推进方式的参考Jacobian网格优化方法  

An Advancing Reference Jacobian Optimization-based Grid Rezone Method

作　　者：姚彦忠[1] 袁光伟[1] 倪国喜[1] 

机构地区：[1]北京应用物理与计算数学研究所

出　　处：《计算物理》2007年第3期253-260,共8页Chinese Journal of Computational Physics

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);计算物理实验室试点基金(51479010205ZW0901)资助项目

摘　　要：将参考Jacobian方法与前沿推进方法相结合,设计一种推进方式的参考Jacobian网格优化方法.该方法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方法进行优化,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方法相比,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.Combining reference Jacobian method （RIM） with advancing-front method, we present a strategy named advancing reference Jacobian method （ARIM）. 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 RIM. Analyses and numerical experiments show that the ARJM is much faster than RIM. The geometric qualities of rezoned grids by ARJM are equal to or even better than those by RIM. The rezoned grids obtained by ARJM are closer to Lagrangian grids than those by RIM.

关 键 词：网格优化 参考Jacobian 网格重分 

分 类 号：O242[理学—计算数学]