CMES-Vol. 31, No. 3, 2008

Open Access

ARTICLE

Discrete Constitutive Equations over Hexahedral Grids for Eddy-current Problems
L. Codecasa¹, R. Specogna², F. Trevisan³
CMES-Computer Modeling in Engineering & Sciences, Vol.31, No.3, pp. 129-144, 2008, DOI:10.3970/cmes.2008.031.129
Abstract In the paper we introduce a methodology to construct discrete constitutive matrices relating magnetic fluxes with magneto motive forces (reluctance matrix) and electro motive forces with currents (conductance matrix) needed for discretizing eddy current problems over hexahedral primal grids by means of the Finite Integration Technique (FIT) and the Cell Method (CM). We prove that, unlike the mass matrices of Finite Elements, the proposed matrices ensure both the stability and the consistency of the discrete equations introduced in FIT and CM. More >

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ARTICLE

A Meshless Local Natural Neighbour Interpolation Method Applied to Structural Dynamic Analysis
Y. H. Liu^1,2, S. S. Chen¹, J. Li¹, Z. Z. Cen¹
CMES-Computer Modeling in Engineering & Sciences, Vol.31, No.3, pp. 145-156, 2008, DOI:10.3970/cmes.2008.031.145
Abstract A novel meshless method for structural dynamic analysis is presented and discussed in this paper. It is called meshless local natural neighbour interpolation (MLNNI) method, which uses a meshless spatial approximation based only on nodes. The MLNNI is derived from the generalized meshless local Petrov-Galerkin (MLPG) method as a special case. Local weak forms are developed using weighted residual method locally from the dynamic partial differential equation. In the construction of trial functions, the natural neighbour interpolation (NNI) is employed to simplify the treatment of the essential boundary conditions. The domain integration is evaluated over More >

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A Meshless Approach to Capturing Moving Interfaces in Passive Transport Problems
L. Mai-Cao¹, T. Tran-Cong²
CMES-Computer Modeling in Engineering & Sciences, Vol.31, No.3, pp. 157-188, 2008, DOI:10.3970/cmes.2008.031.157
Abstract This paper presents a new meshless numerical approach to solving a special class of moving interface problems known as the passive transport where an ambient flow characterized by its velocity field causes the interfaces to move and deform without any influences back on the flow. In the present approach, the moving interface is captured by the level set method at all time as the zero contour of a smooth function known as the level set function whereas one of the two new meshless schemes, namely the SL-IRBFN based on the semi-Lagrangian method and the Taylor-IRBFN More >

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ARTICLE

A Simplified Meshless Method for Dynamic Crack Growth
Y.Y Zhang, L. Chen
CMES-Computer Modeling in Engineering & Sciences, Vol.31, No.3, pp. 189-200, 2008, DOI:10.3970/cmes.2008.031.189
Abstract A simplified meshless method for dynamic crack growth is presented. The method uses an extrinsic enrichment based on a local partition of unity concept. The crack is represented by a set of crack segments. The crack segments are required to pass through the entire domain of influence of node. They are introduced when the maximum principal stress exceeds the uniaxial tensile strength. The crack segments are allowed to rotate in order to avoid too stiff system responses. The major advantage of our method is that it does not require algorithms to track the crack path. More >

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