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清华大学学报(自然科学版)  2018, Vol. 58 Issue (2): 181-187    DOI: 10.16511/j.cnki.qhdxxb.2018.25.002
  核能与新能源工程 本期目录 | 过刊浏览 | 高级检索 |
适用于粒子法的精准连续表面力模型
孙晨, 姜胜耀, 段日强
清华大学 核能与新能源技术研究院, 先进核能技术协同创新中心, 先进反应堆工程与安全教育部重点实验室, 北京 100084
Accurate continuum surface force model applicable to particle methods
SUN Chen, JIANG Shengyao, DUAN Riqiang
Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Collaborative Innovation Center of Advanced Nuclear Energy Technology, Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing 100084, China
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摘要 针对粒子法中表面张力计算的准确性问题,该文对连续表面力(continuum surface force,CSF)模型进行了改进。在采用一种几何法精准识别界面粒子的基础上,曲率由仅需考虑作用域内界面粒子的单位法线面散度计算得到,且表面张力仅作用于界面粒子。圆和椭圆的曲率计算结果表明,改进后的模型在合适的分辨率和光滑长度下可实现较高的曲率计算精度。采用移动粒子半隐式(moving particle semi-implicit,MPS)方法对表面张力作用下的方形液滴振荡和液滴碰撞过程进行了二维单相流动模拟,模拟结果的振荡周期与理论值接近,液滴形状合理且表面光滑,表明改进后的CSF模型可准确地模拟动态算例中的表面张力作用。
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孙晨
姜胜耀
段日强
关键词 粒子法表面张力连续表面力模型移动粒子半隐式法    
Abstract:The continuum surface force (CSF) model was used to improve the accuracy of surface tension calculation using the particle method. A geometric method was developed to accurately detect the boundary particle with the curvature calculated from the surface divergence of the unit normal, which only depends on the boundary particles in the interaction domain. The surface tension was then calculated only on the boundary particle. Curvature calculation results using a circle and an ellipse showed that the curvature calculation is more accurate with the proper resolution and smoothing length. Two-dimensional, two single-phase models of square drop oscillations and two drops colliding with surface tension effects were simulated using the moving particle semi-implicit (MPS) method. The predicted oscillation periods agreed well with analytical results with reasonable shape and smooth surfaces. The results indicate that this improved CSF model can accurately simulate the surface tension effect in two-phase flows.
Key wordsparticle method    surface tension    continuum surface force model    moving particle semi-implicit method
收稿日期: 2017-07-19      出版日期: 2018-02-15
ZTFLH:  O351.2  
通讯作者: 段日强,副研究员,E-mail:duanrq@tsinghua.edu.cn     E-mail: duanrq@tsinghua.edu.cn
引用本文:   
孙晨, 姜胜耀, 段日强. 适用于粒子法的精准连续表面力模型[J]. 清华大学学报(自然科学版), 2018, 58(2): 181-187.
SUN Chen, JIANG Shengyao, DUAN Riqiang. Accurate continuum surface force model applicable to particle methods. Journal of Tsinghua University(Science and Technology), 2018, 58(2): 181-187.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2018.25.002  或          http://jst.tsinghuajournals.com/CN/Y2018/V58/I2/181
  图1 界面粒子的识别
  图2 圆的表面张力
  表1 不同分辨率和光滑长度下的曲率计算误差
  图3 第一象限内椭圆的表面张力
  图4 不同分辨率和光滑长度下椭圆曲率计算相对误差
  图5 方形液滴振荡过程
  图6 液滴的动能
  图7 液滴正面碰撞过程
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