两相光滑粒子流体动力学方法在动床溃坝问题中的应用

doi:10.7523/j.issn.2095-6134.2017.05.013

中国科学院大学学报 ›› 2017, Vol. 34 ›› Issue (5): 625-632.DOI: 10.7523/j.issn.2095-6134.2017.05.013

两相光滑粒子流体动力学方法在动床溃坝问题中的应用

乔成^1,2,3, 潘华利¹, 欧国强¹

1 中国科学院水利部成都山地灾害与环境研究所中国科学院山地灾害与地表过程重点实验室, 成都 610041;
2 中国科学院大学, 北京 100049;
3 安徽理工大学土木建筑学院, 安徽淮南 232001

收稿日期:2016-06-27 修回日期:2016-10-17 发布日期:2017-09-15
通讯作者: 欧国强,E-mail:ougq@imde.ac.cn
基金资助:
国家自然科学基金（41372331，41672318）和中国科学院西部之光人才培养计划在职博士研究生资助项目资助

Application of two-phase smoothed particle hydrodynamics method to dam break over movable bed

QIAO Cheng^1,2,3, PAN Huali¹, OU Guoqiang¹

1 Key Laboratory of Mountain Surface Process and Hazards, Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China;
3 School of Civil Engineering and Architecture, Anhui University of Science & Technology, Huainan 232001, Anhui China

Received:2016-06-27 Revised:2016-10-17 Published:2017-09-15

摘要/Abstract

摘要： 光滑粒子流体动力学（SPH）方法采用离散分布的粒子作为离散工具，借助粒子和核函数将场变量及其导数以某种加权求和的方式进行计算，使得该方法更适于处理包含大位移、动边界和自由表面的问题。本文在分析动床条件下的溃坝问题时，以Drunker-Prager准则作为底床颗粒物的侵蚀启动判断条件。满足该条件而发生启动的颗粒物将以非牛顿流体的特征发生运动，即以Herschel-Bulkley-Papanastasiou模型来描述；否则，认为底床颗粒物未启动而保持静止状态。为进一步改进计算结果，采用基于体积比的两相SPH方法描述固液混合体的动力学特征，并基于固液混合颗粒流的动力学特征对混合黏度的计算进行改进。基于上述原理，分析动床条件下的溃坝问题，并将数值计算结果与已有的实验数据进行对比，证明本文提出的混合黏度计算公式改进了数值计算结果。

关键词: 光滑粒子流体动力学, 动床, 溃坝, 两相, 非牛顿流体

Abstract: Smoothed particle hydrodynamics (SPH) method adopts discrete particles for discretion of computational domain,and field variables and their spatial derivatives are evaluated by summation interpolation based on particle and kernel functions,which makes this method more suitable for processing the large displacement,movable boundary,and free surface problems.In order to analyze the dam break problem over movable bed,an erosion condition based on Drunker-Prager is used.The particles satisfying this condition will move with the non-Newtonian characteristic,i.e.,Herschel-Bulkley-Papanastasiou rheology,while the particles which do not satisfy the condition will remain still.In order to improve the results of numerical modelling further,a two-phase SPH method which is based on the ratio of volume is applied when modelling the dynamics of mixture,and the calculation of viscosity of mixture is improved based on the dynamic characters of solid-fluid mixture.A dam-break problem over movable bed is analyzed based on the model mentioned above.Numerical results are compared with the experimental data,and the comparison verifies that the proposed formula improves the results of numerical modelling.

Key words: smoothed particle hydrodynamics, movable bed, dam break, two-phase, non-Newtonian fluid

中图分类号:

TU443

乔成, 潘华利, 欧国强. 两相光滑粒子流体动力学方法在动床溃坝问题中的应用[J]. 中国科学院大学学报, 2017, 34(5): 625-632.

QIAO Cheng, PAN Huali, OU Guoqiang. Application of two-phase smoothed particle hydrodynamics method to dam break over movable bed[J]. , 2017, 34(5): 625-632.

