三维涡流电磁场的叠层有限元计算

Computation of 3-D Eddy Current with Hierarchical Elements

本文推导了用A-ψ法求解三维涡流电磁场的叠层高阶单元的计算公式。通过引入四类共计十九个固有矩阵,使三维涡流电磁场的高阶单元分析计算简单方便,并且计算效率高。文中还给出了一阶和二阶叠层高阶单元的固有矩阵数据。通过对国际TEAMWorkshop问题五(theBathCube)的实际计算,结果表明了计算程序的正确性以及叠层单元分析三维涡流电磁场在精度方面的优越性。

Hierachical high order finite element formulas for the computation of 3-D eddy current with A * -method are deduced. By introducing four classes of nineteen element universal matrices, the high order element computation of 3-D eddy current is simplified and the computation efficiency is increased. Results show that the formulas given in this Paper and the computer program designed by the authors are correct, and the superiority of high order elements for computing 3 - D eddy current is apparent.