CMES-Vol. 62, No. 2, 2010

Open Access

ARTICLE

Meshless Local Petrov-Galerkin Simulation of Buoyancy-Driven Fluid Flow and Heat Transfer in a Cavity with Wavy Side Walls
A. Arefmanesh¹, M. Najaﬁ², M. Nikfar³
CMES-Computer Modeling in Engineering & Sciences, Vol.62, No.2, pp. 113-149, 2010, DOI:10.3970/cmes.2010.062.113
Abstract As some new applications of the meshless local Petrov-Galerkin method (MLPG) with unity as the test function, a number of buoyancy-driven fluid flow natural convection heat transfer problems in cavities with differentially-heated wavy side walls were analyzed. Cavities with a single wavy wall on one side as well as two wavy walls erected on both sides were considered. For the cases of the double wavy walls, two different configurations in terms of the two walls facing each other on the two sides of the cavities symmetrically or non-symmetrically were investigated. All the simulations performed in… More >

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Concurrent Atomistic/Continuum Simulation of Thermo-Mechanical Coupling Phenomena
Xianqiao Wang¹, James D. Lee¹
CMES-Computer Modeling in Engineering & Sciences, Vol.62, No.2, pp. 150-170, 2010, DOI:10.3970/cmes.2010.062.150
Abstract The concurrent methods for coupling molecular dynamics with continuum thermodynamics offer a myriad of challenging problems, mostly related with energy transmission, wave reflection, and damage propagation at the interfaces between the continuum description and the discrete description. In this work, by virtue of the atomistic field theory (AFT), we present an analysis to reconcile the compatibility between atomic region and continuum region and to calculate the matching temperature field of a heat conduction problem in a concurrent atomistic/continuum system. First, formulation of AFT with finite temperature and its corresponding finite element implementation are briefly introduced. More >

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RKPM with Augmented Corrected Collocation Method for Treatment of Material Discontinuities
H.M. Shodja^1,2,3, M. Khezri⁴, A. Hashemian¹, A. Behzadan¹
CMES-Computer Modeling in Engineering & Sciences, Vol.62, No.2, pp. 171-204, 2010, DOI:10.3970/cmes.2010.062.171
Abstract An accurate numerical methodology for capturing the field quantities across the interfaces between material discontinuities, in the context of reproducing kernel particle method (RKPM), is of particular interest. For this purpose the innovative numerical technique, so-called augmented corrected collocation method is introduced; this technique is an extension of the corrected collocation method used for imposing essential boundary conditions (EBCs). The robustness of this methodology is shown by utilizing it to solve two benchmark problems of material discontinuities, namely the problem of circular inhomogeneity with uniform radial eigenstrain, and the problem of interaction between a crack More >

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A Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method
M. Ferronato¹, A. Mazzia¹, G. Pini¹
CMES-Computer Modeling in Engineering & Sciences, Vol.62, No.2, pp. 205-224, 2010, DOI:10.3970/cmes.2010.062.205
Abstract In the engineering practice meshing and re-meshing complex domains by Finite Elements (FE) is one of the most time-consuming efforts. Meshless methods avoid this task but are computationally more expensive than standard FE. A somewhat natural improvement can be attempted by combining the two techniques with the aim at emphasizing the respective merits. The present work describes a FE enrichment by the Meshless Local Petrov-Galerkin (MLPG) method. The basic idea is to add a limited number of moving MLPG points over a fixed coarse FE grid, in order to improve the solution accuracy in specific More >

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