Two-Dimensional Simulation of Subcritical Flow at a Combining Junction: Luxury or Necessity?
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 10
Abstract
Classically, in open-channel networks, the flow is numerically approximated by the one-dimensional Saint Venant equations coupled with a junction model. In this study, a comparison between the one-dimensional (1D) and two-dimensional (2D) numerical simulations of subcritical flow in open-channel networks is presented and completely described allowing for a full comprehension of the modeling of water flow. For the 1D, the mathematical model used is the 1D Saint Venant equations to find the solution in branches. For junction, various models based on momentum or energy conservation have been developed to relate the flow variables at the junction. These models are of empirical nature due to certain parameters given by experimental results and moreover they often present a reduced field of validity. In contrast, for the 2D simulation, the junction is discretized into triangular cells and we simply apply the 2D Saint Venant equations, which are solved by a second-order finite-volume method. In order to give an answer to the question of luxury or necessity of the 2D approach, the 1D and 2D numerical results for steady flow are compared to existing experimental data.
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Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 10 • October 2010
Pages: 799 - 805
Copyright
© 2010 ASCE.
History
Received: Sep 11, 2007
Accepted: Mar 19, 2010
Published online: Mar 27, 2010
Published in print: Oct 2010
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