Dam-Break Flows: Acquisition of Experimental Data through an Imaging Technique and 2D Numerical Modeling
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Volume 134, Issue 8
Abstract
This paper presents experimental and two-dimensional (2D) numerical results of four tests concerning rapidly varying flows induced by the sudden removal of a sluice gate. For the acquisition of the experimental data, an imaging technique capable of providing spatially distributed information was adopted: a coloring agent was added to the water, the opalescent bottom of the facility was backlighted, and photographs of the area of interest were taken. The gray tones of the acquired images were converted into water depths by means of transfer functions derived from a static calibration. The potential sources of error of the proposed procedure are discussed. A local comparison with an ultrasonic device showed a 20% maximum deviation in 95% of the observations. The tests were simulated through a 2D MUSCL-Hancock finite volume numerical model, based on the classical shallow water approximations, in which the intercell water depths are estimated according to the surface gradient method. A global analysis of the relative frequency distributions of the deviation between numerical and experimental results is performed. Despite some evident differences at a local scale, the adopted 2D numerical model is capable of reproducing the main features of the flow fields under investigation.
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Acknowledgments
This work was partly supported by the Italian Ministry of Scientific Research (MIUR) within the frame work of the PRIN Project 2005-06 “Dynamics of flooding over complex topography areas.” The experimental data presented in this paper are available at the website http://www.unipv.it/diata05/.
References
Alcrudo, F., and Mulet, J. (2007). “Description of the Tous dam break case study (Spain).” J. Hydraul. Res., 45 (Extra Issue), 45–57.
Aureli, F., Maranzoni, A., and Mignosa, P. (2004). “Two dimensional modeling of rapidly varying flows by finite volume schemes.” Proc., 2nd Int. Conf. on Fluvial Hydraulics, Balkema, Lisse, The Netherlands, 837–847.
Aureli, F., Maranzoni, A., Mignosa, P., and Ziveri, C. (2006). “Fully-2D and quasi-2D modeling of flooding scenarios due to embankment failure.” Proc., Int. Conf. on Fluvial Hydraulics, Taylor & Francis, London, 1473–1482.
Aureli, F., Maranzoni, A., Mignosa, P., and Ziveri, C. (2007). “A weighted surface-depth gradient method for the solution of the 2D shallow water equations.” Proc., 32nd Congress of IAHR (CD-ROM), Corila, Venice.
Aureli, F., and Mignosa, P. (2002). “Rapidly varying flows due to levee-breaking.” Proc., 1st Int. Conf. on Fluvial Hydraulics, Balkema, Lisse, The Netherlands, 459–466.
Aureli, F., and Mignosa, P. (2004). “Flooding scenarios due to levee breaking in the Po river.” Water Manage., 157(1), 3–12.
Bechteler, W., Kulisch, H., and Nujic, M. (1992). “2-D dam-break flooding waves: Comparison between experimental and calculated results.” Floods and flood management, A. J. Saul, ed., Kluwer Academic, Dodrecht, The Netherlands, 247–260.
Bellos, C. V., Soulis, J. V., and Sakkas, J. G. (1992). “Experimental investigations of two-dimensional dam-break induced flows.” J. Hydraul. Res., 30(1), 47–63.
Bermúdez, A., and Vázquez, M. E. (1994). “Upwind methods for hyperbolic conservation laws with source terms.” Comput. Fluids, 23(8), 1049–1071.
Braschi, G., Dadone, F., and Gallati, M. (1994). “Plain flooding: Near field and far field simulations.” Proc., Int. Conf.: Modelling of Flood Propagation over Initially Dry Areas, ASCE, New York, 45–59.
Brufau, P., and Garcia-Navarro, P. (2000). “Two-dimensional dam break flow simulation.” Int. J. Numer. Methods Fluids, 33(1), 35–57.
Caleffi, V., Valiani, A., and Zanni, A. (2003). “Finite volume method for simulating extreme flood events in natural channels.” J. Hydraul. Res., 41(2), 167–177.
Carrier, G. F., and Greenspan, H. P. (1958). “Water waves of finite amplitude on a sloping beach.” J. Fluid Mech., 4(01), 97–109.
Dressler, R. F. (1958). “Unsteady non-linear waves in sloping channel.” Proc. R. Soc. London, Ser. A, 247(1249), 186–198.
