Finite volume simulation of unsteady water pipe flow
The most commonly used hydraulic network models used in the drinking water community exclusively consider fully filled pipes. However, water flow numerical simulation in urban pipe systems may require to model transitions between surface flow and pressurized flow in steady and transient situations....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2014-08-01
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| Series: | Drinking Water Engineering and Science |
| Online Access: | http://www.drink-water-eng-sci.net/7/83/2014/dwes-7-83-2014.pdf |
| Summary: | The most commonly used hydraulic network models used in the drinking water
community exclusively consider fully filled pipes. However, water flow
numerical simulation in urban pipe systems may require to model transitions
between surface flow and pressurized flow in steady and transient situations.
The governing equations for both flow types are different and this must be
taken into account in order to get a complete numerical model for solving
dynamically transients. In this work, a numerical simulation tool is
developed, capable of simulating pipe networks mainly unpressurized, with
isolated points of pressurization. For this purpose, the mathematical model
is reformulated by means of the Preissmann slot method. This technique
provides a reasonable estimation of the water pressure in cases of
pressurization. The numerical model is based on the first order Roe's scheme,
in the frame of finite volume methods. The novelty of the method is that it
is adapted to abrupt transient situations, with subcritical and supercritical
flows. The validation has been done by means of several cases with analytic
solutions or empirical laboratory data. It has also been applied to some more
complex and realistic cases, like junctions or pipe networks. |
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| ISSN: | 1996-9457 1996-9465 |