基于四面体表面积分求解三维静磁场

3D magnetostatic field computation with tetrahedral surface integral equation method

三维物体的网格剖分质量是影响静磁场计算精度的关键因素之一,采用四面体单元剖分可有效地逼近复杂几何结构三维物体的边界。但是,目前未见基于四面体单元剖分的静磁场计算研究,为此通过点匹配方法和等效面磁荷方法实现了静磁场的积分方程法求解。解析算例和仿真算例表明:所研究的数值计算方法在求解三维物体静磁场时精度可靠,具有一定的工程实用价值。

The mesh quality is a key factor which may largely affect the magnetostatic field calculation precision,and tetrahedrons can be effective to mesh the complex 3Dobjects with perfect mesh quality.So far,magnetostatic field computation with tetrahedral mesh elements has not been studied,thus the point-match method and the surface charge distribution method are intergrated to solve the magnetostatic field with integral equation method（IEM）.The analytical solutions and simulation example demonstrate that calculation precision of the numerical method is stable,and the mseh of 3Dobjects is accurate thanks to the tetrahedron element.Therefore,this computational method has practical application value.