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基于错误函数的四面体网格优化方法
引用本文:刘厚林,路明臻,董亮,任芸,舒敏骅.基于错误函数的四面体网格优化方法[J].江苏大学学报(自然科学版),2011,32(1):60-64.
作者姓名:刘厚林  路明臻  董亮  任芸  舒敏骅
作者单位:江苏大学,流体机械工程技术研究中心,江苏,镇江,212013
基金项目:国家杰出青年基金资助项目(50825902); 国家“863”计划项目(2006AA05Z250)
摘    要:通过对现有网格优化算法及网格质量函数的研究,选用常见的四面体网格质量函数,同时考虑边质量约束,推导出了错误函数,基于这个错误函数对四面体网格进行优化.采用错误函数作为基于优化算法光顺的目标函数.并通过应用变尺度法(BFGS)求解错误函数最小值问题对四面体网格进行光顺.将改进的基于优化算法的光顺与拓扑优化算法中的点重叠技...

关 键 词:四面体网格  网格优化  错误函数  拓扑优化  交换技术

Optimization of tetrahedral mesh based on error function
Liu Houlin,Lu Mingzhen,Dong Liang,Ren Yun,Shu Minhua.Optimization of tetrahedral mesh based on error function[J].Journal of Jiangsu University:Natural Science Edition,2011,32(1):60-64.
Authors:Liu Houlin  Lu Mingzhen  Dong Liang  Ren Yun  Shu Minhua
Institution:Liu Houlin,Lu Mingzhen,Dong Liang,Ren Yun,Shu Minhua(Research Center of Fluid Machinery Engineering and Technology,Jiangsu University,Zhenjiang,Jiangsu 212013,China)
Abstract:With the development of mesh technique,mesh optimization becomes more and more important.Several usual mesh optimization methods were briefly reviewed.According to the study of used measurement for tetrahedral element quality,an error function was introduced.The mesh was optimized based on the error function.The error function was adopted as the composite function of the optimization-based smoothing.The smoothing can be calculated by minimizing the error function using Broyden Fletcher Goldfarb Shanno(BFGS)...
Keywords:tetrahedral elements  mesh optimization  error function  topology optimization  swapping  
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