参考文献

[1] Gingold R A, Monaghan J J. Smoothed particle hydrodynamics:theory and application to non-spherical stars[J]. Monthly Notices of the Royal Astronomical Society, 1977,181(3):375-389.
[2] Lucy L B. A numerical approach to the testing of the fission hypothesis[J]. The Astronomical Journal, 1977,82:1013-1024.
[3] Shao S, Lo E Y M. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface[J]. Advances in Water Resources, 2003,26(7):787-800.
[4] Laigle D, Lachamp P, Naaim M. SPH-based numerical investigation of mudflow and other complex fluid flow interactions with structures[J]. Computational Geosciences, 2007,11(4):297-306.
[5] Manenti S, Sibilla S, Gallati M, et al. SPH Simulation of Sediment Flushing Induced by a Rapid Water Flow[J]. Journal of Hydraulic Engineering, 2012,138(3):272-284.
[6] Razavitoosi S L, Ayyoubzadeh S A, Valizadeh A. Two-phase SPH modelling of waves caused by dam break over a movable bed[J]. International Journal of Sediment Research, 2014,29(3):344-356.
[7] Ulrich C, Leonardi M, Rung T. Multi-physics SPH simulation of complex marine-engineering hydrodynamic problems[J]. Ocean Engineering, 2013,64:109-121.
[8] Ran Q, Tong J, Shao S, et al. Incompressible SPH scour model for movable bed dam break flows[J]. Advances in Water Resources, 2015,82(8):39-50.
[9] Shakibaeinia A, Jin Y-C. A mesh-free particle model for simulation of mobile-bed dam break[J]. Advances in Water Resources, 2011,34(6):794-807.
[10] Fourtakas G, Rogers B D. Modelling multi-phase liquid-sediment scour and resuspension induced by rapid flows using Smoothed Particle Hydrodynamics (SPH) accelerated with a Graphics Processing Unit (GPU)[J]. Advances in Water Resources, 2016,92(6):186-199.
[11] Xu X, Ouyang J, Yang B, et al. SPH simulations of three-dimensional non-Newtonian free surface flows[J]. Computer Methods in Applied Mechanics and Engineering, 2013,256(4):101-116.
[12] Fourtakas G, Rogers B D, Laurence D R. Modelling sediment resuspension in industrial tanks using SPH[J]. La Houille Blanche, 2013,(2):39-45.
[13] Monaghan J J. Simulating free surface flows with SPH[J]. Journal of Computational Physics, 1994,110(2):399-406.
[14] Morris J, Monaghan J. A switch to reduce SPH viscosity[J]. Journal of Computational Physics, 1997,136(1):41-50.
[15] Fang J, Parriaux A, Rentschler M, et al. Improved SPH methods for simulating free surface flows of viscous fluids[J]. Applied Numerical Mathematics, 2009,59(2):251-271.
[16] Chen W-F, Mizuno E. Nonlinear analysis in soil mechanics[M]. Amsterdam:Elsevier, 1990.
[17] Rodriguez-Paz M X, Bonet J. A corrected smooth particle hydrodynamics method for the simulation of debris flows[J]. Numerical Methods for Partial Differential Equations, 2004,20(1):140-163.
[18] Frigaard I A, Nouar C. On the usage of viscosity regularisation methods for visco-plastic fluid flow computation[J]. Journal of Non-Newtonian Fluid Mechanics, 2005,127(127):1-26.
[19] Papanastasiou T C. Flows of Materials with Yield[J]. Journal of Rheology, 1987,31(5):385-404.
[20] Gotoh H, Fredsoe Jr. Lagrangian two-phase flow model of the settling behavior of fine sediment dumped into water//International Conference on Coastal Engineering, 2001:3906-3919.
[21] Vand V. Viscosity of Solutions and Suspensions. I. Theory[J]. The Journal of Physical and Colloid Chemistry, 1948,52(2):277-299.
[22] Bagnold R A. Experiments on a Gravity-Free Dispersion of Large Solid Spheres in a Newtonian Fluid under Shear[J]. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences, 1954,225(1160):49-63.
[23] Armanini A, Larcher M, Nucci E, et al. Submerged granular channel flows driven by gravity[J]. Advances in Water Resources, 2014,63(2):1-10.
[24] Savage S B. The mechanics of rapid granular flows[J]. Advances in Applied Mechanics, 1984,24(87):289-366.
[25] Spinewine B. Two-layer flow behaviour and the effects of granular dilatancy in dam-break induced sheet-flow. Belgium:Université catholique de Louvain PhD Thesis, 2005.
[26] Leimkuhler B J, Reich S, Skeel R D. Mathematical approaches to biomolecular structure and dynamics[M]. New York:Springer,1996:161-185.
[27] Molteni D, Colagrossi A. A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH[J]. Computer Physics Communications, 2009,180(6):861-872.

两相光滑粒子流体动力学方法在动床溃坝问题中的应用

Application of two-phase smoothed particle hydrodynamics method to dam break over movable bed

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价

访问统计

联系我们

[1]	郭胜荣, 刘润聪, 戴晓天, 王晓东, 那贤昭. 金属液滴的电毛细运动规律[J]. 中国科学院大学学报, 2021, 38(1): 54-61.
[2]	乔永辉, 罗坤, 樊建人, 毛乐, 竺挺. 伴随原位开窗的胸主动脉腔内修复术后血液两相流动数值模拟[J]. 中国科学院大学学报, 2020, 37(2): 192-197.
[3]	刘皓, 谭超, 董峰. 基于高斯回归预测的超声成像高分辨率重建[J]. 中国科学院大学学报, 2020, 37(2): 234-241.
[4]	李振中, 魏进家, 宇波. 稀疏气固两相槽道湍流中颗粒受力的理论和数值分析[J]. 中国科学院大学学报, 2017, 34(2): 146-152.
[5]	高歌, 吴海浩, 全青, 宫敬, 王玮. 气液两相间歇流管道蜡沉积实验研究[J]. 中国科学院大学学报, 2017, 34(2): 226-231.
[6]	王鑫, 董传帅, 张晓凌, 岳晓庆, 何利民. 空气-水段塞流冷却传热与相界面分布实验研究[J]. 中国科学院大学学报, 2017, 34(2): 232-236.
[7]	吴昊, 谭超, 董峰. 电容电导传感器油水两相流含率测量[J]. 中国科学院大学学报, 2017, 34(2): 237-243.
[8]	张欣雨, 谢静, 宇波. 起伏管道空管投油气液两相流动的数值模拟[J]. 中国科学院大学学报, 2017, 34(2): 265-272.
[9]	杨健慧, 卢文强, 李青, 吴锋, 郭方中. 管内气液两相流动空泡率传播模型研究[J]. 中国科学院大学学报, 2004, 21(3): 322-327.