An Automatic Delaunay Triangular Mesh Generation Method based On Point Spacing
Lu Sun, Gour‐Tsyh Yeh, Fang‐Pang Lin, Guoqun Zhao · 2013
This paper presents a density-controlled Delaunay triangulation system for finite element discretizations of practical engineering problems and scientifically interacting mechanisms. B-splines are constructed to produce boundary points on the curved boundaries of the geometry according to the required point spacing. The lost boundaries in concave and thin geometric features are recovered through recursively inserting pseudo-points on the lost edges. The determinant criterion and modes for removing pseudo-points are correspondingly established as well. Two methods are employed to add interior points: direct method and pre-test method. For the geometry with several sub-domains, corresponding measures for handling overlapped edges are established to ensure the mesh compatibility and element distribution between adjacent sub-domains.