基于弹簧近似的非结构化网格自适应处理方法

孙旭 1; 张家忠 1; 黄科峰 2

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基于弹簧近似的非结构化网格自适应处理方法

更新时间：2025-07-09

- 基于弹簧近似的非结构化网格自适应处理方法
- Spring Analogy-Based Adaptive Method for Unstructured Grids
- 西安交通大学学报 2010年44卷第9期页码：104-108
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2010-01-25. 作者简介: 孙旭(1982-),男,博士生;张家忠(联系人),男,教授,博士生导师. 基金项目: 教育部新世纪优秀人才支持计划资助项目(NCET-07-0685)
- DOI：
  中图分类号： O241.82
- 网络首发：2010-09-10，
  
  纸质出版：2010
- 稿件说明：
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孙旭 1, 张家忠 1, 黄科峰 2. 基于弹簧近似的非结构化网格自适应处理方法[J]. 西安交通大学学报, 2010,44(9):104-108.

Spring Analogy-Based Adaptive Method for Unstructured Grids[J]. 2010, 44(9): 104-108.
孙旭 1, 张家忠 1, 黄科峰 2. 基于弹簧近似的非结构化网格自适应处理方法[J]. 西安交通大学学报, 2010,44(9):104-108. DOI：

Spring Analogy-Based Adaptive Method for Unstructured Grids[J]. 2010, 44(9): 104-108. DOI：

摘要

首先对弹簧近似法进行了说明

并对节点弹簧法和边弹簧法进行了对比.在边弹簧法的基础上

从调节弹簧平衡长度的角度出发

提出了一种非结构化网格的自适应处理方法

并结合有限单元法

给出了网格自适应处理的流程.最后

对一维对流扩散方程、二维线性抛物型方程以及欧拉方程进行了求解.计算结果表明:文中提出的网格自适应处理方法可以使几个问题的网格节点布置更为合理

有效地降低数值误差

提高计算精度

特别对于算例中所涉及的二维非结构化网格

自适应化过程中并没有出现网格重叠现象.

Abstract

Based on the spring analogy method

an adaptive technique for unstructured grids is proposed. The spring analogy method is introduced and the details about vertex spring and segment spring are discussed. Then

a new method of grid adaptation based on segment spring analogy and the corresponding adaptive procedure are proposed and applied to the problems governed by the one-dimensional convection-diffusion equation

the two-dimensional linear parabolic equation

and the Euler equations. A better distribution of the grid nodes is obtained

and the numerical errors of these problems are significantly decreased. Especially

for the two-dimensional unstructured grids concerned in these problems

overlapping of the grid elements is avoided.

关键词

Keywords

references

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