推导出棱单元离散的加权余量公式。在推导过程中,自动消除了交界面处表面积分带来的方程组系数矩阵的非对称性,节省了内存。用此公式求解了ＴＥＡＭ ＷＯＲＫＳＨＯＰ ２１．０问题,对计算结果进行了分析。

A new method for computing 3D linear eddy current problems is developed. This method use H as the state variable in the whole regions. Because of particular treatments, the asymmetry of the coefficient matrix caused by the integral on the surface is avoided. It is used to solve the problem of TEAM WORKSHOP 21.0 and the result is discussed.