Numerical simulation of a hydraulic Saint-Venant type model with pressure-dependent leakage

The objective of this paper is to present and validate an improved formulation of the hydraulic network equations that incorporate pressure-dependent leakage in Water Distribution Systems. The formulation is derived from the Navier–Stokes equations and solved using an adequate splitting method. An i...

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Bibliographic Details
Published in:Applied mathematics letters 2009-11, Vol.22 (11), p.1694-1699
Main Authors: Brémond, B., Fabrie, P., Jaumouillé, E., Mortazavi, I., Piller, O.
Format: Article
Language:English
Subjects:
[formula omitted]-Laplacian
Engineering Sciences
Exact sciences and technology
Fluid mechanics
Fluids mechanics
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Mechanics
Newton method
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Physics
Pressure-dependent leakage
Sciences and techniques of general use
Splitting method
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:The objective of this paper is to present and validate an improved formulation of the hydraulic network equations that incorporate pressure-dependent leakage in Water Distribution Systems. The formulation is derived from the Navier–Stokes equations and solved using an adequate splitting method. An implicit numerical scheme is used to solve the p -Laplacian equation. The model is validated on a benchmark pipe network.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2009.02.007