Abstract: The paper presents the idea of weak domain indicating function which describes the field and proves the existence and non-exclusiveness for it，then it generates the unstructured mesh of two space dimension domain according to scale function.By boundary attraction the mesh boundary approached the domain boundary and inner-domain boundary，the spring and equilateral triangle approach method optimizes the mesh structure effectually.Finally，spring realizes adaptive mesh by the evolvement of weak domain indicating function and the instruct of the monitor function.

Key words: unstructured mesh, weak domain indicating function, adaptive mesh, spring optimization, boundary attraction

摘要： 提出弱区域指示函数描述流场形状并证明了其存在和不唯一性；利用该函数基于Delaunay方法依据流场尺度生成二维非结构网格。其中，边界引力有效解决了流场边界恢复和内嵌边界问题，弹簧振子和正三角形趋进技术有效改善网格质量。最后，弹簧振子随着弱区域指示函数的演变与监测函数的指导成功应用到自适应网格生成。

关键词: 非结构网格, 区域指示函数, 适应网格, 簧振子, 界引力