Home / Journals / CMES / Vol.109-110, No.6, 2015
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  • Open Access

    ARTICLE

    Buckley-Leverett Analysis for Transient Two-phase Flow in Fractal Porous Medium

    Yonggang Duan1, Ting Lu1, Mingqiang Wei1, Boming Yu2, Zhelun Zhang1
    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 481-504, 2015, DOI:10.3970/cmes.2015.109.481
    Abstract Analysis of Buckley-Leverett solution in fractal porous medium does prediction of water saturation profile a favor. On the approximation that porous medium consists of a bundle of tortuous capillaries, a physical conceptual Buckley- Leverett model of transient two-phase flow in fractal porous medium is developed based on the fractal characteristics of pore size distribution. The relationship between water saturation and distance is presented according to Buckley-Leverett solution, and the proposed Buckley-Leverett expression is the function of fractal structural parameters (such as pore fractal dimension, tortuosity fractal dimension, maximum and minimum diameters of capillaries) and fluid properties (such as viscosity, contact… More >

  • Open Access

    ARTICLE

    A Note on Solving the Generalized Dirichlet to Neumann Map on Irregular Polygons using Generic Factored Approximate Sparse Inverses

    E-N.G. Grylonakis1, C.K. Filelis-Papadopoulos1, G.A. Gravvanis1
    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 505-517, 2015, DOI:10.3970/cmes.2015.109.505
    Abstract A new transform method for solving boundary value problems in two dimensions was proposed by A.S. Fokas, namely the unified transform. This approach seeks a solution to the unknown boundary values by solving a global relation, using the known boundary data. This relation can be used to characterize the Dirichlet to Neumann map. For the numerical solution of the global relation, a collocation-type method was recently introduced. Hence, the considered method is used for solving the 2D Laplace equation in several irregular convex polygons. The linear system, resulting from the collocation-type method, was solved by the Explicit Preconditioned Generalized Minimum… More >

  • Open Access

    ARTICLE

    On Collision Local Time of Two Independent Subfractional Brownian Motions

    Jingjun Guo1, Yanping Xiao2
    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 519-536, 2015, DOI:10.3970/cmes.2015.109.519
    Abstract We study the existence of collision local time of two independent subfractional Brownian motions with different coefficients in (-1/2,1/2) using an alternative expression. We prove that the collision local time is a Hida distribution based on the canonical framework of white noise analysis, and get chaos expansions. Finally, we show that the collision local time exists in (L2) under appropriate conditions. More >

  • Open Access

    ARTICLE

    The Study of Thermal Stresses of a Two Phase FGM Hollow Sphere

    Baoyu Ma1, Guansuo Dui1, Shengyou Yang2, Libiao Xin1
    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 537-554, 2015, DOI:10.3970/cmes.2015.109.537
    Abstract This article focuses on the analytical solution for uniform heating of a FGM hollow sphere made of two phase of different materials. It is assumed that the volume fraction of one phase is a function f1=(rn-an)/(bn-an) varied in the radial direction. Based on the Voigt constant strain approximation, analytical solutions of stresses, displacements and the effective coefficient of thermal expansion are obtained. The effects of the volume fraction, Poisson’s ratio, Young’s moduli and coefficients of thermal expansion on the solutions are studied. Two special cases, constant elastic modulus and constant coefficient of thermal expansion, are finally discussed. More >

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