水土耦合SPH数值模型的正则化修正及其应用

张卫杰; 高玉峰; 黄雨; 前田健一

doi:10.11779/CJGE201802006

水土耦合SPH数值模型的正则化修正及其应用 English Version

1.河海大学岩土力学与堤坝工程教育部重点实验室,江苏南京 210098
2.河海大学土木与交通学院岩土工程研究所,江苏南京 210098
3.同济大学地下建筑与工程系,上海 200098
4.名古屋工业大学土木工程系,名古屋 466-8555

详细信息

中图分类号: TU43
计量
- 文章访问数: 506
- HTML全文浏览量: 6
- PDF下载量: 483
出版历程
- 收稿日期: 2016-07-10
- 发布日期: 2018-02-24

Normalized correction of soil-water-coupled SPH model and its application

1.MOE Key Laboratory of Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China
2.Geotechnical Research Institute, College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China
3.Department of Geotechnical Engineering, Tongji University, Shanghai 200098, China
4.Department of Civil Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan

摘要

摘要: 传统光滑粒子流体动力学（smoothed particle hydrodynamics,简称SPH）方法的光滑粒子近似在粒子数量不足的区域可能导致场函数及其梯度的不合理评价,从而引起物理量的非正常波动,即张力不稳定问题（tensile instability）。针对当前研究较少关注岩土工程SPH方法精度问题的现状,提出了一种基于正则化修正的水土耦合SPH数值模型,较好地避免了张力不稳定问题。在提出的模型中,根据Biot固结原理将固相（土骨架）和液相（孔隙水）分配到不同的计算层,同时通过状态方程计算液相的压力变化,采用弹性模型描述土骨架的应力-应变关系。在三维水体溃坝模型的模拟、无地下水和有地下水的堤防自重应力分析中应用了提出的SPH模型,并对比分析了有限元、未修正SPH和修正SPH计算结果,表明基于正则化修正的SPH模型较未修正模型具有更好的精度,为SPH方法在岩土体渐进式破坏问题上的应用提供了重要的参考意义。
- 光滑粒子流体动力学 /
- 张力不稳定 /
- 水土耦合 /
- 正则化修正
Abstract: The smoothing approximation in the traditional smoothed particle hydrodynamics (SPH) method often leads to an unreasonable evaluation of field variables and their gradients in areas of boundary, free surface and interface of phases, called as the tensile instability that accounts for the fluctuations of pressure and stress. For the lack of researches on the accurate SPH model in geotechnical engineering, this research proposes a water-soil-coupled SPH model that is treated by the normalized correction and can avoid the tensile instability to some extent. In the proposed model, liquid phase (pore water) and solid phase (soil skeleton) are assigned to different layers according to the Biot’s theory of consolidation, the pressure of the liquid phase is calculated based on the equation of state, and the elastic model is used to describe the mechanical behavior of soil skeleton. The proposed SPH model is applied to the analysis of 3D dam-break case, geostatic stress states of a dike model without or with groundwater. By comparing the results of the corrected SPH model, uncorrected SPH model and FEM analysis, it has been proved that the corrected SPH model with good agreement with the FEM simulation has a better performance than the uncorrected model, and this research can provide several insights for the application of SPH method in geotechnical engineering.
- smoothed particle hydrodynamics /
- tensile instability /
- water-soil coupling /
- normalized correction

HTML全文

参考文献(27)

