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• W2184043721 abstract "Computational flow models that are developed based on the depth-averaged Saint–Venant equations cannot be used to simulate flow over shortand broad-crested trapezoidal profile weirs. In the derivation of the Saint–Venant equations, uniform velocity and hydrostatic pressure distribut ions have been assumed. These assumptions restrict the application of the equations to flow situations with insignificant curvature of streamlines. In thi s study a Boussinesq-type momentum equation, which allows for curvature of the free surface and a non-hydrostatic pressure distribution, along with a simplified equation for weakly curved free surface flow, are investigated for the numerical simulation of steady flow over short- and broad-crested types of these weirs with smooth and rough flow boundaries. The finite difference method is employed to discretize and solve these nonlinear flow equations. Computed and measured results of flow surface and bed pressure profiles for these types of weirs are presented. The Boussinesq-type momentum equation performs satisfactorily for both subcritical and transcritical flow situations, while the simplified equation simulates these flo w situations on rough flow boundaries fairly well. The overall prediction results validate the use of the weak curvature approximation. RESUME Les modeles numeriques d’ecoulement bases sur les equations de Saint–Venant moyennees en profondeur ne peuvent pas simuler les ecoulements sur les deversoirs trapezoidaux de courte ou de large crete. En effet, pour etablir les equations de Saint–Venant, on suppose que la vitesse est uniforme e t les pressions hydrostatiques. Ces hypotheses limitent l’application de ces equations aux situations dans lesquelles la courbure des lignes de cour ant est insignifiante. Dans cette etude une equation des quantites de mouvement de type Boussinesq, qui tient compte de la courbure de la surface libre et d’une distribution non-hydrostatique de pression, ainsi qu’une equation simplifiee pour les ecoulements avec surface libre faiblement incurvee, sont et udiees pour simuler numeriquement un ecoulement permanent sur ces deversoirs de types courte ou large crete avec des frontieres d’ecoulement lisses ou rugueuses. Ces equations non-lineaires sont resolues par une methode de discretisation en differences finies. Des resultats calcules et mesures des profils de surface libre et de pression de lit pour ces types de deversoirs sont presentes. L’equation des quantites de mouvement de type Boussinesq permet de calculer d’une maniere satisfaisante les situations sous-critiques et transcritiques de l’ecoulement, alors que l’equation simplifiee simule vra iment bien ces situations d’ecoulement sur des frontieres rugueuses. Les resultats globaux de prevision valident l’utilisation de l’approximation de faible courbure." @default.
• W2184043721 created "2016-06-24" @default.
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• W2184043721 date "2007-01-01" @default.
• W2184043721 modified "2023-09-27" @default.
• W2184043721 title "A Boussinesq-type model for flow over trapezoidal profile weirs Un modèle de type Boussinesq pour les déversoirs trapézoïdaux de profil d'excédent d'écoulement" @default.
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