A semi-implicit numerical model for urban drainage systems
| Autor: | Guus S. Stelling, Vincenzo Casulli |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Discretization
Computer science Differential equation Applied Mathematics Mechanical Engineering Computational Mechanics Time step Computer Science Applications Waves and shallow water Nonlinear system Flow (mathematics) Mechanics of Materials Free surface Applied mathematics Geotechnical engineering Drainage |
| Zdroj: | International Journal for Numerical Methods in Fluids. 73:600-614 |
| ISSN: | 0271-2091 |
| DOI: | 10.1002/fld.3817 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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