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首页> 外文期刊>Mathematical Problems in Engineering >Numerical Simulation of the Generalized Newtonian Free Surface Flows by a Density Reinitialization SPH Method
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Numerical Simulation of the Generalized Newtonian Free Surface Flows by a Density Reinitialization SPH Method

机译：密度重新初始化SPH方法的广义牛顿自由表面流数值模拟

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摘要

A periodic density reinitialization smoothed particle hydrodynamics (PDRI-SPH) method is proposed to treat the generalized Newtonian free surface flows, which is based on the concept of Taylor series expansion. Meanwhile, an artificial stress term is also presented and tested, for the purpose of eliminating the unphysical phenomenon of particle clustering in fluid stretching. The free surface phenomena of a Cross model droplet impacting and spreading on an inclined rigid plate at low impacting angles are investigated numerically using the proposed PDRI-SPH method. In particular, the effect of the surface inclination and the different regimes of droplet impact, spreading and depositing on an inclined surface, are illustrated; the influence of surface inclination on the tensile instability is also concerned. The numerical results show that the accuracy and the stability of the conventional SPH are all improved by the periodic density reinitialization scheme. All numerical results agree well with the available reference data.
机译：提出了一种基于泰勒级数展开概念的周期性密度重新初始化平滑粒子流体动力学（PDRI-SPH）方法来处理广义牛顿自由表面流。同时，为了消除流体拉伸过程中颗粒团聚的非物理现象，还提出并测试了人工应力项。使用提出的PDRI-SPH方法，数值研究了交叉模型液滴在低冲击角下在倾斜的刚性板上碰撞和扩散的自由表面现象。特别是，说明了表面倾斜的影响以及液滴在倾斜表面上的冲击，散布和沉积的不同状态；还关注表面倾斜度对拉伸不稳定性的影响。数值结果表明，通过周期性密度重新初始化方案可以提高常规SPH的精度和稳定性。所有数值结果均与可用参考数据吻合良好。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第11期|915973.1-915973.17|共17页
  • 作者

    Ren Jinlian; Lu Weigang; Jiang Tao;

  • 作者单位

    Yangzhou Univ, Sch Hydraul Energy & Power Engn, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China.;

    Yangzhou Univ, Sch Hydraul Energy & Power Engn, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China.;

    Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China.;

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