A Realistic Technique based on Delaunay Triangulation for Post-Processing of Me shless Numerical Results
Wen Jianbo,Zhou Jinxiong,Zhang Hongyan,Zhang Ling
(School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049)

Abstract: Without employment of explicit meshes, the newly developed meshless me thods 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 no des, on the other hand, make post-processing of the numerical discrete nodal results an issue which needs additional effort. A realistic approach based on back ground Delaunay triangles with meshless nodes as vertices is presented to solve this problem. Two elastic stress analysis problems are chosen as examples, and t he 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.
Keywords: meshless method, post-processing, Delaunay triangle, RGB color model.