二维矢量边界推进非结构网格生成方法

提出二维矢量边界推进生成非结构三角形网格方法并证明其可行性.根据流场边界尺度布置边界节点并运用矢量边界推进方法生成背景网格,运用符号面积函数和概率筛选方法布置初始点阵,提出Spring-Laplace方法优化节点位置,同时利用边交换技术优化网格结构.该方法可包含任意点源、线源和内嵌边界,可自由进行局部自适应加密或稀疏,实现任意平面域内与尺度要求一致的高效光滑三角网格剖分.

Two-dimensional Unstructured Mesh Generation with Vector Boundary Advancing

We present a method,vector boundary advancing method,to generate unstructured triangle meshes,and prove its feasibility. It lays out boundary points based on domain scales and generates background meshes with vector boundary advancing method.With sign-area function and probability filer,it obtains initial points in the domain.Spring-Laplace method and side-swapping method adjust location and structure of the mesh and prevent points from getting out of the domain.The method can do adaptive refine and derefine successfully and can deal with fixed-points,fixed-lines and inner-boundary.An efficient smooth adaptive triangulation divided in two-dimensional domain according to scales is realized.