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

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

¹中国科学技术大学数学科学学院, 合肥 230026;²清华大学航天航空学院, 北京 100084

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
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- 文章访问数: 1750
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- PDF下载量: 531
- 被引次数: 0
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

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

¹School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, P.R.China;²School of Aerospace Engineering, Tsinghua University, Beijing 100084, P.R.China

摘要

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.
- SPH方法 /
- 多相流 /
- Rayleigh-Taylor界面不稳定 /
- 溃坝 /
- 气泡
Abstract: Interfacial flows with high density ratios ranging from 1 to 1 000 were numerically investigated. Modified particle approximation was proposed for the pressure gradient term in the momentum equation and the repulsive force was imposed for virtual particles outside the interfaces. The Rayleigh-Taylor instability, non-Boussinesq lock exchange, dam-break flow and bubble buoyancy were numerically tested for validation of accuracy and robustness of the new SPH algorithm for multi-fluid flows. The particle distributions, pressure contours and pressure-time distributions at specified points were obtained from the computations. The results are in good agreement with those from references and experimental measurements. The captured interfaces are more smooth in comparison with those from previous literatures and no obvious oscillations are observed in the vicinity of the interfaces.
- smoothed particle hydrodynamics algorithm /
- multi-phase flow /
- Rayleigh-Taylor instability /
- dam-break flow /
- bubble

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参考文献(33)

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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

doi: 10.21656/1000-0887.390126

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).

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

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留言板

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

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).

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出版历程

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

计量

出版历程

目录

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).