期刊
MATHEMATICS AND COMPUTERS IN SIMULATION
卷 89, 期 -, 页码 23-37出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.matcom.2013.03.006
关键词
Natural element method (NEM); Seepage; Free surface; Voronoi diagrams; Delaunay triangle
类别
资金
- Natural Science Foundation of China [51039003]
- National Basic Research Program of China (973 Program) [2013CB036402]
- State Key Laboratory of Hydroscience and Engineering [2013-KY-4]
As one kind of meshless methods, the natural element method (NEM) constructs shape functions based on the Voronoi diagrams, and it has advantages of both the conventional meshless method and the finite element method. Since the nodes are independent of the integral mesh, it is more suitable for the analysis of seepage with a free surface than the finite element method. In addition, its shape functions satisfy the Kronecker delta conditions, therefore, its boundary conditions can be dealt with much easily than those of such meshless method as element-free Galerkin method (EFGM). In this paper, the NEM was used in the seepage analysis of dams. The initial free surface was assumed first in the calculations, and the location of the free surface was adjusted according to the calculation results. The examples showed that the natural element method lead to satisfactory results. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
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