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Analysis of free-surface flows past overflow gates using finite element method
Affiliation:1. WasserCluster Lunz GmbH, Dr. Carl Kupelwieser Promenade 5, 3293 Lunz am See, Austria;2. University of Natural Resources and Life Sciences, Institute of Hydrobiology and Aquatic Ecosystem Management, Max-Emanuel Straße 17, 1180 Vienna, Austria;3. FLUVIUS Floodplain Ecology and River Basin Management, Hetzgasse 22/7, 1030 Vienna, Austria;4. University of Natural Resources and Life Sciences, Institute of Water Management, Hydrology and Hydraulic Engineering, Muthgasse 107, 1190 Vienna, Austria;5. Danube Delta National Institute for Research and Development, 165 Babadag street, Tulcea 820112, Romania;6. Biological and Environmental Science, University of Stirling, Stirling FK9 4LA, Scotland, United Kingdom;1. Institute of Nature Conservation, Polish Academy of Sciences, al. Mickiewicza 33, 31-120 Kraków, Poland;2. Institute for Agricultural and Forest Environment, Polish Academy of Sciences, ul. Bukowska 19, 60-809 Poznań, Poland;3. Potsdam Institute for Climate Impact Research, Telegrafenberg, 14473 Potsdam, Germany;4. Institute of Meteorology and Water Management — National Research Institute, ul. Borowego 14, 30-215 Kraków, Poland;5. Department of Hydraulic Engineering, Warsaw University of Life Sciences, ul. Nowoursynowska 166, 02-787 Warszawa, Poland;6. Institute of Geography, Pedagogical University of Cracow, ul. Podchorążych 2, 30-084 Kraków, Poland;7. Faculty of Civil Engineering, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland
Abstract:A calculation procedure for the analysis of flows past overflow gates is presented and evaluated. It is assumed that the viscous effects are negligible and the flow is irrotational. A combination of a variable domain and a fixed domain-finite-element method is utilized to solve the governing potential-flow equations. The procedure is applied to various cases with different shape and curvature. In each case, the free surface profile, including a part part of the free jet, trajectory, the pressure distribution and the flow rate are calculated for a given stagnation water level. The predictions are compared with laboratory measurements; the agreement is found to be very good.
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