To calculate the distribution of the magnetic field and eddy current density on the surface of an aluminium plate, a method that couples the face-smoothed finite element method (FS-FEM) to the boundary element method (BEM) is proposed in this study. This method combines the advantages of the FS-FEM and BEM, which can rapidly and accurately calculate the distributions of vertical magnetic field and eddy current field on the surface of an aluminium plate. The structural parameters and material properties of the coil and aluminium plate are considered. An accurate three-dimensional calculation model is established. Then, the vertical magnetic field and eddy current field distributions are calculated in this study. In the case of the same grid density, compared with the finite element–boundary element coupling algorithm, the simulation results show that the FS-FEM and the boundary element coupling method have obvious advantage in improving the calculation accuracy. The maximum relative error between the calculated results and measured results is only 4%. The proposed method in this study is available for reference to the transient open-domain eddy current field analysis.

为了计算铝板表面的磁场分布和涡流密度，本研究提出了一种将面平滑有限元法（FS-FEM）与边界元法（BEM）耦合的方法。该方法结合了FS-FEM和BEM的优点，可以快速，准确地计算铝板表面垂直磁场和涡流场的分布。考虑了线圈和铝板的结构参数和材料性能。建立了准确的三维计算模型。然后，计算了垂直磁场和涡流场的分布。在相同网格密度的情况下，与有限元-边界元耦合算法相比，仿真结果表明，FS-FEM和边界元耦合方法在提高计算精度方面具有明显的优势。计算结果与测量结果之间的最大相对误差仅为4％。本研究中提出的方法可供参考，用于瞬态开放域涡流场分析。