提出一种用于二维上限有限元的非结构化网格数据转化方法并编制数据处理和上限有限元程序,借助MESH 2D非结构化网格划分工具建立基于耗散能密度为评判参数的网格重划加密方法,可达到不明显增加单元数量而获得较优上限解的目的。同时,分别实现用于上限有限元的六节点三角形单元无间断线和三节点三角形单元+速度间断线这2种网格模式。研究结果表明:六节点三角形单元无间断线模式结合非结构化网格重划加密方法能在同等单元数量的前提下显著提高上限解精度,显示出明显的优势和实用性。
A mesh data transforming method with general unstructured mesh for finite element upper bound solution was proposed and corresponding program was compiled. By means of unstructured meshing tool MESH 2D,a mesh regeneration and refinement method was built based on evaluation of dissipated energy to obtain favorable upper bound solution without the increase of triangular elements. Meanwhile, the two modes of six nodal triangular elements without velocity discontinuities and three nodal triangular elements with velocity discontinuities were implemented for finite element upper bound solution. The results show that the precisions of results are improved significantly by using six nodal triangular elements mode with unstructured mesh regeneration and refinement method.