CMES-Vol. 109-110, No. 6, 2015

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 More >

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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 More >

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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 >

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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 More >

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