A semi‐implicit numerical model for urban drainage systems |
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| Authors: | Vincenzo Casulli Guus S Stelling |
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| Institution: | 1. Laboratory of Applied Mathematics, Department of Civil, Environmental and Mechanical Engineering, University of Trento, , 77 – I‐38123 Trento, Italy;2. Environmental Fluid Mechanics Section, Faculty of Civil Engineering and Geosciences, Delft University of Technology, , Delft, The Netherlands;3. Faculty of Engineering, National University of Singapore, , Singapore |
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| Abstract: | In this paper, a semi‐implicit numerical model for one‐dimensional urban drainage networks is formulated in such a fashion as to intrinsically account for arbitrary cross sections, for the occurrence of dry areas, for free surface, and for pressurized flows. The governing differential equations are discretized with a consistent mass conservative scheme that naturally applies to all flow regimes. The resulting mildly nonlinear system, at every time step, is efficiently solved with a converging, properly devised, nested Newton‐type algorithm. It will be shown that with the proposed semi‐implicit model, high accuracy can be achieved at a moderate computational cost. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | urban drainage semi‐implicit method mildly nonlinear system free surface flow pressurized flow shallow water wetting and drying |
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