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A semi-implicit numerical model for urban drainage systems

Authors

  • Vincenzo Casulli,

    Corresponding author
    • Laboratory of Applied Mathematics, Department of Civil, Environmental and Mechanical Engineering, University of Trento, 77 – I-38123 Trento, Italy
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  • Guus S. Stelling

    1. Environmental Fluid Mechanics Section, Faculty of Civil Engineering and Geosciences, Delft University of Technology, Delft, The Netherlands
    2. Faculty of Engineering, National University of Singapore, Singapore
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Correspondence to: V. Casulli, Laboratory of Applied Mathematics, Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano, 77 – I-38123 Trento, Italy.

E-mail: vincenzo.casulli@unitn.it

SUMMARY

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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