Hydraulic Determination of Dam Releases to Generate Warning Waves in a Mountain Stream: Performance of an Analytical Kinematic Wave Model
Publication: Journal of Hydraulic Engineering
Volume 144, Issue 3
Abstract
This study examines the generation of warning waves with prescribed characteristics in a mountain stream. The authors determine which dam release will generate the desired warning wave. They solve this inverse problem following a two-model approach. An analytical kinematic model is used for a preliminary design of the dam release, and a detailed two-dimensional (2D) fully dynamic model is used to converge to the final solution. Although the presented case study is far from an idealized academic case, the analytical model performs well and, beyond its role for preliminary design, turns out to be of prime interest for both understanding and discussing the results of the detailed 2D model. The complex interactions between the release hydrograph, geometry of the river, and the friction formula are brought to light by the analytical model, which highlights the complementarity of both models and the usefulness of such a two-model approach.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors gratefully acknowledge EDF for funding part of this research and for providing data.
References
Aureli, F., Maranzoni, A., and Mignosa, P. (2014). “A semi-analytical method for predicting the outflow hydrograph due to dam-break in natural valleys.” Adv. Water Resour., 63, 38–44.
Boyd, S., and Vandenberghe, L. (2009). Convex optimisation, Cambridge University Press, Cambridge, U.K.
Capart, H. (2013). “Analytical solutions for gradual dam breaching and downstream river flooding.” Water Resour. Res., 49(4), 1968–1987.
Cox, R. J., Shand, T. D., and Blacka, M. J. (2010). “Australian rainfall and runoff (AR&R). Revision Project 10: Appropriate safety criteria for people.” Commenwealth of Australia, Kensington, Australia.
Erpicum, S., Dewals, B., Archambeau, P., Detrembleur, S., and Pirotton, M. (2010a). “Detailed inundation modelling using high resolution DEMs.” Eng. Appl. Comput. Fluid Mech., 4(2), 196–208.
Erpicum, S., Dewals, B., Archambeau, P., and Pirotton, M. (2010b). “Dam-break flow computation based on an efficient flux-vector splitting.” J. Comput. Appl. Math., 234(7), 2143–2151.
Guinot, V. (2008). Wave propagation in fluids: Models and numerical techniques, ISTE, London.
Gunzburger, M. D. (2003). Perspectives in flow control and optimization, SIAM, Philadelphia.
Hunt, B. (1984a). “Dam-break solution.” J. Hydraul. Eng., 675–686.
Hunt, B. (1984b). “Perturbation solution for dam-break floods.” J. Hydraul. Eng., 1058–1071.
Machiels, O., Erpicum, S., Archambeau, P., Dewals, B., and Pirotton, M. (2011). “Theoretical and numerical analysis of the influence of the bottom friction formulation in free surface flow modelling.” Water SA, 37(2), 221–228.
Martinez-Gomariz, E., Gomez, M., and Russo, B. (2016). “Experimental study of the stability of pedestrians exposed to urban pluvial flooding.” Nat. Hazard., 82(2), 1259–1278.
Peltier, Y., Erpicum, S., Archambeau, P., Pirotton, M., and Dewals, B. (2015). “Can meandering flows in shallow rectangular reservoirs be modelled with the 2D shallow water equations?” J. Hydraul. Eng., 04015008.
Pudasaini, S. P. (2011). “Some exact solutions for debris and avalanche flows.” Phys. Fluids, 23(4), 043301.
Roger, S., et al. (2009). “Experimental and numerical investigations of dike-break induced flows.” J. Hydraul. Res., 47(3), 349–359.
Sabatier, P. C. (2000). “Past and future of inverse problems.” J. Math. Phys., 41(6), 4082–4124.
Sellier, M. (2016). “Inverse problems in free surface flows: A review.” Acta Mech., 227(3), 913–935.
Singh, V. P. (2001). “Kinematic wave modelling in water resources: A historical perspective.” Hydrol. Processes, 15(4), 671–706.
Sturm, T. W. (2010). Open channel hydraulics, McGraw-Hill, New York.
Whitham, G. B. (1974). Linear and nonlinear waves, Wiley, New York.
Wolf2D version 6.0 [Computer software]. Liege Univ., Liege, Belgium.
Wu, W. (2008). Computational river dynamics, Taylor & Francis, London.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 144 • Issue 3 • March 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Aug 25, 2016
Accepted: Sep 6, 2017
Published online: Dec 29, 2017
Published in print: Mar 1, 2018
Discussion open until: May 29, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.