Article (Scientific journals)
Theoretical and numerical analysis of the influence of the bottom friction formulation in free surface flow modelling
Machiels, Olivier; Erpicum, Sébastien; Archambeau, Pierre et al.
2011In Water SA, 37 (2)
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Keywords :
friction; river flow; flow modelling
Abstract :
[en] Bottom friction modeling is an important step in river flows computation with 1D or 2D solvers. It is usually performed using energy slope based formulations established for uniform flow conditions or a turbulent regime based approach relying on turbulence analysis. However, the use of these formulations is often done for relative roughness far from their validity fields. Furthermore, the theoretical definition of the roughness coefficients, defined by the different authors of both approaches, is no more available for usual numerical flow modeling, considering numerical approximations. The value of this coefficient becomes generally dependent of the flow conditions. Following the definition of the flow validity field of the main friction formulations proposed in literature, an original formulation has been developed. It combines two explicit turbulent regime based formulations smoothly linked by a polynomial expression, providing a continuous formulation on the wide range of roughness usually encountered in river flows. The formulation is suitable to model, with a unique value of the friction coefficient, river flows with a wide range of hydrodynamic properties (water depth, discharge). The efficiency of this new formulation, fitted on explicit friction formulations and numerically adjusted, is demonstrated through various 1D and 2D practical applications.
Research center :
Aquapôle - ULiège
Disciplines :
Civil engineering
Author, co-author :
Machiels, Olivier ;  Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Erpicum, Sébastien  ;  Université de Liège - ULiège > Services généraux (Faculté des sciences appliquées) > Scientifiques attachés au Doyen (Sc.appliquées)
Archambeau, Pierre  ;  Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Dewals, Benjamin  ;  Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Pirotton, Michel ;  Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Language :
English
Title :
Theoretical and numerical analysis of the influence of the bottom friction formulation in free surface flow modelling
Publication date :
April 2011
Journal title :
Water SA
ISSN :
0378-4738
eISSN :
1816-7950
Publisher :
Water Research Commission, Pretoria, South Africa
Volume :
37
Issue :
2
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
Available on ORBi :
since 17 February 2011

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