将杂交边界点法同双互易法结合,推导了一种适合于求解工程电磁场瞬态涡流问题的边界类型无网格方法,即双互易杂交边界点法.该方法将瞬态涡流的解分为通解和特解两部分,使用杂交边界点法求解通解,利用局部径向基函数近似求解特解.该方法输入数据只是求解域上离散的点,不需要额外的方程来计算域内物理量.数值算例表明,该方法在求解工程涡流问题时具有较高的精度和数值稳定性.
The dual reciprocity method (DRM) was combined with the hybrid boundary node method (HBNM) for transient eddy, which was named dual reciprocity hybrid boundary node method (DRHBNM). The solution of the transient eddy current was divided into particular solution and homogeneous solution. The homogeneous solution was solved by HBNM, and the particular solution was approximated by using radial basis functions. Only randomly distributed nodal points on the bounding surface of the domain were required and it didn't need extra equations to compute internal parameters in the domain. Numerical examples showed high accuracy and high convergence rates of the presented scheme.