基于局部波形法的六面体自动分割网格法研究

Study on Automatic Hexahedral Mesh GenerationMethod Based on the Local Wave Method

三维有限元法是求解复杂工程问题所需的数值模拟方法.用有限元法进行数值模拟时,首先要建立被离散化的有限元网格模型.但是,许多工程问题的构造和形状非常复杂,为此分割有限元网格的难度也很大.此外,分割网格是否合理,直接影响有限元计算的精度.现有的各种有限元商用软件提供了很好的自动网格分割系统.但是,由于用六面体单元对复杂形状进行自动网格划分是非常困难,而目前为止还是用手来完成复杂的工作,所以六面体单元的自动网格划分和网格自适应性还未充分应用在实际工程之中.对任意复杂形状的物体进行分割网格时仍存在一些问题.本研究将介绍生成或已有的规则六面单元改变成形状复杂并合适的六面体单元的一种新的方法,即基于阻尼波形传播理论的方法.结果表明,只要把复杂外部形状按波的形式传输给指定的规则六面体单元模型,就可得有效的六面体单元的网格模型.

3-D finite element method (FEM) is widely used as an effective numerical simulation technique to solve the complex engineering problem. While using the FEM simulation technique at first it is necessary to solve the problem. However, almost all of the engineering problems have very complicated structure and shape, so that there are also a lot of difficulties in mesh generation. Furthermore, the correct generation of mesh is one of the most significant issues that directly affect the accuracy of the FEM simulation. Though the existing commercial software has an excellent automotive mesh generation system, the hexahedral automatic mesh generation and its adaptation are not enough to be used for practical applications, because the mesh generation of complex shape is very difficult and still done intensively by hand. In this study, we present a new method to generate an appropriate mesh using existing regular hexahedral mesh and hexahedron mesh generation technique,which are based on the wave transmits theory with damp. The results show that an effective hexahedron mesh generation can be obtained of the Complex Shoped FEM is transmitted to redular mesh side using wave method.discrete hexahedral mesh model generated when shape of the side apply to regular mesh side as a wave constraint.