CMES-Vol. 72, No. 4, 2011

Open Access

ARTICLE

Material Point Method with RBF Interpolation
Htike Htike¹, Wen Chen¹, Yan Gu¹, Junjie Yang¹
CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.4, pp. 247-272, 2011, DOI:10.3970/cmes.2011.072.247
Abstract This paper makes the first attempt to employ the Radial Basis Function (RBF) interpolation in the material point method (MPM), in which the shape function is based on RBF and polynomial function and satisfies the partition of unity and possesses Delta-function property. It is worthy of stressing that the RBF interpolation has the merit of high smoothness and is very accurate and can easily be applied to the MPM framework for mapping information between moving particles, known as material point in the MPM, and background grids. The RBF-based MPM is designed to overcome the unphysical More >

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ARTICLE

A Nonlinear Dynamic Model for Periodic Motion of Slender Threadline Structures
Jinling Long^1,2, Bingang Xu^1,3, Xiaoming Tao¹
CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.4, pp. 273-298, 2011, DOI:10.3970/cmes.2011.072.273
Abstract Moving slender threadline structures are widely used in various engineering fields. The dynamics of these systems is sometimes time dependent but in most cases follows a periodic pattern, and slender yarn motion in textile engineering is a typical problem of this category. In the present paper, we propose a nonlinear approach to model the dynamic behavior of slender threadline structures with a real example in the analysis of slender yarn motion in spinning. Moving boundary conditions of yarn are derived and a consequence of the perturbation analysis for the dimensionless governing equations provides the zero More >

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ARTICLE

A C²-Continuous Control-Volume Technique Based on Cartesian Grids and Two-Node Integrated-RBF Elements for Second-Order Elliptic Problems
D.-A. An-Vo¹, N. Mai-Duy¹, T. Tran-Cong¹
CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.4, pp. 299-336, 2011, DOI:10.3970/cmes.2011.072.299
Abstract This paper presents a new control-volume discretisation method, based on Cartesian grids and integrated-radial-basis-function elements (IRBFEs), for the solution of second-order elliptic problems in one and two dimensions. The governing equation is discretised by means of the control-volume formulation and the division of the problem domain into non-overlapping control volumes is based on a Cartesian grid. Salient features of the present method include (i) an element is defined by two adjacent nodes on a grid line, (ii) the IRBF approximations on each element are constructed using only two RBF centres (a smallest RBF set) associated… More >

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ARTICLE

Calculation of a Deformable Membrane Airfoil in Hovering Flight
D.M.S. Albuquerque¹, J.M.C. Pereira¹, J.C.F. Pereira^1,2
CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.4, pp. 337-366, 2011, DOI:10.3970/cmes.2011.072.337
Abstract A numerical study of fluid-structure interaction is presented for the analysis of viscous flow over a resonant membrane airfoil in hovering flight. A flexible membrane moving with a prescribed stroke period was naturally excited to enter into 1st, 2nd and 3rd mode of vibration according to the selected membrane tension. The Navier-Stokes equations were discretized on a moving body unstructured grid using the finite volume method. The instantaneous membrane position was predicted by the 1D unsteady membrane equation with input from the acting fluid flow forces. Following initial validation against reported rigid airfoils predictions, the… More >

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