单层粒子水平集方法

doi:10.16183/j.cnki.jsjtu.2020.368

上海交通大学学报 ›› 2021, Vol. 55 ›› Issue (8): 949-957.doi: 10.16183/j.cnki.jsjtu.2020.368

所属专题：《上海交通大学学报》2021年12期专题汇总专辑；《上海交通大学学报》2021年“工程力学”专题

单层粒子水平集方法

牟凯龙, 赵兰浩(), 毛佳

河海大学水利水电学院,南京 210098

收稿日期:2020-11-07 出版日期:2021-08-28 发布日期:2021-08-31
通讯作者: 赵兰浩 E-mail:zhaolanhao@hhu.edu.cn
作者简介:牟凯龙(1995-),男,山东省青岛市人,博士生,从事流固耦合研究
基金资助:
国家自然科学基金青年基金(52009034);国家重点研发计划(2018YFC0406705);霍英东教育基金会第15届高等院校青年教师基金(151073)

One-Layer Particle Level Set Method

MU Kailong, ZHAO Lanhao(), MAO Jia

College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China

Received:2020-11-07 Online:2021-08-28 Published:2021-08-31
Contact: ZHAO Lanhao E-mail:zhaolanhao@hhu.edu.cn

摘要/Abstract

摘要：

提出了一种单层粒子水平集方法,该方法利用拉格朗日粒子追踪界面特征,采用水平集方法隐式捕捉界面.首先,利用水平集方法捕捉界面.然后,基于拉格朗日粒子的位置信息对界面进行修正,最终得到平滑、精确的运动界面.该方法克服了传统水平集方法体积守恒性差的缺陷,极大地提高了运动界面的精度.另外,本文提出了简单有效的粒子重分配策略,包括粒子的添加和删除,使得该方法能够准确处理复杂的拓扑变化,如界面的合并和分离.最后,通过多个基准算例验证了本文方法的正确性和有效性,可用于精确描述运动界面.

关键词: 运动界面, 拉格朗日粒子, 水平集方法, 粒子重分配

Abstract:

A one-layer particle level set method in which Lagrangian particles are employed to track the interface features is proposed and utilized to capture the interface. First, the interface is captured by utilizing the level set method. Then, the interface is corrected based on the position information of Lagrangian particles and the smooth and accurate interface is obtained. The defect of poor volume conservation properties of the level set method is overcome, which greatly improves the accuracy of the moving interface. After that, a simple and effective particle reallocation strategy is presented, including the addition and deletion of particles, so that the method can accurately handle complex topological changes such as the interface merging and separation. Finally, the method proposed is verified by several benchmark examples, which can be used to accurately describe the moving interface.

Key words: moving interface, Lagrangian particles, level set method, particle reallocation

中图分类号:

O359

牟凯龙, 赵兰浩, 毛佳. 单层粒子水平集方法[J]. 上海交通大学学报, 2021, 55(8): 949-957.

MU Kailong, ZHAO Lanhao, MAO Jia. One-Layer Particle Level Set Method[J]. Journal of Shanghai Jiao Tong University, 2021, 55(8): 949-957.

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网格尺寸/m	数值方法	单元内粒子数	e(t)/%
网格尺寸/m	数值方法	单元内粒子数	t=1.0 s	t = 2.0 s
0.005	LS	-	2.56	6.09
	PLS	16	0.08	0.20
	本文方法	4	0.03	0.04
		9	0.03	0.04

网格尺寸/m	数值方法	单元内粒子数	e(t)/% (t=8 s)
1/256	LS	-	33.41
	PLS	16	0.38
	本文方法	4	0.08
		9	0.03

单层粒子水平集方法

One-Layer Particle Level Set Method

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