Analysis of Water Infiltration under Impermeable Dams by Analytical and Boundary Element Methods in Complex

Author:

Cipu Elena Corina1ORCID

Affiliation:

1. Department of Applied Mathematics, Centre for Research and Training in Innovative Techniques of Applied Mathematics in Engineering “Traian Lalescu” (CiTi), Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania

Abstract

The boundary element method (BEM) is used by applying Cauchy’s formula to the boundary of the water movement domain under a dam. By approximating the border with a polygon through linear interpolation, the relationships between the complex velocities on each edge of the polygon are analytically deduced. For the case of the flow domain described by a semi- circular closed contours, the numerical values of the velocity are computed and compared with those obtained only analytically. Conclusions on the analytical and numerical context are drawn.

Funder

University Politehnica of Bucharest

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference19 articles.

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5. Rubin, Y., Langevin, C.D., and Wolfsberg, A.W. (2003). MODFLOW-2000, the U.S. Geological Survey Modular Ground-Water Model—User Guide to the LMT6 Package, Techniques and Methods.

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