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Numerical stability problems in hydrodynamic modelling of confluences with small junction angles

Authorized Users Only
2009
Authors
Đorđević, Dejana
Contributors
Parra, Oscar
Zambrano, Joel
Stehr, Alejandra
Conference object (Published version)
,
Universidad de Concepción
Metadata
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Abstract
The paper addresses problems which arise from the use of 3D grids with quadrilateral faces on the horizontal planes in hydrodynamic modelling of discordant beds asymmetrical confluences with small junction angles. There are two sources of instabilities: a) steep gradients that develop near the backward facing step at the tributary entrance to the confluence and b) skewness of the cell faces on the horizontal planes. In previous studies of the concordant beds confluences the junction-angle of 45 was reported as the angle which still provides stable solution. In this paper, the limit value is redefined, and the minimal percentages of the post-confluence channel widening, necessary for obtaining stable solution, are defined for the set of small junction angles. Additionally, the practical consequences of artificial channel widening are discussed in detail. An attempt is made to reconstruct the profiles of the: a) minimal and maximal u-, v- and w- velocity values and b) non-d...imensional bed shear stress for the case with no post-confluence channel widening.

Keywords:
3D grids with quadrilateral faces / numerical instability / backward facing step / skewness of the cell faces / small junction angle / artificial post-confluence channel widening
Source:
Proceedings of the 8th International Conference on Hydroinformatics – HIC 2009, 2009, 1/40-10
Publisher:
  • Universidad de Concepción
Funding / projects:
  • Upravljanje vodnim akumukacijama i njihova zaštita (RS-22011)
  • Rizici u primeni Okvirnih direktiva Evropske unije u Republici Srbiji (RS-22017)

ISBN: 978-981-08-2099-2

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_2296
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2296
Collections
  • Катедра за хидротехнику и водно-еколошко инжењерство
Institution/Community
GraFar
TY  - CONF
AU  - Đorđević, Dejana
PY  - 2009
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2296
AB  - The paper addresses problems which arise from the use of 3D grids with quadrilateral faces on 
the horizontal planes in hydrodynamic modelling of discordant beds asymmetrical confluences
with small junction angles. There are two sources of instabilities: a) steep gradients that develop 
near the backward facing step at the tributary entrance to the confluence and b) skewness of the
cell faces on the horizontal planes. In previous studies of the concordant beds confluences the 
junction-angle of 45  was reported as the angle which still provides stable solution. In this paper,
the limit value is redefined, and the minimal percentages of the post-confluence channel widening, necessary for obtaining stable solution, are defined for the set of small junction angles.
Additionally, the practical consequences of artificial channel widening are discussed in detail. 
An attempt is made to reconstruct the profiles of the: a) minimal and maximal u-, v- and w-
velocity values and b) non-dimensional bed shear stress for the case with no post-confluence 
channel widening.
PB  - Universidad de Concepción
C3  - Proceedings of the 8th International Conference on Hydroinformatics – HIC 2009
T1  - Numerical stability problems in hydrodynamic modelling of confluences with small junction angles
EP  - 10
SP  - 1/40
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2296
ER  - 
@conference{
author = "Đorđević, Dejana",
year = "2009",
abstract = "The paper addresses problems which arise from the use of 3D grids with quadrilateral faces on 
the horizontal planes in hydrodynamic modelling of discordant beds asymmetrical confluences
with small junction angles. There are two sources of instabilities: a) steep gradients that develop 
near the backward facing step at the tributary entrance to the confluence and b) skewness of the
cell faces on the horizontal planes. In previous studies of the concordant beds confluences the 
junction-angle of 45  was reported as the angle which still provides stable solution. In this paper,
the limit value is redefined, and the minimal percentages of the post-confluence channel widening, necessary for obtaining stable solution, are defined for the set of small junction angles.
Additionally, the practical consequences of artificial channel widening are discussed in detail. 
An attempt is made to reconstruct the profiles of the: a) minimal and maximal u-, v- and w-
velocity values and b) non-dimensional bed shear stress for the case with no post-confluence 
channel widening.",
publisher = "Universidad de Concepción",
journal = "Proceedings of the 8th International Conference on Hydroinformatics – HIC 2009",
title = "Numerical stability problems in hydrodynamic modelling of confluences with small junction angles",
pages = "10-1/40",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2296"
}
Đorđević, D.. (2009). Numerical stability problems in hydrodynamic modelling of confluences with small junction angles. in Proceedings of the 8th International Conference on Hydroinformatics – HIC 2009
Universidad de Concepción., 1/40-10.
https://hdl.handle.net/21.15107/rcub_grafar_2296
Đorđević D. Numerical stability problems in hydrodynamic modelling of confluences with small junction angles. in Proceedings of the 8th International Conference on Hydroinformatics – HIC 2009. 2009;:1/40-10.
https://hdl.handle.net/21.15107/rcub_grafar_2296 .
Đorđević, Dejana, "Numerical stability problems in hydrodynamic modelling of confluences with small junction angles" in Proceedings of the 8th International Conference on Hydroinformatics – HIC 2009 (2009):1/40-10,
https://hdl.handle.net/21.15107/rcub_grafar_2296 .

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