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Title: An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system
Authors: Wu, S.C.
Liu, G.R. 
Cui, X.Y.
Nguyen, T.T.
Zhang, G.Y.
Keywords: Gradient smoothing
Meshfree method
Numerical methods
Point interpolation method
Rapid plasma deposition dieless manufacturing
Transient heat transfer
Issue Date: Apr-2010
Citation: Wu, S.C., Liu, G.R., Cui, X.Y., Nguyen, T.T., Zhang, G.Y. (2010-04). An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system. International Journal of Heat and Mass Transfer 53 (9-10) : 1938-1950. ScholarBank@NUS Repository.
Abstract: This paper formulates an edge-based smoothed point interpolation method (ES-PIM) for analyzing 2D and 3D transient heat transfer problems with mixed boundary conditions and complicated geometries. In the ES-PIM, shape functions are constructed using the polynomial PIM with the Delta function property for easy treatment of essential boundary conditions. A generalized smoothing technique is used to reconstruct the temperature gradient field within the edge-based smoothing domains. The generalized smoothed Galerkin weak form is then used to establish the discretized system equations. Our results show that the ES-PIM can provide more close-to-exact stiffness compared with the "overly-stiff" finite element method (FEM) and the "overly-soft" node-based smoothed point interpolation method (NS-PIM). Owing to this important property, the present ES-PIM provides more accurate solutions than standard FEM using the same mesh. As an example, a practical cooling system of the rapid direct plasma deposition dieless manufacturing is studied in detail using the present ES-PIM, and a set of "optional" processing parameters of fluid velocity and temperature are found. © 2009 Elsevier Ltd. All rights reserved.
Source Title: International Journal of Heat and Mass Transfer
ISSN: 00179310
DOI: 10.1016/j.ijheatmasstransfer.2009.12.062
Appears in Collections:Staff Publications

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