一个解析三维非结构网格生成方法  

A Method for 3D Unstructured Mesh Generation Based on Weak Domain-Indicating Function and Its Application in Adaptive Mesh

作　　者：王盛玺[1] 宋松和[1] 高二[1] 田笑洁[1] 

机构地区：[1]国防科学技术大学理学院,湖南长沙410073

出　　处：《航空计算技术》2009年第3期1-7,17,共8页Aeronautical Computing Technique

基　　金：国家自然科学基金(10571178)

摘　　要：给出了一个三维非结构网格生成方法。提出弱区域指示函数描述三维封闭流场形状,并证明了该函数的存在不唯一性。利用该函数基于Delaunay方法依据流场尺度生成网格结构。其中,边界引力有效解决了流场边界恢复和内嵌边界问题,弹簧振子和正四面体趋进技术有效调整网格结构并提高网格质量。最后,弹簧振子和边界引力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。The paper gave a method realizing adaptive unstructured mesh generation for three space dimensional closed field according to scale functions. It presented the idea of weak domain indicating function which described the field and proved the existence and non- exclusiveness for it. By boundary attraction the mesh boundary approached the domain boundary and inner- domain boundary, the spring and equilateral tetrahedron approach method optimized the mesh structure effectually. Finally, spring and boundary attraction realized adaptive mesh by the evolvement of weak domain indicating functions and the instruct of the monitor functions.

关 键 词：非结构网格 弱区域指示函数 弹簧振子函数 边界引力 自适应网格 

分 类 号：O242.21[理学—计算数学]