CMES-Vol. 66, No. 3, 2010

Open Access

ARTICLE

Sequential Approximate Optimization Procedure based on Sample-reusable Moving Least Squares Meta-model and its Application to Design Optimizations
Jin Yeon Cho¹, Min Hwan Oh¹
CMES-Computer Modeling in Engineering & Sciences, Vol.66, No.3, pp. 187-214, 2010, DOI:10.3970/cmes.2010.066.187
Abstract In this work, a sample-reusable sequential approximate optimization (SAO) procedure is suggested. The suggested sequential approximate optimization procedure utilizes a newly proposed sample-reusable meta-model along with the trust region algorithm. Domain of design is sequentially updated to search for the optimal solution through the trust region algorithm, and the system response in the updated design region at each sequential stage is approximated by the proposed sample-reusable meta-model. The proposed sample-reusable meta-model is based on the moving least squares(MLS) approximation scheme. Thanks to the merits of moving least squares scheme, the proposed meta-model can fully utilize More >

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ARTICLE

Flow Simulations in a Liquid Ring Pump Using a Particle Method
K. Kakuda¹, Y. Ushiyama¹, S. Obara¹, J. Toyotani¹, S. Matsuda², H.Tanaka², K. Katagiri²
CMES-Computer Modeling in Engineering & Sciences, Vol.66, No.3, pp. 215-226, 2010, DOI:10.3970/cmes.2010.066.215
Abstract The application of the MPS (Moving Particle Semi-implicit) scheme to incompressible viscous fluid flow problem in the liquid ring vacuum pump with rotating impeller is presented. The rotating impeller in the pump is attached to a center hub and located in off-set from the center of a cylindrical body. For such flow problem there are some interesting phenomena including the formation of the liquid ring by rotating impeller, the interface dynamics between gas and liquid, and so forth. The MPS scheme is widely utilized as a particle strategy for the free surface flow, the problem More >

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A Time-Domain Meshless Local Petrov-Galerkin Formulation for the Dynamic Analysis of Nonlinear Porous Media
Delﬁm Soares Jr.¹
CMES-Computer Modeling in Engineering & Sciences, Vol.66, No.3, pp. 227-248, 2010, DOI:10.3970/cmes.2010.066.227
Abstract In this work, a meshless method based on the local Petrov-Galerkin approach is proposed for the solution of pore-dynamic problems considering elastic and elastoplastic materials. Formulations adopting the Heaviside step function as the test functions in the local weak form are considered. The moving least-square method is used for the approximation of physical quantities in the local integral equations. After spatial discretization is carried out, a nonlinear system of time-domain ordinary differential equations is obtained. This system is solved by Newmark/Newton-Raphson techniques. The present work is based on the u-p formulation and the incognita fields of More >

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ARTICLE

The Reproducing Kernel DMS-FEM: 3D Shape Functions and Applications to Linear Solid Mechanics
Sunilkumar N¹, D Roy^1,2
CMES-Computer Modeling in Engineering & Sciences, Vol.66, No.3, pp. 249-284, 2010, DOI:10.3970/cmes.2010.066.249
Abstract We propose a family of 3D versions of a smooth finite element method (Sunilkumar and Roy 2010), wherein the globally smooth shape functions are derivable through the condition of polynomial reproduction with the tetrahedral B-splines (DMS-splines) or tensor-product forms of triangular B-splines and 1D NURBS bases acting as the kernel functions. While the domain decomposition is accomplished through tetrahedral or triangular prism elements, an additional requirement here is an appropriate generation of knotclouds around the element vertices or corners. The possibility of sensitive dependence of numerical solutions to the placements of knotclouds is largely arrested… More >

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