一种适用于粒子法的二维复杂几何形状建模方法

康江南; 孙一颉; 孙中国; 席光

doi:10.7652/xjtuxb202307015

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一种适用于粒子法的二维复杂几何形状建模方法

—————————————————————— | 更新时间：2025-07-09

- 一种适用于粒子法的二维复杂几何形状建模方法
- A Modeling Method of 2D Complex Geometry for Particle Method
- 西安交通大学学报 2023年57卷第7期页码：160-168
- 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：
  
  : 2023-01-11。作者简介: 康江南(1997—),男,硕士生
  孙中国(通信作者),男,教授。基金项目: 国家自然科学基金资助项目(51922085)。
- 基金信息：
  
  : 2023-01-11。作者简介: 康江南(1997—),男,硕士生;孙中国(通信作者),男,教授。基金项目: 国家自然科学基金资助项目(51922085)。
- DOI：10.7652/xjtuxb202307015
  中图分类号： O351.2;TK730.2
- 网络首发：2023-07-10，
  
  纸质出版：2023
- 稿件说明：
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康江南, 孙一颉, 孙中国, 等. 一种适用于粒子法的二维复杂几何形状建模方法[J]. 西安交通大学学报, 2023,57(7):160-168.

KANG Jiangnan, SUN Yijie, SUN Zhongguo, et al. A Modeling Method of 2D Complex Geometry for Particle Method[J]. 2023, 57(7): 160-168.
康江南, 孙一颉, 孙中国, 等. 一种适用于粒子法的二维复杂几何形状建模方法[J]. 西安交通大学学报, 2023,57(7):160-168. DOI： 10.7652/xjtuxb202307015.

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

LUCY L B. A numerical approach to the testing of the fission hypothesis [J]. The Astronomical Journal, 1997, 82(12): 1013-1024.

CHEN J S, PAN C, WU C T. Large deformation analysis of rubber based on a reproducing kernel particle method [J]. Computational Mechanics, 1997, 19(3): 211-227.

KRYSL P, BELYTSCHKO T. The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks [J]. International Journal for Numerical Methods in Engineering, 1999, 44(6): 767-800.

MODARESSI H, AUBERT P. Element-free Galerkin method for deforming multiphase porous media [J]. International Journal for Numerical Methods in Engineering, 1998, 42(2): 313-340.

张凯, 周子棋, 孙中国, 等. 污染物在水中扩散的MPS数值模拟 [J]. 工程热物理学报, 2022, 43(12): 3277-3284.

ZHANG Kai, ZHOU Ziqi, SUN Zhongguo, et al. Numerical simulations of pollutant diffusion in water using MPS method [J]. Journal of Engineering Thermophysics, 2022, 43(12): 3277-3284.

KOSHIZUKA S, OKA Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid [J]. Nuclear Science and Engineering, 1996, 123(3): 421-434.

GINGOLD R A, MONAGHAN J J. Smoothed particle hydrodynamics: theory and application to non-spherical stars [J]. Monthly Notices of the Royal Astronomical Society, 1997, 181(3): 375-389.

BASA M, QUINLAN N J, LASTIWKA M. Robustness and accuracy of SPH formulations for viscous flow [J]. International Journal for Numerical Methods in Fluids, 2009, 60(10): 1127-1148.

刘谋斌, 常建忠. 光滑粒子动力学方法中粒子分布与数值稳定性分析 [J]. 物理学报, 2010, 59(6): 3654-3662.

LIU Moubin, CHANG Jianzhong. Particle distribution and numerical stability in smoothed particle hydrodynamics method [J]. Acta Physica Sinica, 2010, 59(6): 3654-3662.

ZHANG Kai, SUN Yijie, SUN Zhongguo, et al. An efficient MPS refined technique with adaptive variable-size particles [J]. Engineering Analysis with Boundary Elements, 2022, 143: 663-676.

雷娟棉, 黄灿. 一种改进的光滑粒子流体动力学前处理方法 [J]. 物理学报, 2014, 63(14): 144702-1-144702-10.

