Treatment of transitional element with the Monte Carlo method for FEM-based seepage analysis |
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| Institution: | 1. ARC Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia;2. Department of Civil and Environmental Engineering, Colorado School of Mines, Golden, CO 80401, USA;3. ARC Centre of Excellence for Geotechnical Science and Engineering, The University of Western Australia, Crawley, WA 6009, Australia |
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| Abstract: | In this paper, The Monte Carlo method is incorporated into the finite element method (FEM) to conduct seepage analysis with a free surface. For the transitional element cut by the free surface, it is used to calculate the composite permeability coefficient, as well as to perform the integration directly using Monte Carlo integration. This new algorithm requires less iteration procedures for convergence. The convergence of the method is also proved for cases where there is a significant difference between the permeability coefficient above and below the free surface. |
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