基于Delaunay三角化的无网格法计算结果后处理

最近新发展起来的无网格方法由于不需要显式网格，节省了网格生成所需的大量时间，并且避免了网格畸变问题，所以在处理一些特殊问题如移动边界、大变形、高梯度等方面显示出特殊的优越性。但另一方面也使得计算结果的全域后处理遇到困难。提出了一种基于Delaunay三角形背景网格的实用无网格计算结果后处理方法，以无网格离散节点为顶点生成Delaunay三角形，将无网格法计算得到的节点应力值映射插值得到三角形内的应力场云图颜色。给出的二维线弹性应力分析算例表明方法可靠实用。

A Realistic Technique based on Delaunay Traingnlation for Post-Processing of Meshless Numerical Results

Without employment of explicit meshes, the newly developed meshless methods save great time for mesh generation and eliminate the possibility of mesh distortion. These constitute advantages over standard mesh-based methods in some special areas such as moving boundaries, large deformation simulation, high gradient problems etc. Absence of mesh and lack of connection between sprinkled nodes, on the other hand, make post-processing of the numerical discrete nodal results an issue which needs additional effort. A realistic approach based on background Delaunay triangles with meshless nodes as vertices is presented to solve this problem. Two elastic stress analysis problems are chosen as examples, and the nodal stresses obtained by Reproducing Kernel Particle Method are mapped and interpolated into corresponding colors in the whole domain of interest. The results given here demonstrate the approach is realistic, versatile and robust.