ES-PIM with Cell Death and Birth Technique for Simulating Heat Transfer in Concrete Dam Construction Process
Publication: Journal of Engineering Mechanics
Volume 138, Issue 1
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.
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Acknowledgments
The support of the Fundamental Research Funds for the Central Universities (No. UNSPECIFIED2009B01814) and the Natural Science Foundation of China (No. NSFC51009056) is gratefully acknowledged. The writers also give sincerely thanks to the support of Singapore-MIT Alliance (SMA) and A*Star Singapore.
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© 2012 American Society of Civil Engineers.
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Received: Jul 20, 2010
Accepted: Jul 28, 2011
Published online: Jul 30, 2011
Published in print: Jan 1, 2012
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