超限映射法的四边形网格划分技术研究

针对在有限元网格划分中进行网格映射的时候出现的映射精度方面的问题,通过引入数值传热学中的无限插值法即超限映射法来实现计算平面对物理平面的精确逼近,提高了网格划分的精度以及单元网格的性态重量,并较为系统地介绍了边界离散、节点编码以及网格质量光顺的方法,最后给出了应用实例.

Research of Transfinite Mapping Method of Quadrangled Mesh

Aiming at the aberrant problem of mesh-mapping in the mesh generation of FEM,the paper carries out the precise approach from the calculational plane to physical plane by inducting the transfinite of numerical diathermanous subject.The result of applocation shows that this method can improve the precision of meshpartition and the quality of the element gridding.What's more,the paper introduces the dispersing of the boundary,the coding method of nodes and the smooth way about gridding by the numbers.In the end,a numerical example is given.