一种改进的高效粒子水平集法及其应用

田辉; 王琳琳; 叶阳辉; 李国君

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一种改进的高效粒子水平集法及其应用

更新时间：2025-07-09

- 一种改进的高效粒子水平集法及其应用
- An Improved Particle Level Set Method with High-Efficiency and Its Applications
- 西安交通大学学报 2011年45卷第11期页码：34-38+126
- 作者机构：
  
  西安交通大学热流科学与工程教育部重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2011-01-19. 作者简介: 田辉(1982-),男,博士生;李国君(联系人),男,教授,博士生导师. 基金项目: 国家自然科学基金资助项目(51076126)
- DOI：
  中图分类号： TK9
- 网络首发：2011-11-10，
  
  纸质出版：2011
- 稿件说明：
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田辉, 王琳琳, 叶阳辉, 等. 一种改进的高效粒子水平集法及其应用[J]. 西安交通大学学报, 2011,45(11):34-38+126.

An Improved Particle Level Set Method with High-Efficiency and Its Applications[J]. 2011, 45(11): 34-38+126.
田辉, 王琳琳, 叶阳辉, 等. 一种改进的高效粒子水平集法及其应用[J]. 西安交通大学学报, 2011,45(11):34-38+126. DOI：

An Improved Particle Level Set Method with High-Efficiency and Its Applications[J]. 2011, 45(11): 34-38+126. DOI：

摘要

针对传统粒子水平集法效率较低

难以应用于复杂工程问题的不足

基于积分平均法及局部粒子初始化方法提出一种改进的高效粒子水平集法.将虚拟粒子引入水平集法不仅可以抑制数值扩散

而且可以降低传统方法对高精度离散格式的依赖性

从而使得引入低阶、高效的积分平均法后界面捕捉精度仍保持二阶. 通过将粒子布置于界面局部曲率较大的区域

有效地提高了粒子对界面的修正效率

增加了界面光顺性.改进的高效粒子水平集法能保持良好的鲁棒性

在保证界面捕捉精度的同时显著提高计算效率

计算效率约提高90%.

Abstract

In order to improve the efficiency of traditional particle level set method and to provide an effective way to solve complex engineering problems

an efficient particle level set method is presented by combining the integral average and the modified particle initialization technology for the accurate capturing of interfaces. The addition of particles to the level set method removes the difficulties from the numerical diffusion

and alleviates the need for computationally expensive high order accurate schemes. The integral average enables to evolve the level set function and to distribute particles into the regions with large curvature. The numerical results show that the improved numerical method retains good robustness; the accuracy of captured interface gets nearly second order; and the computational efficiency is enhanced by 90%.

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references

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