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应用半解析有限元线法(FEMOL)分析三维旋转域内的Poisson方程。通过环向采用Fourier级数展开,原问题被转化为一系列旋转面上的二维问题。构造了相应的FEMOL单元,并对由柱坐标系带来的r=0处的奇异性以及各类退化单元边、线作了细致处理。并给出数值算例
The Poisson equation in three - dimensional rotating domain was analyzed by semi - analytical finite element method (FEMOL). By using Fourier series expansion in the toroidal direction, the original problem is transformed into a series of two-dimensional problems on the rotating surface. The corresponding FEMOL unit is constructed, and the singularity of r = 0 and the edges and lines of various degenerate units brought by the cylindrical coordinate system are dealt with in detail. Numerical examples are given