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Evaluation of seepage problem under a concrete dam with finite volume method

Shamsai, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. Abstract:
  3. In most of countries, underground waters are the most important sources to provide drinking water. So it is necessary to make scheme and to do high protection of to achieve maximum beneficiary. Necessity of this management is going to be felt by developing these sources and human's interference. However, in the past overtopping phenomenon was the first reason of dam's destruction, but nowadays by increasing of spate design's period, the significant problem that researchers are interfere with, is seepage problem. The purpose of solving the underground problems is to procure height of water as a function of coordinate and time. In observation of practical industries, we can use the mathematical models that simulate the water flow in porous medias. Often, in the large areas, examinations are impossible and too expensive. So, with computer simulation, more areas are going to be studied. In this paper, mathematic model of moving water under the concrete dams in porous media is to discussed. In this case, by according to descritization methods of governed equations in porous medias such as finite difference and finite element, finite volume technique is selected. Presentation model shows the amount of water that is waste from under the concrete dam. Herein, to possibility of solving the problem with this method, the media is simplified. For solving the equations, unstructured mesh is used. The effect of under-relaxation coefficient to increase the rate of convergence is to be illustrated. This factor is calculated and is equal to 0.995 that shows 10 percent or improvement in rate of convergence. At the end, the results of amount of seepage by using 3 powerful seepage codes (seep/w, mseep and plaxis) that are based on finite element method which are compared with FVseep model that is based on finite volume method and shows 5.1 percent of improvement in accuracy
  4. Keywords:
  5. Drinking water ; Finite difference ; Finite element ; Finite volume technique ; Mathematic model ; Moving water ; Porous media ; Presentation model ; Rate of convergence ; Seepage problem ; Underground water ; Under relaxation ; Unstructured mesh ; Water flows ; Aerodynamics ; Approximation theory ; Computer simulation ; Concrete dams ; Contacts (fluid mechanics) ; Finite volume method ; Fluid mechanics ; Groundwater ; Hydraulic structures ; Mathematical models ; Porous materials ; Potable water ; Seepage ; Problem solving
  6. Source: Proceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09, 20 August 2009 through 22 August 2009 ; 2009 , Pages 34-40 ; 9789604741069 (ISBN)
  7. URL: http://www.wseas.us/e-library/conferences/2009/moscow/FMA/FMA04.pdf