期刊
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
卷 53, 期 9-10, 页码 1938-1950出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2009.12.062
关键词
Numerical methods; Meshfree method; Transient heat transfer; Gradient smoothing; Point interpolation method; Rapid plasma deposition dieless manufacturing
资金
- A*Star, Singapore
- Science Fund Program of the State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body
- Singapore-MIT Alliance (SMA)
- National University of Singapore
- [GDBJ2009-025]
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.
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