Journal
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
Volume 12, Issue 10, Pages 1991-2005Publisher
LATIN AMER J SOLIDS STRUCTURES
DOI: 10.1590/1679-78251726
Keywords
Seepage; free surface; isotropic dam; hybrid finite element method; Green's function
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Funding
- Natural Science Foundation of China [11102059, 11472099]
- Creative Talents Program of Universities in Henan Province [13HASTIT019]
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A solution procedure using the Green's function based finite element method (FEM) is presented for two-dimensional nonlinear steady-state seepage analysis with the presence of free surface in isotropic dams. In the present algorithm, an iteration strategy is designed to convert the over-specified free surface problem to a regular partial differential equation problem. Then, at each iteration step, the Green's function for isotropic linear seepage partial differential equation is employed to construct the element interior water head field, while the conventional shape functions are used for the independent element frame water head field. Then these two independent fields are connected by a double-variable hybrid functional to produce the final solving equation system. By means of the physical definition of Green's function, all two-dimensional element domain integrals in the present algorithm can reduce to one-dimensional element boundary integrals, so that versatile multinode element is constructed to simplify mesh reconstruction during iteration. Finally, numerical results from the present Green's function based FEM with isotropic Green's function kernels are compared with other numerical results to verify and demonstrate the performance of the present method.
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