计算物理 ›› 2007, Vol. 24 ›› Issue (3): 253-260.

• 论文 •    下一篇

推进方式的参考Jacobian网格优化目的

姚彦忠1,2, 袁光伟1, 倪国喜1   

  1. 1. 北京应用物理与计算数学研究所, 北京 100088;
    2. 中国工程物理研究院北京研究生部, 北京 100088
  • 收稿日期:2006-02-14 修回日期:2006-06-09 出版日期:2007-05-25 发布日期:2007-05-25
  • 作者简介:姚彦忠(1972-),男,河南,副研究员,博士生,从事网格生成与优化、科学计算可视化方面的研究,北京8009信箱26分箱100088.
  • 基金资助:
    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);计算物理实验室试点基金(51479010205ZW0901)资助项目

An Advancing Reference Jacobian Optimization-based Grid Rezone Method

YAO Yanzhong1,2, YUAN Guangwei1, NI Guoxi1   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    2. Graduate School of CAEP, Beijing 100088, China
  • Received:2006-02-14 Revised:2006-06-09 Online:2007-05-25 Published:2007-05-25

摘要: 将参考Jacobian目的与前沿推进目的相结合,设计一种推进方式的参考Jacobian网格优化目的.该目的从计算区域的部分边界开始,沿着给定的方向逐步推进,每前进一步都以相邻的两行(或两列)结点为边界采用参考Jacobian目的进行优化,其中处于后方的一行(或一列)使用的是前一步优化后的结点.分析及数值实验表明,与参考Jacobian目的相比,不仅能大幅度降低执行时间,而且优化后的网格在几何品质方面相当接近,甚至更优,得到的网格与Lagrange网格更接近.

关键词: 网格优化, 参考Jacobian, 网格重分

Abstract: Combining reference Jacobian method(RJM) with advancing-front method,we present a strategy named advancing reference Jacobian method(ARJM).It advances the optimization process step by step from one part of the computational region boundary to the remaining parts.In each step,two neighboring rows(or columns) are taken as the boundaries of the sub-region and the rear row(column) nodes are the optimized ones and the middle row(or column) is optimized by RJM. Analyses and numerical experiments show that the ARJM is much faster than RJM.The geometric qualities of rezoned grids by ARJM are equal to or even better than those by RJM.The rezoned grids obtained by ARJM are closer to Lagrangian grids than those by RJM.

Key words: grid optimization, reference Jacobian, grid rezone

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