Special lssues
Table of Content
• Open Access

ARTICLE

Homotopy Method for Parameter Determination of Solute Transport with Fractional Advection-dispersion Equation

Hui Wei1,2,3, Wen Chen1,2,4, HongGuang Sun1,2
CMES-Computer Modeling in Engineering & Sciences, Vol.100, No.2, pp. 85-103, 2014, DOI:10.3970/cmes.2014.100.085
Abstract The unknown parameters are critical factors in fractional derivative advection-dispersion equation describing the solute transport in soil. For examples, the fractional derivative order is the index of anomalous dispersion, diffusion coefficient represents the dispersion ability of media and average pore-water velocity denotes the main trend of transport, etc. This paper is to develop a homotopy method to determine the unknown parameters of solute transport with spatial fractional derivative advection-dispersion equation in soil. The homotopy method can be easily developed to solve parameter determination problems of fractional derivative equations whose analytical solutions are difficult to obtain. The sigmoid function is involved… More >

• Open Access

ARTICLE

Boundary Element Analysis of Shear Deformable Shallow Shells Under Harmonic Excitation

J. Useche1
CMES-Computer Modeling in Engineering & Sciences, Vol.100, No.2, pp. 105-118, 2014, DOI:10.3970/cmes.2014.100.105
Abstract In this work, the harmonic analysis of shallow shells using the Boundary Element Method, is presented. The proposed boundary element formulation is based on a direct time-domain integration using the elastostatic fundamental solutions for both in-plane elasticity and shear deformable plates. Shallow shell was modeled coupling boundary element formulation of shear deformable plate and two-dimensional plane stress elasticity. Effects of shear deformation and rotatory inertia were included in the formulation. Domain integrals related to inertial terms were treated using the Dual Reciprocity Boundary Element Method. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed formulation. More >

• Open Access

ARTICLE

On the First-principles Density Functional Theory Calculation of Electromigration Resistance Ability for Sn-based Intermetallic Compounds

Wen-Hwa Chen1,2, Ching-Feng Yu1, Hsien-Chie Cheng2,3
CMES-Computer Modeling in Engineering & Sciences, Vol.100, No.2, pp. 119-131, 2014, DOI:10.3970/cmes.2014.100.119
Abstract The aim of the study is to investigate the interactions between Sn adatoms in a solder bump and three typical Sn-based intermetallic compounds (IMCs) surface, i.e., Cu3Sn, Cu6Sn5, and Ni3Sn4, at the atomistic scale. The adsorption energy, average bond length, and bond population of the Sn/Cu3Sn, Sn/Cu6Sn5,and Sn/Ni3Sn4 systems are calculated through the first-principles density functional theory (DFT) calculation to investigate how the Sn adatoms influence the IMC surface. The calculated results show that the Sn atoms on the Cu3Sn (0 0 1) surface hold the largest adsorption energy, average bond length and bond population, implying that the Cu3Sn (0… More >

• Open Access

ARTICLE

Analytical Solution of Stokes Flow in a Driven Cavity Using the Natural Boundary Element Method

Peng Weihong1,2, Gao Feng1, Cao Guohua3, Xu Yong2, Cheng Hongmei1
CMES-Computer Modeling in Engineering & Sciences, Vol.100, No.2, pp. 133-155, 2014, DOI:10.3970/cmes.2014.100.133
Abstract In this paper, the natural boundary element method is used to solve two-dimensional steady-state incompressible Stokes flows in a driven cavity. The analytical functions are expressed for the Stokes problem in an exterior circular domain under single value conditions, which satisfy the Stokes equations’ solutions in the form of complex functions. In order to obtain a uniform integral formula, the velocities on the boundary are expanded into Laurent series, and then compared with the analytical solutions obtained as described above. In this manner, the coefficients of the analytical solutions in the form of complex function are further confirmed. According to… More >   