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修正压力梯度粒子近似SPH方法计算大密度比界面流动

徐丞君 徐胜利 刘庆源

徐丞君, 徐胜利, 刘庆源. 修正压力梯度粒子近似SPH方法计算大密度比界面流动[J]. 应用数学和力学, 2019, 40(1): 20-35. doi: 10.21656/1000-0887.390126
引用本文: 徐丞君, 徐胜利, 刘庆源. 修正压力梯度粒子近似SPH方法计算大密度比界面流动[J]. 应用数学和力学, 2019, 40(1): 20-35. doi: 10.21656/1000-0887.390126
XU Chengjun, XU Shengli, LIU Qingyuan. Modified Particle Approximation to Pressure Gradients in the SPH Algorithm for Interfacial Flows With High Density Ratios[J]. Applied Mathematics and Mechanics, 2019, 40(1): 20-35. doi: 10.21656/1000-0887.390126
Citation: XU Chengjun, XU Shengli, LIU Qingyuan. Modified Particle Approximation to Pressure Gradients in the SPH Algorithm for Interfacial Flows With High Density Ratios[J]. Applied Mathematics and Mechanics, 2019, 40(1): 20-35. doi: 10.21656/1000-0887.390126

修正压力梯度粒子近似SPH方法计算大密度比界面流动

doi: 10.21656/1000-0887.390126
详细信息
    作者简介:

    徐丞君(1991—),男,硕士(E-mail: xucjh@mail.ustc.edu.cn);徐胜利(1965—),男,教授,博士,博士生导师(通讯作者. E-mail: slxu@mail.tsinghua.edu.cn);刘庆源(1990—),男,博士(E-mail: qyliu@ustc.edu.cn).

  • 中图分类号: O242.1

Modified Particle Approximation to Pressure Gradients in the SPH Algorithm for Interfacial Flows With High Density Ratios

  • 摘要: 计算了高密度比的多界面流动问题.为保证多相SPH(smoothed-particle hydrodynamics)方法捕捉界面光滑性和消除界面附近压力震荡,修正了动量方程压强梯度项的粒子近似,在界面施加了排斥力.采用Rayleigh-Taylor界面不稳定性、非Boussinesq锁定交换、溃坝和气泡上升等算例验证了该方法的准确性和健壮性,得到不同时刻界面(粒子)分布、压力云图和指定点压力时间分布、界面锋面距离等.所得结果表明:计算结果(如界面形状、光滑性和指定点压力分布等)与实验值或其他文献结果符合较好.修正的压力梯度项粒子近似,改善了多相SPH方法对高密度比、大变形和破碎多相界面的模拟能力和光滑性,同时界面附近未出现明显的压力震荡.
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出版历程
  • 收稿日期:  2018-04-19
  • 修回日期:  2018-11-12
  • 刊出日期:  2019-01-01

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