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复杂区域上的一种结构网格生成方法
  • ISSN号：1001-246X
  • 期刊名称：《计算物理》
  • 时间：0
  • 分类：O242[理学—计算数学;理学—数学]
  • 作者机构：[1]北京应用物理与计算数学研究所计算物理实验室,北京100088, [2]中国工程物理研究院北京研究生部,北京100088
  • 相关基金：国家重点基础研究发展计划（973计划）（2005CB321703）、国家自然科学基金（10431050）和计算物理实验室试点基金（51479010205ZW0901,A1520070074）资助项目. 致谢感谢林忠、沈智军、倪国喜等老师对本工作给予的指导,他们为本工作的开展提供了许多帮助.
作者： 姚彦忠[1,2], 王瑞利[1], 袁光伟[1]
关键词： 网格生成, 变分, 优化, 网格解扭, grid generation, variational method, optimization, grid untangling
中文摘要：

讨论复杂区域上的一种结构网格生成方法,其主要思想是：以变分形式的Winslow网格生成方法为基础,通过引入网格解扭机制和网格面积均匀化技术,构造出一种新的离散泛函,进而采用一类优化算法求解这一离散泛函的极小化问题,得到所希望的网格.通过分析及大量数值实验表明,这一方法比较健壮,针对二维复杂区域通常能够生成几何品质较优的网格,它在保持Winslow方法优点的同时,克服了它的一些缺点.

英文摘要：

A structured grid generation method for domains with complicated boundary is discussed. Based on the Winslow method with variational form, and combined with grid untangling and area averaging technologies, a discrete functional is designed. The minimization of the discrete functional is solved by an optimization algorithm, and good grids are generated. Numerical experiments show that the method is robust and generates grids with good geometric qualities on complicated domains. This method inherits advantages of the Winslow method and overcomes some faults.

同期刊论文项目
偏微分方程数值求解中的自适应网格方法研究
期刊论文 74 会议论文 31 著作 1
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期刊信息
  • 《计算物理》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国核学会
  • 主编：朱少平
  • 地址：北京海淀区丰豪东路2号北京应用物理与计算数学研究所
  • 邮编：100094
  • 邮箱：jswl@iapcm.ac.cn
  • 电话：010-59872547 59872545 59872547
  • 国际标准刊号：ISSN：1001-246X
  • 国内统一刊号：ISSN：11-2011/O4
  • 邮发代号:2-477
  • 获奖情况:
  • 1992年获“全优期刊”奖,《CAJ-CD规范》执行优秀奖
  • 国内外数据库收录:
  • 荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4426