A confrontation of 1D and 2D RKDG numerical simulation of transitional flow at open-channel junction

Autor: Abdellah Ghenaim, Rabih Ghostine, Caroline Gregoire, Robert Mosé, Georges Kesserwani, José Vazquez
Přispěvatelé: Institut de Mécanique des Fluides et des Solides (IMFS), École Nationale du Génie de l'Eau et de l'Environnement de Strasbourg (ENGEES)-Centre National de la Recherche Scientifique (CNRS), School of Civil Engineering and Geosciences [Newcastle], Newcastle University [Newcastle], Laboratoire de Génie de la Conception (LGeco), Institut National des Sciences Appliquées - Strasbourg (INSA Strasbourg), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Laboratoire d'Hydrologie et de Géochimie de Strasbourg (LHyGeS), École Nationale du Génie de l'Eau et de l'Environnement de Strasbourg (ENGEES)-Université de Strasbourg (UNISTRA)-Institut national des sciences de l'Univers (INSU - CNRS)-Ecole et Observatoire des Sciences de la Terre (EOST), Institut national des sciences de l'Univers (INSU - CNRS)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS)
Rok vydání: 2009
Předmět:
Water flow
0207 environmental engineering
Computational Mechanics
02 engineering and technology
Computational fluid dynamics
01 natural sciences
[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
Discontinuous Galerkin method
Momentum conservation
Calculus
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
0101 mathematics
020701 environmental engineering
Shallow water equations
Mathematics
Steady flow
Open channel junctions
Saint Venant equations
business.industry
Applied Mathematics
Mechanical Engineering
Mechanics
Computer Science Applications
Open-channel flow
010101 applied mathematics
Runge–Kutta methods
Flow (mathematics)
Mechanics of Materials
[SDE]Environmental Sciences
Transitional flow
Two-dimensional flow
business
Zdroj: International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids, Wiley, 2009, 61 (7), pp.752-767. ⟨10.1002/fld.1977⟩
ISSN: 1097-0363
0271-2091
Popis: International audience; In this study, a comparison between the 1D and 2D numerical simulation of transitional flow in open-channel networks is presented and completely described allowing for a full comprehension of the modeling water flow. For flow in an open-channel network, mutual effects exist among the channel branches joining at a junction. Therefore, for the 1D study, the whole system (branches and junction) cannot be treated individually. The 1D Saint Venant equations calculating the flow in the branches are then supplemented by various equations used at the junction: a discharge flow conservation equation between the branches arriving and leaving the junction, and a momentum or energy conservation equation. The disadvantages of the 1D study are that the equations used at the junction are of empirical nature due to certain parameters given by experimental results and moreover they often present a reduced field of validity. On the contrary, for the 2D study, the entire network is considered as a single unit and the flow in all the branches and junctions is solved simultaneously. Therefore, we simply apply the 2D Saint Venant equations, which are solved by a second-order Runge-Kutta discontinuous Galerkin method. Finally, the experimental results obtained by Hager are used to validate and to compare the two approaches 1D and 2D.
Databáze: OpenAIRE
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