A comprehensive study on the parameters setting in smoothed particle hydrodynamics (SPH) method applied to hydrodynamics problems

Smoothed particle hydrodynamics (SPH) is a meshfree, Lagrangian particle method which has advantages in handling solids with extremely large deformation. Like any other numerical methods, cares must be taken to ensure its desirable accuracy and stability through considering several correction techniques in calculation. The selection of values for parameters in those correction approaches is a key step in SPH simulation, which is always difficult for new beginners to deal well with effectively. This paper examines the common inconsistency and instability problems in SPH method and studies its computational efficiency when applied to hydrodynamics problems with material strength like soil column collapse. We analyzed in detail how the correction techniques mitigate these inconsistency and instability problems. Also, the numerical testing results associate with different values for the parameters used in the correction techniques are provided for better understanding the influence of these parameters and for finding out the desirable values. It is found that (1) the SPH method is easily subjected to an inconsistency problem in the boundary area due to the boundary deficiency, and it can be treated well by adopting “virtual particles” contributing to the particle summations. (2) The numerical oscillation in SPH simulation can be mitigated effectively by artificial viscosity with the suggested parameter values. (3) The tension cracking treatment, artificial viscosity and artificial stress work well in removing the tensile instability problem in SPH method. In addition, the nearest neighboring particle searching (NNPS) algorithm, spacing ratio, smoothing length and time step influence the efficiency and accuracy of SPH method significantly. It is shown that SPH method with suggested parameters values can produce a very good result compared with the experimental result.     

出渗对均匀大粒径泥沙附近水动力特性影响

为探讨出渗对均匀大粒径泥沙颗粒周围水流特性的影响,基于粒子图像测速技术（PIV）对出渗影响下的均匀大粒径泥沙颗粒群周围水流结构进行测量,并对不同出渗强度下颗粒群周围立面二维流场结构进行了分析。试验结果表明:出渗能够减小颗粒群周围原水流运动方向的流速,而增大垂直向上的流速,且两者均随着出渗强度的增强而对流速的影响愈加明显;根据实测数据,拟合出考虑出渗影响下的均匀大粒径泥沙周围纵向流速分布公式,相关性较好;出渗能增强颗粒群附近的紊动强度,加剧周围水体的能量耗散;随着出渗强度的增强,颗粒群周围的涡量值随之减小。     

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石灰岩细观力学特性的颗粒流模拟

岩体地区地质灾害的发生和发展取决于岩石细观组分的运动学行为。研究岩石运动学行为时通常将岩石作为整体研究对象较多,而直接以细观组分为对象的研究较少。以石灰岩为例,根据室内试验获得的岩石力学性质指标,使用基于非连续介质理论的颗粒流方法,将材料离散成刚性颗粒组成的模型,把颗粒细观变化与宏观力学特性联系起来,建立了石灰岩的细观结构模型,获得了颗粒接触力、颗粒接触模量、接触连接强度和连接刚度比等细观力学参数。由于文中直接以细观成分为研究对象、反映了岩石和岩体组成的本质特点,所得结论不仅对含裂隙岩石本构关系研究具有广阔的应用前景,而且对岩体工程性质和地质灾害机制研究也具有重要的理论意义。     

巨粒土大型三轴试验研究

通过大型三轴试验,对巨粒土在低围压下的应力-应变特性、抗剪强度特性以及水对强度和变形的影响进行了分析。结果表明：在较低围压情况下,应力-应变曲线表现为弱应变软化型或应变硬化型,其形态主要决定于围压的大小,而其体变特征首先表现出体积收缩,随着轴向应变的增加,逐渐转为体积膨胀,随着围压的增大,剪胀逐渐减弱并过渡到完全体缩,但体缩率逐渐减小直至趋于稳定;巨粒土的抗剪强度随着应力水平的变化,表现出非线性特性,一般随着围压增大,强度参数 降低;水对巨粒土的压缩特性和剪切特性有重要影响,主要表现为压缩系数增大,抗剪强度降低。     

砂土中单桩静载室内模型试验及颗粒流数值模拟

通过自行设计的可视化模型箱,进行了单桩静载室内模型试验,考虑了不同桩径、不同土体密实度等影响因素,研究了单桩的沉降模式、桩侧摩阻力和桩端阻力的发挥性状及随沉降的发展模式,并通过拍摄跟踪和图像处理技术,研究了桩端和桩周土体的孔隙率的变化规律;对二维颗粒流程序进行开发,模拟了单桩静载过程中桩端阻力和桩周土体孔隙率的变化情况。结果表明,颗粒流数值模拟能够较好地模拟单桩静载过程,研究成果进一步揭示了单桩静载过程的宏细观机制。     

土石混合料大型直剪试验的颗粒离散元细观力学模拟研究

土石混合料作为一种特殊的岩土介质越来越受到国内外众多研究者的重视。基于3维颗粒离散元PFC3D,建立了土石混合料直剪试验模型,进行了不同含石量、不同岩性的土石混合料直剪试验模拟研究。颗粒离散元模拟结果表明,土石混合料的石料岩性和含石量在很大程度上控制了土石混合料的抗剪强度特性。硬岩混合料的摩擦角普遍比软岩混合料大6°～ 7°,含石量为60%～80%时达到最大。土石混合料的剪切面不再是一个平面,其起伏度随含石量增加而增大。剪切过程中软岩混合料在低正应力下表现为剪胀,高正应力下表现为剪缩,并产生软化现象,硬岩混合料表现为剪胀和塑性;软岩土石混合料剪切过程中能量以应变能和动能为主,而硬岩土石混合料的能量以摩擦能和动能为主。     

Velocity profiles and incipient motion of frazil particles under ice cover

A series of experiments for the incipient motion of frazil particles under ice cover have been carried out in laboratory under different flow and boundary conditions.Measurements on flow velocities across the measuring cross-section at different water depths have been conducted.Based on these experiments under both ice-covered and open flow conditions,the impacts of solid boundary(such as ice cover and flume sidewall) on the distribution of flow velocity profiles have been discussed.The criteria for the inc...     

基于粒子群算法与混合罚函数法的有限元优化反演模型及应用

岩土工程优化反分析是一个典型的复杂非线性函数优化问题,采用全局优化算法是解决这个问题的理想途径。针对常规反演方法应用于岩土工程参数反演时搜索效率低的缺点,结合粒子群算法和遗传算法的特点,充分考虑二者的互补性,提出一种效率较高的全局优化算法,以测点的实测值与计算值建立一种新的评价函数,将多目标优化问题转化为单目标优化问题,用混合罚函数法将约束问题变为无约束问题,构建了一种新的目标函数,将有限元程序ABAQUS作为一个模块嵌入到优化算法程序中,编制了有限元优化反演分析程序。并给出了应用实例验证了该法的有效性和实用性,是一种可行的参数反演方法,可应用于实际工程中复杂岩土介质初始应力场反演、渗流场以及位移反分析