任意采空区边界信息处理与有限元网格生成

Information processing of arbitrary boundaries in goaf and automatic generation of finite element mesh

建立了任意形状采空区边界信息的管理规则,以已知漏风边界的剖分精度作为区域网格密度函数的依据,用前沿生成法的网格剖分技术自动生成Delaunay三角形单元。优先处理最长前沿边,网格节点间距密度按该边距条件边界的距离的线性函数,来控制区域内网格的尺寸变化,最终实现区域内部网格的疏密逐渐过渡,采用Laplacian优化法进行光顺处理,进一步改善了三角形质量。算例表明,可按任意采空区形状和精度自动生成三角单元,调整方便。

A control rule for information of arbitrary boundaries in the goaf is made and regional mesh density function is based on the subdivision precision of known air leakage boundaries, then Delaunay triangular units are generated automatically by mesh subdivision technology of advancing front generation method. The longest advancing front edge is handled at first, the variations of mesh size in control region is based on the fact that mesh nodal spacing density is a linear function of distance between conditional boundary and the edge, ultimately the transition of density of mesh inside the region is realized, at the same time fairing treatment is done by Laplacian optimization method, and triangular quality is further improved. According to the calculated samples, triangular units can be generated automatically in various precisions and goaf shapes and the triangular units can be regulated conveniently.