An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system

被引：64
|
作者：
Wu, S. C. [1 ,2 ]
Liu, G. R. [2 ,3 ]
Cui, X. Y. [2 ,4 ]
Nguyen, T. T. [3 ]
Zhang, G. Y. [3 ]
机构：
[1] Hefei Univ Technol, Sch Mat Sci & Engn, Ctr Adv Mat Joining & Simulat AMJS, Hefei 230009, Peoples R China
[2] Natl Univ Singapore, Dept Mech Engn, Ctr Adv Computat Engn Sci ACES, Singapore 117576, Singapore
[3] Singapore MIT Alliance SMA, Singapore 117576, Singapore
[4] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2010年 / 53卷 / 9-10期
关键词：
Numerical methods; Meshfree method; Transient heat transfer; Gradient smoothing; Point interpolation method; Rapid plasma deposition dieless manufacturing; FINITE-ELEMENT-METHOD; METHOD LC-PIM; METHOD NS-PIM; SOLID MECHANICS; NODAL INTEGRATION; G SPACE; FORMULATION; PROPERTY; FEM;
D O I：
10.1016/j.ijheatmasstransfer.2009.12.062
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
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. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1938 / 1950
页数：13
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