LEI Juanmian, HUANG Can. An improved pre-processing method for smooth particle hydrodynamics [J]. Acta Physica Sinica, 2014, 63(14): 144702-1-144702-10.

李帝辰, 席光, 孙中国. 无网格粒子法中复杂二维形状的均布离散方法 [J]. 西安交通大学学报, 2013, 47(11): 120-126.

LI Dichen, XI Guang, SUN Zhongguo. Uniform discretization of 2-dimensional complex geometrical area for meshless particle method [J]. Journal of Xi'an Jiaotong University, 2013, 47(11): 120-126.

XU Rui, STANSBY P, LAURENCE D. Accuracy and stability in incompressible SPH(ISPH)based on the projection method and a new approach [J]. Journal of Computational Physics, 2009, 228(18): 6703-6725.

LIND S J, XU R, STANSBY P K, et al. Incompressible smoothed particle hydrodynamics for free-surface flows: a generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves [J]. Journal of Computational Physics, 2012, 231(4): 1499-1523.

KHAYYER A, GOTOH H, SHIMIZU Y. Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context [J]. Journal of Computational Physics, 2017, 332: 236-256.

JANDAGHIAN M, SHAKIBAEINIA A. An enhanced weakly-compressible MPS method for free-surface flows [J]. Computer Methods in Applied Mechanics and Engineering, 2020, 360: 112771.

韩沛东, 刘启新, 周子棋, 等. 负压梯度下自由面流动模拟的无网格粒子法Dirichlet边界条件 [J]. 西安交通大学学报, 2022, 56(8): 141-148.

HAN Peidong, LIU Qixin, ZHOU Ziqi, et al. Dirichlet boundary conditions in meshless particle methods for free-surface flow simulation under negative pressure gradient [J]. Journal of Xi'an Jiaotong University, 2022, 56(8): 141-148.

YU Yongchuan, ZHU Yujie, ZHANG Chi, et al. Level-set based pre-processing algorithm for particle-based methods [EB/OL].(2022-07-12)[2023-01-01]. https://doi.org/10.48550/arXiv.2209.04424.

ADALSTEINSSON D, SETHIAN J A. A fast level set method for propagating interfaces [J]. Journal of Computational Physics, 1995, 118(2): 269-277.

GÓMEZ P, HERNÁNDEZ J, LÓPEZ J. On the reinitialization procedure in a narrow-band locally refined level set method for interfacial flows [J]. International Journal for Numerical Methods in Engineering, 2005, 63(10): 1478-1512.

倪国喜, 王瑞利, 林忠, 等. 任意区域上的粒子均匀分布方法 [J]. 计算力学学报, 2007, 24(4): 408-413.

NI Guoxi, WANG Ruili, LIN Zhong, et al. Equi-distribution of particles in arbitrary domain [J]. Chinese Journal of Computational Mechanics, 2007, 24(4): 408-413.

李明飞, 孙伟, 王博, 等. SPH粒子初始化均布方法及其均布质量评价 [J]. 力学季刊, 2021, 42(4): 789-799.

LI Mingfei, SUN Wei, WANG Bo, et al. Equi-distribution of SPH particle initialization and its quality evaluation [J]. Chinese Quarterly of Mechanics, 2021, 42(4): 789-799.

陈正鸣, 徐镇全. 一个多边形快速等距偏移方法 [J]. 现代制造工程, 2004(12): 7-10.

CHEN Zhengming, XU Zhenquan. A fast offset method for polygon [J]. Modern Manufacturing Engineering, 2004(12): 7-10.

AIYITI W, XIANG J, ZHANG Lianzhong, et al. Study on the veritable parameters filling method of plasma arc welding based rapid prototyping [J]. Key Engineering Materials, 2012, 522: 110-116.

SHIBATA K, MASAIE I, KONDO M, et al. Improved pressure calculation for the moving particle semi-implicit method [J]. Computational Particle Mechanics, 2015, 2(1): 91-108.

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