A Modeling Method of 2D Complex Geometry for Particle Method

KANG Jiangnan; SUN Yijie; SUN Zhongguo; XI Guang

doi:10.7652/xjtuxb202307015

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A Modeling Method of 2D Complex Geometry for Particle Method

更新时间：2025-07-09

- A Modeling Method of 2D Complex Geometry for Particle Method
- Vol. 57, Issue 7, Pages: 160-168(2023)
- 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：
- DOI：10.7652/xjtuxb202307015
  CLC： O351.2;TK730.2
- Online First：10 July 2023，
  
  Published：2023
- 稿件说明：
移动端阅览
KANG Jiangnan, SUN Yijie, SUN Zhongguo, et al. A Modeling Method of 2D Complex Geometry for Particle Method[J]. 2023, 57(7): 160-168.
DOI：

KANG Jiangnan, SUN Yijie, SUN Zhongguo, et al. A Modeling Method of 2D Complex Geometry for Particle Method[J]. 2023, 57(7): 160-168. DOI： 10.7652/xjtuxb202307015.

摘要

为提高无网格法数值计算中固体边界粒子离散的几何精度和均布质量

提出了一种复杂二维形状的边界粒子离散以及内部粒子填充技术。首先

使用整体微调法对单层边界粒子进行离散

再基于多边形偏移原理和圆角化处理实现多层边界粒子均匀布置; 然后

使用扫描-等距微调法和粒子补偿法进行粒子初始填充

再通过粒子迁移算法

实现内部粒子均匀填充。通过对多种典型二维复杂形状进行粒子建模和浸没算例的模拟

结果表明:该方法对狭长夹角和任意复杂形状都能实现高精度均匀离散

内部粒子数密度平均值误差低于0.4%; 与传统笛卡尔坐标系建模方式相比

使用该方法所建模型对边界的几何描述更加准确

边界周围流体的静压误差不超过6.51%。

Abstract

In order to improve the geometric accuracy and uniform distribution quality of solid boundary particle dispersion in meshless numerical calculation

boundary particle dispersion with complex two-dimensional geometries and corresponding internal particle filling technology are proposed. Firstly

single-layer boundary particles are discretized by the overall fine-tuning method

and then multi-layer boundary particles are uniformly arranged based on the polygon offset principle and the rounding process. After that

the initial filling of particles is carried out using the scan-equidistant fine tuning method and particle compensation method

followed by uniform filling of internal particles through particle migration algorithm. Through particle modeling and immersion simulation of a variety of typical two-dimensional complex geometries

the results show that the method achieves high accuracy uniform dispersion for long and narrow angles and all complex geometries

and the error of internal particle number density is less than 0.4%. Compared with the traditional Cartesian coordinate system modeling method

the model built by this method is more accurate in the geometric description of the boundary

and the static pressure error of the fluid around the boundary is not more than 6.51%.

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references

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School of Energy and Power Engineering, Xi'an Jiaotong University

西安交通大学能源与动力工程学院，710049，西安School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China

School of Energy and Power Engineering, Xi’an Jiaotong University

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