无网格法中节点非均匀自动布置及背景网格生成

针对形状复杂的区域，提出了一种基于节点间距函数的非均匀节点自动布置和背景网格的生成算法。该算法对不规则区域适应能力强，节点可任意加密，无需人工干预，且有实现简单、耗时少等特点。这些自动布置的离散节点可直接用于无网格数值计算。用所布置的节点进一步生成背景网格简单易行且高效，生成的背景网格还可直接用来进行后置处理。

Automatic nonuniform arrangement of nodes and generation of background cell in meshless method

An algorithm based on node space function for nonuniformly arranging the nodes automatically and for generating background cells is presented regarding to the shape with irregular boundary. This algorithm has the advantages of perfect adaptability to regions with irregular shape and arbitrary densification of nodes, easy implementation and less time consumption. These auto-arranged discrete nodes can be adopted to implement the numerical computation by meshless method directly and can also be used to generate background cells easily and efficiently. Furthermore, the generated background cells can also be applied to numerical result datum of posttreatment.