An exact solution for ideal dam‐break floods on steep slopes

Ancey, Christophe; Iverson, Richard M.; Rentschler, Martin; Denlinger, Roger P.

doi:10.1029/2007wr006353

Cited by 66 publications

(40 citation statements)

References 37 publications

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“…This contrasts somehow with what we know of inertial flows. For inviscid fluids instantaneously released on a dry horizontal plane, dam-break theory predicts that the front velocity u f does not vary with time, but solely with the initial flow depth h 0 : u f = 2gh 0 (Ritter's solution); for sloping beds, the front is continuously accelerating [54]. If we take the example of Fig.…”

Section: Front Position Contact Line and Flow-depth Profilementioning

confidence: 99%

Experimental investigation of the spreading of viscoplastic fluids on inclined planes

Cochard

Ancey

2009

Journal of Non-Newtonian Fluid Mechanics

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a b s t r a c tWe report experimental results related to the dam-break problem for viscoplastic fluids. Using image processing techniques, we were able to accurately reconstruct the free-surface evolution of fixed volumes of fluid suddenly released a plane. We used Carbopol Ultrez 10 as a viscoplastic material; its rheological behavior was closely approximated by a Herschel-Bulkley model for a fairly wide range of shear-rates. Varying the Carbopol concentration allowed us to change the yield stress and bulk viscosity. The yield stress ranged from 78 to 109 Pa, producing Bingham numbers in the 0.07-0.35 range. We investigated the behavior of a 43-kg mass released on a plane, whose inclination ranged from 0 • to 18 • . For each run, we observed that the behavior was nearly the same: at short times, the mass accelerated vigorously on gate opening and very quickly reached a nearly constant velocity. At time t = 1 s, independently of plane inclination and yield stress, the mass reached a near-equilibrium regime, where the front position varied as a power function of time over several decades. We did not observe any run-out phase, during which the mass would have gradually come to a halt. The similarity in the flow behavior made it possible to derive an empirical scaling for the front position in the form x f = t 0.275(sin˛) 1/3 (sin˛) 5/4 , where˛and t denote plane inclination and time, respectively, and which holds for sloping beds (˛> 0).

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Section: Front Position Contact Line and Flow-depth Profilementioning

confidence: 99%

Experimental investigation of the spreading of viscoplastic fluids on inclined planes

Cochard

Ancey

2009

Journal of Non-Newtonian Fluid Mechanics

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“…Simulaciones numéricas con ecuaciones 2D conocidas como shallow water equations (SWE) fueron realizadas por (Fraccarollo y Toro, 1995;Frazão y Zech, 2002). Otros ejemplos en los cuales también se obtuvo una representación adecuada usando modelos 2D fueron presentados por Aricò et al (2007) y Ancey et al (2008). Los modelos numéricos tratados hasta el momento suponen velocidades y aceleraciones verticales despreciables lo que da lugar a una distribución hidrostática de presiones.…”

Section: Introductionunclassified

Análisis numérico 3D de una rotura de presa utilizando el método VOF y el modelo de turbulencia LES

et al. 2018

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Citar como: Sánchez-Cordero, E., Boix, J., Gómez, M., Bladé, E. 2018. 3D numerical analysis of a dam -break using VOF method and LES turbulence model. Ingeniería del agua, 22(3), 167-176. https://doi.org/10.4995/Ia.2018.9374 RESUMENEl presente trabajo muestra un análisis numérico 3D del comportamiento del flujo de agua en una rotura de presa a escala de laboratorio. La simulación se realizó utilizando el software de dinámica de fluidos computacional (CFD) basado en el método de volúmenes finitos (FVM) -OpenFOAM. En el modelo numérico la turbulencia es tratada con la metodología LES (Large Eddy Simulation) y el método VOF (Volume of Fluid) es usado para la captura de la superficie libre del agua. Los resultados numéricos obtenidos se comparan con datos experimentales publicados haciendo uso de las variables de calado y presión. Los resultados muestran que la configuración del código numérico 3D es capaz de reproducir satisfactoriamente la variación temporal de las variables en estudio, con tendencias correctas y una alta correlación con los valores experimentales.Palabras clave | rotura de presa; 3D; VOF; LES; OpenFOAM. ABSTRACT In this paper, three-dimensional numerical analysis of dam-break flow pattern in a laboratory-scale is reported. The simulation was performed using the open source computational fluid dynamics (CFD) solver based on finite volume method (FVM) -OpenFOAM. Turbulence is treated using large eddy simulation (LES) approach. The free surface is tracked using the Volume of Fluid method (VOF

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“…More recently Mangeney et al [15] found a solution for the 1D sloped Dam-Break with friction using the Method of characteristics and applied it to avalanches. Ancey et al [16] presented a solution for steep slopes.…”

Section: Sve Analytical Solutionsmentioning

confidence: 99%

“…The next step is finding the solution for Area 3 variables. The characteristics (16) and (18) are the solution for the ordinary differential equations (12) and (13) as long as relations (15) and (17) are satisfied. In Area 3 along the negative characteristic (18) we have:…”

Section: Step 2 -Dam-breakmentioning

confidence: 99%

Analytical and numerical solutions of the Local Inertial Equations

Martins

Leandro

Djordjević

2016

International Journal of Non-Linear Mechanics

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Neglecting the convective terms in the Saint-Venant Equations (SVE) in flood hydrodynamic modelling can be done without a loss in accuracy of the simulation results. In this case the Local Inertial Equations (LInE), are obtained. Herein we present two analytical solutions for the Local Inertial Equations. The first is the classical instantaneous Dam-Break Problem and the second a steady state solution over a bump. These solutions are compared with two numerical schemes, namely the first order Roe scheme and the second order MacCormack scheme. Comparison between analytical and numerical results shows that the numerical schemes and the analytical solution converge to a unique solution. Furthermore, by neglecting the convective terms the original numerical schemes remain stable without the need for adding entropy correction, artificial viscosity or special initial conditions, as in the case of the full SVE.

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An exact solution for ideal dam‐break floods on steep slopes

Cited by 66 publications

References 37 publications

Experimental investigation of the spreading of viscoplastic fluids on inclined planes

Experimental investigation of the spreading of viscoplastic fluids on inclined planes

Análisis numérico 3D de una rotura de presa utilizando el método VOF y el modelo de turbulencia LES

Analytical and numerical solutions of the Local Inertial Equations

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