杂交有限元网格自动生成方法及其应用

本方法基于坐标变换，按保角映射原理，通过Laplace方程、Possion方程，将实际计算水域变换为规则的矩形域，尔后刻分矩形域，反演出实际水域中的对应网格点。该方法生成网格时，只需给出边界坐标，具有剖分省时、可适应较为复杂边界的优点；亦可根据不同区域的水流持征，生成不同的有限元网格并可随意进行局部加密。

On the basis of coordinate transformation and following conserved angle refiection princiPle, a new hybrid finiteelement mesh generation method is deve1o~ through laplace or poisson equation' Using this mehed an irregulerPrecatical computed water area will be changed into the regular rectangule area, then deviding it and reversing tosolve the corresponding mesh piont in practical one. When using this method to generate mesh, it neds only givingboundary coodinate value. This method aIso has advantages of saving time and suiting complex boundary. otherwiseit can form different kinds of finite element and mesh and make foral densing automatically, accoding to the waterflow feature in different area.