American Society of Civil Engineers

ES-PIM with Cell Death and Birth Technique for Simulating Heat Transfer in Concrete Dam Construction Process

by Jing Cheng, Ph.D., (corresponding author), (Lecturer, College of Water Conservancy and Hydropower Engineering, Hohai Univ., Nanjing 210098, China. E-mail:, G. R. Liu, (Professor, Centre for Advanced Computations in Engineering Science (ACES), Dept. of Mechanical Engineering, National Univ. of Singapore, 117576 Singapore.), Tong-Chun Li, (Professor, College of Water Conservancy and Hydropower Engineering, Hohai Univ., Nanjing 210098, China.), Sheng-Chuan Wu, Ph.D., (Lecturer, School of Materials Science and Engineering, Hefei Univ. of Technology, Hefei 230009, China.), and Gui-Yong Zhang, (Research Assistant Professor, School of Mechanical and Chemical Engineering, Univ. of Western Australia, Crawley WA 6009, Australia.)

Journal of Engineering Mechanics, Vol. 138, No. 1, January 2012, pp. 133-142, (doi:

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Document type: Journal Paper
Abstract: The meshfree edge-based smoothed point interpolation method (ES-PIM) is extended to the simulation of transient heat transfer problems for concrete dams in the construction process. The present ES-PIM consists of the following ingredients: (1) a novel cell death and birth technique is proposed to deal with the existence or nonexistence of the concrete layers, and hence the construction process of dams can be easily simulated; (2) a lumped diagonalization procedure for specific heat matrix is implemented to improve the stability and efficiency of transient computations; and (3) the triangular background cells are used to construct the nonoverlapping smoothing integral subdomains, and the cell-based T3- and T6/3-schemes are adopted for the node selection in the formation of PIM shape functions. On the basis of the weakened weak formulation, the ES-PIM is spatially stable and convergent to the exact solution. The ES-PIM can achieve better results in accuracy and convergence rate, in comparison with the finite element method using the same meshes.

ASCE Subject Headings:
Numerical analysis
Heat transfer
Concrete dams

Author Keywords:
Numerical methods
Smoothed meshfree methods
Transient heat transfer
Cell death and birth
Concrete dam