[1]	黄雨, 郝亮, 野々山. SPH方法在岩土工程中的研究应用进展[J]. 岩土工程学报, 2008, 30(2): 256-262. (HUANG Yu, HAO Liang, NONOYAMA H.The state of the art of SPH method applied in geotechnical engineering[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(2): 256-262. (in Chinese))
[2]	MCDOUGALL S, HUNGR O.A model for the analysis of rapid landslide motion across three-dimensional terrain[J]. Canadian Geotechnical Journal, 2004, 41(6): 1084-1096.
[3]	HUANG Y, DAI Z L, ZHANG W J, et al.SPH-based numerical simulations of flow slides in municipal solid waste landfills[J]. Waste Management & Research, 2013, 31(3): 256-264.
[4]	HUANG Y, CHENG H L, DAI Z L, Et al. SPH-based numerical simulation of catastrophic debris flows after the 2008 Wenchuan earthquake[J]. Bulletin of Engineering Geology & the Environment, 2015, 74(4): 1-15.
[5]	HUANG Y, DAI Z L.Large deformation and failure simulations for geo-disasters using smoothed particle hydrodynamics method[J]. Engineering Geology, 2014, 168(1): 86-97.
[6]	DAI Z L, HUANG Y, CHENG H L, et al.3D numerical modeling using smoothed particle hydrodynamics of flow-like landslide propagation triggered by the 2008 Wenchuan earthquake[J]. Engineering Geology, 2014, 180: 21-33.
[7]	HU M, LIU M B, XIE M W, et al.Three-dimensional run-out analysis and prediction of flow-like landslides using smoothed particle hydrodynamics[J]. Environmental Earth Sciences, 2015, 73(4): 1629-1640.
[8]	PASTOR M, STICKLE M M, DUTTO P, et al.A viscoplastic approach to the behavior of fluidized geomaterials with application to fast landslides[J]. Continuum Mechanics & Thermodynamics, 2013, 27(1-2):1-27.
[9]	BUI H H, FUKAGAWA R, SAKO K, et al.Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model[J]. International Journal for Numerical & Analytical Methods in Geomechanics, 2008, 32(12): 1537-1570.
[10]	NONOYAMA H, MORIGUCHI S, SAWADA K, et al.Slope stability analysis using smoothed particle hydrodynamics (SPH) method[J]. Soils and Foundations, 2015, 55(2): 458-470.
[11]	PENG C, WU W, YU H S, et al.A SPH approach for large deformation analysis with hypoplastic constitutive model[J]. Acta Geotechnica, 2015, 10(6): 703-717.
[12]	ZHANG W J, MAEDA K. The model test and SPH simulations for slope and levee failure under heavy rainfall considering the coupling of soil, water and air[C]// Proceedings of the Conference of GeoShanghai2014, Shanghai, 2014(236): 538-547.
[13]	ZHANG W, MAEDA K.Numerical simulations of slope and levee failure under heavy rainfall using the three-phase SPH model[J]. Journal of Applied Mechanics JSCE A2, 2014, 70(2): 483-494.
[14]	HUANG Y, ZHANG W J, MAO W W, et al.Flow analysis of liquefied soils based on smoothed particle hydrodynamics[J]. Natural Hazards, 2011, 59(3): 1547-1560.
[15]	HUANG Y, ZHANG W J, DAI Z L, et al.Numerical simulation of flow processes in liquefied soils using a soil-water-coupled smoothed particle hydrodynamics method[J]. Natural Hazards, 2013, 69(1): 809-827.
[16]	VIGNJEVIC R, CAMPBELL J, LIBERSKY L.A treatment of zero-energy modes in the smoothed particle hydrodynamics method[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 184(1): 67-85.
[17]	HUANG Y, DAI Z, ZHANG W.Geo-disaster modeling and analysis: an SPH-based approach[M]. Berlin: Springer, 2014.
[18]	BIOT M A.General theory of three-dimensional consolidation[J]. Journal of Applied Physics, 1941, 12(2): 155-164.
[19]	MONAGHAN J J.Simulating free surface flows with SPH[J]. Journal of Computational Physics, 1994, 110(2): 399-406.
[20]	TAKEDA H, MIYAMA M, SEKIYA M.Numerical simulation of viscous flow by smoothed particles hydrodynamics[J]. Progress of Theoretical Physics, 1994, 92(5): 939-960.
[21]	LIU G R, LIU M B.Smoothed particle hydro-dynamics: a mesh-free particle method[M]. Singapore: World Scientific Press, 2003.
[22]	MORRIS J P, FOX P J, ZHU Y.Modeling low Reynolds number incompressible flows using SPH[J]. Journal of Computational Physics, 1997, 136(1): 214-226.
[23]	SWEGLE J W, HICKS D L, ATTAWAY S W.Smoothed Particle Hydrodynamics stability analysis[J]. Journal of Computational Physics, 1995, 116(1): 123-134.
[24]	JOHNSON G R, STRYK R A, BEISSEL S R.SPH for high velocity impact computations[J]. Computer Methods in Applied Mechanics & Engineering, 1996, 139(1/2/3/4): 347-373.
[25]	CHEN J K, BERAUN J E, CARNEY T C.A corrective smoothed particle method for boundary value problems in heat conduction[J]. International Journal for Numerical Methods in Engineering, 1999, 46(2): 231-252.
[26]	MARTIN J C, MOYCE W J, PART I V.An experimental study of the collapse of liquid columns on a rigid horizontal plane[J]. Philosophical Transactions of the Royal Society (Mathematical Physical & Engineering Sciences), 1952, 244(882): 312-324.
[27]	BAO Y F, YE G L, YE B, et al.Seismic evaluation of soil-foundation-superstructure system considering geometry and material nonlinearities of both soils and structures[J]. Soils and Foundations, 2012,52(2): 257-278.

施引文献(5)

期刊类型引用(4)

1.	唐小平，邓良平，汪建海，梁榆峰，江杰，叶耿昌. 排水管道土压力数值分析及非开挖修复内衬管壁厚优化. 给水排水. 2024(02): 139-145 . 百度学术
2.	张常光，吴凯，孟祥忠，王晓轮. 稳态渗流下非饱和土涵洞竖向土压力的迭代解与简化. 哈尔滨工业大学学报. 2024(03): 68-77 . 百度学术
3.	于金弘，伍鹤皋，石长征，孙海清，汪碧飞，李娇娜. 考虑管道自重荷载的埋地钢管结构计算方法. 长江科学院院报. 2024(05): 155-161 . 百度学术
4.	朱珍锋，韩高孝. 沟埋式管道垂直土压力模拟试验研究. 水利与建筑工程学报. 2024(03): 99-106 . 百度学术