CMES-Vol. 91, No. 5, 2013

Open Access

ARTICLE

Iterative coupling between the TBEM and the MFS Part II - Elastic wave propagation
Julieta António¹, António Tadeu^1,2, Patrícia Ferreira³
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.5, pp. 337-354, 2013, DOI:10.3970/cmes.2013.091.337
Abstract The first of these two companion papers addressed the iterative coupling between a formulation based on the normal derivative of the integral equation (TBEM) and the method of fundamental solutions (MFS), which was used to solve scattering problems involving the propagation of acoustic waves in the vicinity of multiple thin barriers and domes. This second part extends these results to the more complicated case of in-plane wave propagation and presents their application to scattering problems involving SV-P waves. The formulation is first presented and verified by computing the number of iterations required and measuring the More >

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ARTICLE

Dam-break model with Characteristic-Based Operator-Splitting Finite Element Method
Da-guo Wang^1,2, Leslie-George Tham², Qing-xiang Shui¹
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.5, pp. 355-376, 2013, DOI:10.3970/cmes.2013.091.355
Abstract A finite element method, which is the characteristic-based operatorsplitting (CBOS) algorithm, is adopted to solve unsteady incompressible Navier- Stokes (N-S) equations. In each time step, the equations are split into the diffusive part and the convective part. The convective part is discretized using the characteristic Galerkin method and solved explicitly. The moving interface is captured by the pseudo-concentration method, thus, a new dam-break model is established. Through the validation of a dam-break onto a downstream dry bed or wet bed, it is shown that the present model can accurately simulate the moving interface flows. We More >

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Local strong form meshless method on multiple Graphics Processing Units
G. Kosec^1,2, P. Zinterhof³
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.5, pp. 377-396, 2013, DOI:10.3970/cmes.2013.091.377
Abstract This paper deals with the implementation of the local meshless numerical method (LMM) on general purpose graphics processing units (GPU) in solving partial differential equations (PDE). The local meshless solution procedure is formulated in a way suitable for parallel execution and has been implemented on multiple GPUs. The implementation is tested on a solution of diffusion equation in a 2D domain. Different setups of the meshless approach regarding the selection of basis functions are tested on an interval up to 2.5 million of computational points. It is shown that monomials are a good selection of More >

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Electrostatic potential in a bent flexoelectric semiconductive nanowire
Ying Xu¹, Shuling Hu¹, Shengping Shen¹
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.5, pp. 397-408, 2013, DOI:10.3970/cmes.2013.091.397
Abstract Flexoelectricity presents a strong size effect, and should not be ignored for nanodevices. In this paper, the flexoelectric effect is taken into account to investigate the electrostatic potential distribution in a bent flexoelectric semiconductive nanowire, and the numerical solution is obtained by using the finite difference method. The effect of donor concentration on the electrostatic potential are also investigated. The results show that, the flexoelectricity increases the value of the voltage on the cross section. The flexoelectric effect is varied with the size, i.e. when the radius of the nanowire is small the flexoelectric effect More >

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