Fraccarollo, L., and Toro, E. F. (1995). “Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems.” J. Hydraul. Res., 33(6), 843–864.
Hervouet, J. M., and Janin, J. M. (1994). “Finite element algorithms for modelling flood propagation.” Proc., Int. Conf. on Modelling of Flood Propagation over Initially Dry Areas, ASCE, New York, 102–113.
Hirsch, C. (1990). Numerical computation of internal and external flows, Wiley, Chichester.
Iacono, R. (2005). “Analytic solutions to the shallow water equations.” Phys. Rev. E, 72(1), 017302.
International Association for Hydraulic Research (IAHR). (2007). “Dam-break flow experiment and real-case data. A database from the European IMPACT research program.” J. Hydraul. Res., 45 (Extra Issue), 5–109.
Kraus, K. (1997). Photogrammetry, Dümmler, Bonn, Germany.
Lauber, G., and Hager, W. H. (1998a). “Experiments to dambreak wave: Horizontal channel.” J. Hydraul. Res., 36(3), 291–307.
Lauber, G., and Hager, W. H. (1998b). “Experiments to dambreak wave: Sloping channel.” J. Hydraul. Res., 36(5), 761–773.
LeVeque, R. J. (2002). Finite volume methods for hyperbolic problems, Cambridge University Press, Cambridge.
Liska, R., and Wendroff, B. (1998). “Composite schemes for conservation laws.” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 35(6), 2250–2271.
MacDonald, I., Baines, M. J., Nichols, N. K., and Samuels, P. G. (1997). “Analytic benchmark solutions for open-channel flows.” J. Hydraul. Eng., 123(11), 1041–1045.
Morris, M. W. (2000). “CADAM, concerted action on dam-break modelling.” Final Rep., Rep. No. SR 571, Wallingford.
Pohle, F. V. (1952). “Motion of water due to breaking of a dam, and related problems.” Proc., NBS Semicentennial Symp. on Gravity Waves, Dept. of Commerce, National Bureau of Standards, Circular 521, Washington, D.C., 47–53.
Ritter, A. (1892). “Die Fortpflanzung der Wasserwellen.” Zeitschrift des Vereines Deutscher Ingenieure, 36(33), 947–954 (in German).
Shapiro, A. (1996). “Nonlinear shallow-water oscillations in a parabolic channel: Exact solutions and trajectory analysis.” J. Fluid Mech., 318, 49–76.
Soares Frazão, S., Morris, M. W., and Zech, Y. (2000). “Concerted action on dambreak modelling: Objectives, project report, test cases, meeting proceedings.” (CD-ROM), Civil Engineering Dept., Hydraulics Division, Univ. Catholique de Louvain, Louvain-la-Neuve, Belgium.
Soares Frazão, S., Zech, Y., and Morris, M. (2003). “IMPACT, Investigation of extreme flood processes and uncertainty.” 3rd Project Workshop Proc. (CD-ROM), Louvain-la-Neuve, Belgium.
Stoker, J. J. (1948). “The formation of breakers and bores.” Commun. Pure Appl. Math., 1(1), 1–87.
Thacker, W. C. (1981). “Some exact solutions to the nonlinear shallow-water wave equations.” J. Fluid Mech., 107, 499–508.
Toro, E. F. (1997). Riemann solvers and numerical methods for fluid dynamics, Springer, Berlin.
Toro, E. F. (2001). Shock-capturing methods for free-surface shallow flows, Wiley, Chichester.
Valiani, A., Caleffi, V., and Zanni, A. (2002). “Case study: Malpasset dam-break simulation using a two-dimensional finite volume method.” J. Hydraul. Eng., 128(5), 385–393.
Zhou, J. G., Causon, D. M., Ingram, D. M., and Mingham, C. G. (2002). “Numerical solution of the shallow water equations with discontinuous topography.” Int. J. Numer. Methods Fluids, 38(8), 769–788.
Zhou, J. G., Causon, D. M., Mingham, C. G., and Ingram, D. M. (2001). “The surface gradient method for the treatment of source terms in the shallow water equations.” J. Comput. Phys., 168(1), 1–25.
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Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 8 • August 2008
Pages: 1089 - 1101
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© 2008 ASCE.
History
Received: Nov 8, 2006
Accepted: Dec 19, 2007
Published online: Aug 1, 2008
Published in print: Aug 2008
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