双互易杂交边界点法求解工程瞬态涡流问题  

Solution of engineering transient eddy current by dual reciprocity hybrid boundary node method

作　　者：司马玉洲[1,2] 朱宏平[1,2] 苗雨[1,2] 

机构地区：[1]华中科技大学土木工程与力学学院 [2]华中科技大学控制结构湖北省重点实验室,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2008年第12期108-111,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50608036)

摘　　要：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.

关 键 词：杂交边界点法 双互易法 瞬态涡流 径向基函数 移动最小二乘 

分 类 号：O343[理学—固体力学]