A mixed finite element method for Hele-Shaw cell equations     

J. M. Guevara-Jordan  J. Glimm 《Computational Geosciences》1997,1(1):35-58

A new numerical method to solve the system of equations describing two phase flow in a Hele-Shaw cell is presented. It combines a mixed finite element method, the method of subtraction of the singularity and a front tracking grid in a single computational strategy. This choice of discretization techniques is well motivated by the difficulties present in the system of equations and the physics of the problem. The new method was tested against analytical solutions and also by solving the Saffman–Taylor viscous fingering problem for finite and infinite mobility ratios. In both cases convergence under mesh refinement is achieved for the fingers developed from an initial sinusoidal interface. Finger splitting is observed for low values of the surface tension and high mobility ratio. Different explanations, based in our results, are provided for this phenomenon. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Stable axisymmetric SPH formulation with no axis singularity          下载免费PDF全文

Jian Wang  Dave Chan  Jiahe Zhang 《国际地质力学数值与分析法杂志》2016,40(7):987-1006

The axisymmetric formulation of the governing equations for geomechanics in the framework of smoothed particle hydrodynamics (SPH) is presented in this study. Two forms of SPH discretization for the motion equations, which are labeled as form I and form II, are proposed, and the methods to compute the hoop stress and strain terms including hoop strain rate and the acceleration introduced by the hoop stress are compared. To avoid possible singularity problem near the axis of symmetry, a perfectly smooth contact along with ghost particles are applied to prevent the real particles from overly approaching the axis of symmetry to remove this potential singularity. In addition, the Mohr–Coulomb constitutive model is implemented into the SPH formulation in describing soil behavior. Four numerical tests are carried out to validate and compare the accuracy and stability of the proposed algorithms, and their results are compared with analytical solutions and results from FEM analysis. The performance in these comparisons suggests that SPH II with hoop terms computed through direct hoop method is more stable than the others, and the adoption of contact for the symmetric axis is efficient in eliminating the singularity problem. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

岩石圈中水的临界奇异性——大规模成矿的根源     

胡宝群  王倩  王运  邱林飞  吕古贤  孙占学 《地质论评》2016,62(S1):307-308

水的临界奇异性是岩石圈中许多重大地质作用的关键和枢纽,有独特的地质意义、超乎常识。水在临界点发生二级相变,许多物理化学性质奇异性突变,特别是溶解行为和热压的突变,对成矿作用影响极大。  相似文献   

普朗斑岩型铜矿床成矿元素多重分形特征及其矿化强度指示     

万丽  刘慧  曾祥健 《吉林大学学报(地球科学版)》2021,51(4):1054-1063

成矿元素品位的变化受控于长期地质作用过程,具有较强的非线性特征,定量刻画其变化特征有助于深入理解成矿过程,并为找矿预测提供理论依据。运用多重分形去趋势移动均值（MFDMA） 法,分析云南普朗斑岩型铜矿床4号勘探线钻孔Cu元素品位的多重分形特征及其对矿化强度的指示意义。结果显示：所有钻孔Cu元素品位具有多重分形特征,且不同矿化等级的元素分布存在局部奇异性差异,多重分形强度随矿化强度等级减弱而增加;这些特征指示在钾硅化带—带内侧强矿化钻孔的高品位相对聚集,而带外侧角岩化—青磐岩化带的高品位相对分散;通过数据随机重排技术推测Cu品位多重分形结构奇异性差异是由其分布概率密度和长相关性共同作用引起,后者的作用贡献大于前者。  相似文献   

The singularity mystery associated with a radially continuous Maxwell viscoelastic structure     

Ming Fang  Bradford H. Hager 《Geophysical Journal International》1995,123(3):849-865

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用切贝谢夫配点法消除地球自振常微分方程组在地心处的奇异性     

郭俊义  张飞鹏 《武汉大学学报(信息科学版)》1996,(4)

用切贝谢夫配点法求解地球自振常微分方程组，无需进一步改化即可消除这组方程在地心处的奇异性，并能获得高精度的结果  相似文献   

探地雷达信号特征分析和分辨率提高方法研究   总被引：3，自引：0，他引：3  

王牧男  曾昭发  黄玲  姚健 《吉林大学学报(地球科学版)》2007,(Z1)

探地雷达信号的奇异点或突变点作为雷达信号的重要特征通常反映介质重要信息,如电性变化界面或异常体等。分析了探地雷达信号在Hilbert变换下,利用小波变换确定探地雷达信号奇异点位置的方法。解决了传统傅立叶变换只能从整体检测探地雷达信号奇异性的局限性。并且由于小波变换良好的时频局部化特性,进一步讨论了其在提高探地雷达信号分辨率的研究中的应用。  相似文献   

线性方程组迭代解的随机模型测试研究   总被引：5，自引：1，他引：4  

曹俊兴  聂在平 《物探化探计算技术》1998,20(2):120-124

本文讨论大型线性方程组迭代解的随机模型测试评价问题。给出了常用迭代解法ＣＧ、ＬＳＱＲ、ＳＩＲＴ、ＳＡＲＴ、ＳＡＳＩＲＴ等的测试结果。结果表明：（１）方程组系数矩阵的特性（条件数）及解结构都对解精度有重要影响。解模型越粗糙,解的精度越低。（２）各种求解算法都有一定的平滑效应,同时各种算法也都会产生误差大于２００％的奇异解,奇异解元素数一般约占１０％。（３）数据的拟合残差一般不能真实反映解的精度。（４）对含误差数据的求解问题,较好的求解算法是ＤＬＳＱＲ与ＳＡＳＩＲＴ。  相似文献   

重力场中的大地奇异性问题     

王东明  朱灼文 《武汉大学学报(信息科学版)》1999,(2)

研究了大地奇异性对大地测量的影响及重力场在大地奇点附近的结构,揭示了奇异性的本质。  相似文献   

水下运动物体间相互作用力的计算探讨   总被引：3，自引：0，他引：3  

曾一非  朱继懋 《海洋工程》1994,(2)

本文首先用体内奇点分布法建立了水下多个运动回转体的数学模型,基此提出了一种新的计算多物体相互作用力的方法──等价拓展体法,达到考虑粘性、简化边界层计算的目的。以上方法都以两个运动回转体为例作了数值计算与比较。  相似文献