CMES-Vol. 54, No. 1, 2009

Open Access

ARTICLE

Inverse Solution of a Chromatography Model by means of Evolutionary Computation
M. Irízar, L. D. Câmara, A. J. Silva Neto, O. Llanes
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.1, pp. 1-14, 2009, DOI:10.3970/cmes.2009.054.001
Abstract Modeling of Chromatography allows a better understanding and development of new techniques to be applied at industrial level, although it's relatively complex. The models of this process are represented by systems of partial differential equations with non linear parameters difficult to estimate generally, which constitutes an inverse problem. In general there aren't analytical solutions and therefore numerical methods should be used for their direct solutions. Frequently typical boundary conditions are considered, but it's convenient to study different approaches for those. Evolutionary Computation has been used successfully in many problems of diverse areas for searching in complex spaces. Considering previous works… More >

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Numerical Solution of Non-steady Flows, Around Surfaces in Spatially and Temporally Arbitrary Motions, by using the MLPG method
R. Avila¹, S. N. Atluri²
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.1, pp. 15-64, 2009, DOI:10.3970/cmes.2009.054.015
Abstract The Meshless Local Petrov Galerkin (MLPG) method is used to solve the non-steady two dimensional Navier-Stokes equations. Transient laminar flow field calculations have been carried out in domains wherein certain surfaces have: (i) a sliding motion, (ii) a harmonic motion, (iii) an undulatory movement, and (iv) a contraction-expansion movement. The weak form of the governing equations has been formulated in a Cartesian coordinate system and taking into account the primitive variables of the flow field. A fully implicit pressure correction approach, which requires at each time step an iterative process to solve in a sequential manner the equations which govern… More >

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Potential Problems by Singular Boundary Method Satisfying Moment Condition
Wen Chen^1,2, Zhuojia Fu¹, Xing Wei¹
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.1, pp. 65-86, 2009, DOI:10.3970/cmes.2009.054.065
Abstract This study investigates the singular boundary method (SBM), a novel boundary-type meshless method, in the numerical solution of potential problems. Our finding is that the SBM can not obtain the correct solution in some tested cases, in particular, in the cases whose solution includes a constant term. To remedy this drawback, this paper presents an improved SBM formulation which is a linear sum of the fundamental solution adding in a constant term. It is stressed that this SBM approximation with the additional constant term has to satisfy the so-called moment condition in order to guarantees the uniqueness of the solution.… More >

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Full-Field Analysis of a Functionally Graded Magnetoelectroelastic Nonhomogeneous Layered Half-Plane
Chien-Ching Ma^1,2, Jui-Mu Lee²
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.1, pp. 87-120, 2009, DOI:10.3970/cmes.2009.054.087
Abstract In this study, the two-dimensional problem of elastic, electric, and magnetic fields induced by generalized line forces and screw dislocations applied in a functionally graded magnetoelectroelastic layered half-plane is analyzed. It is assumed that the material properties vary exponentially along the thickness direction. The full-field solutions for the transversely isotropic magnetoelectroelastic nonhomogeneous layered half-plane are obtained using the Fourier-transform technique. For the case that material properties are continuous at the interface, it is shown that all magnetoelectroelastic fields are continuous at the interface. Furthermore, this functionally graded layered half-plane has the identical contour slopes for the generalized stress \pmbsy(j)across the… More >

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