离心泵四面体网格质量衡量准则及优化算法

董亮; 刘厚林; 谈明高; 路明臻; 王勇; 王凯

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离心泵四面体网格质量衡量准则及优化算法

更新时间：2025-07-09

- 离心泵四面体网格质量衡量准则及优化算法
- Quality Measurement Criteria and Optimization Algorithm of Tetrahedral Mesh for Centrifugal Pumps
- 西安交通大学学报 2011年45卷第11期页码：100-105
- 作者机构：
  
  江苏大学流体机械工程技术研究中心,江苏,镇江,212013
- 作者简介：
- 基金信息：
  
  : 2011-04-02. 作者简介: 董亮(1981-),男,博士生;刘厚林(联系人),男,教授,博士生导师. 基金项目: 国家杰出青年基金资助项目(508255902);国家自然科学基金资助项目(51079062);江苏省2010年研究生创新计划资助项目(CA10B_263Z)
- DOI：
  中图分类号： TP391
- 网络首发：2011-11-10，
  
  纸质出版：2011
- 稿件说明：
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董亮, 刘厚林, 谈明高, 等. 离心泵四面体网格质量衡量准则及优化算法[J]. 西安交通大学学报, 2011,45(11):100-105.

Quality Measurement Criteria and Optimization Algorithm of Tetrahedral Mesh for Centrifugal Pumps[J]. 2011, 45(11): 100-105.
董亮, 刘厚林, 谈明高, 等. 离心泵四面体网格质量衡量准则及优化算法[J]. 西安交通大学学报, 2011,45(11):100-105. DOI：

Quality Measurement Criteria and Optimization Algorithm of Tetrahedral Mesh for Centrifugal Pumps[J]. 2011, 45(11): 100-105. DOI：

摘要

针对网格优化过程中边界网格质量难以控制的问题

提出一种新的网格优化算法.通过数值计算分析了不同质量衡量准则对劣质单元及其单元形状变化评判效果的等价性问题

对各衡量准则所耗费的时间进行了对比

在此基础上选用一种最优的衡量准则推导出了错误函数

并将该函数作为基于优化光顺的目标函数

目标函数中包含有考虑边界网格质量和内部网格质量的函数项

且为函数项添加了一个权重系数

从而实现了边界网格单元质量的控制.经某离心泵叶轮算例验证表明:优化后网格单元质量系数趋于0的劣质单元全部被消除

网格的整体质量得到了显著提高; 随着权重系数的增加

边界的平均网格质量有所提高.

Abstract

A new mesh optimization algorithm was proposed to control boundary mesh quality in the mesh optimization. Calculations were performed to analyze the ability of seven methods to distinguish four kinds of poor-quality elements and their effects on the equivalent change of element shape

and compare the time each method costs. Then an error function was derived from an optimal measurement criterion. The error function was adopted as the objective function of the optimization-based smoothing. In the objective function

the function terms considering boundary mesh quality and internal mesh quality were included

and a weighted coefficient controlling boundary mesh quality was added. The practical application of the optimization algorithm for a centrifugal pump impeller shows that the worst elements can be eliminated and the whole quality can be improved clearly. Moreover

the quality of the average mesh in the boundary rises with the increase in the weighted coefficient.

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references

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