Transient Two-Dimensional Simulation of Real Flood Events in a Mediterranean Floodplain
Publication: Journal of Hydraulic Engineering
Volume 138, Issue 7
Abstract
The application of a two-dimensional (2D) finite volume numerical model to real flood events in the Ebro River is presented. The hydraulic model used is based on the 2D transient shallow-water equations on the irregular bed that are able to compute flow advance over a dry bed. This study involves the reliable simulation of not only the flood wave advance but also the drying process in a series of events of different magnitude. The importance of the correct characterization of the roughness coefficient and the topography is emphasized in the study. The former is estimated from a previous classification of structurally homogeneous habitats, and the latter is defined by merging the digital terrain model data with a hydraulic river bed elevation reconstruction algorithm. The calibration of the full model resulting from the roughness, bed river, and flow simulation models is based on field measurements of the flooded area for two steady discharges. The validation is performed by comparing the numerical results with the water levels measured during five flood events at certain times, with the flooded area and time series of continuous point measurements of water depth during different situations throughout the year. Because the model provides correct predictions of the surface processes both for low and high flow discharges, the simulation results are used to analyze the present floodplain hydrodynamics. In the same way, different topographic scenarios, on the basis of changes in the hydraulic river-floodplain connectivity, are generated to analyze their potentially beneficial effect in the floodplain geomorphic dynamics.
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Acknowledgments
The authors want to thank the associate editor and the anonymous reviewers, not only for the attention they paid to our work, but also for the very precious suggestions they gave us. This work has been funded by the Spanish Ministry of Science and Education under research Project no. CGL2005-07059-C02.
References
Acrement, G. C., and Schenides, V. R. (1990). “Guide for selecting manning’s roughness coefficients for natural channels and flood plains.” Water-Supply Paper No. 2339, Dept. of the Interior, U. S. Geological Survey, Reston, VA.
ArcGis 9.2 [Computer software]. (2008). Redlands, CA, ESRI.
Audusse, E., Bouchut, F., Bristeau, M. O., Klein, B., and Perthame, R. (2004). “A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows.” J. Sci. Comput.JSCOEB, 25(6), 2050–2065.
Bates, P. D., et al. (2005). “Simplified two-dimensional numerical modelling of coastal flooding and example applications.” Coastal Eng.COENDE, 52(9), 793–810.
Bates, P. D., and De Roo, A. P. J. (2000). “A simple raster-based model for flood inundation simulation.” J. Hydrol. (Amsterdam)JHYDA7, 236(1–2), 54–77.
Bates, P. D., Horritt, M. S., and Hervouet, J.-M. (1998). “Investigating two-dimensional, finite element predictions of floodplain inundation using fractal generated topography.” Hydrol. ProcessesHYPRE3, 12(8), 1257–1277.
Bates, P., Horrit, M. S., Smith, C. N., and Mason, D. (1997). “Integrating remote sensing observations of flood hydrology and hydraulic modelling.” Hydrol. ProcessesHYPRE3, 11(14), 1777–1795.
Bates, P. D., Anderson, M. G., Baird, L., Walling, D. E., and Simm, D. (1992). “Modelling floodplain flows using a two-dimensional finite element model.” Earth Surf. Processes LandformsESPLDB, 17(6), 575–588.
Bayley, P. B. (1995). “Understanding large river-floodplain ecosystems.” BioScienceBISNAS, 45(3), 153–158.
Bedient, P. B., and Huber, W. C. (1988). Hydrology and floodplain analysis, Addison-Wesley, Reading, MA.
Beffa, C., and Connell, R. J. (2001). “Two-dimensional flood plain flow. : Model description.” J. Hydrol. Eng.JHYEFF, 6(5), 397–402.
Bradford, S. F., and Sanders, B. F. (2002). “Finite-volume model for shallow water flooding of arbitrary topography.” J. Hydraul. Eng.JHEND8, 128(3), 289–298.
Brown, J. D., Spencer, T., and Moeller, I. (2007). “Modeling storm surge flooding of an urban area with particular reference to modeling uncertainties: A case study of Canvey Island, United Kingdom.” Water Resour. Res.WRERAQ, 43(6),.
Burguete, J., Garcia-Navarro, P., and Murillo, J. (2008). “Preserving bounded and conservative solutions of transport in one-dimensional shallow-water flow with upwind numerical schemes: Application to fertigation and solute transport in rivers.” Int. J. Numer. Methods Fluids, 56(9), 1731–1764.
Cabezas, A., García, M., Gallardo, B., González, E., González-Sanchis, M., and Comín, F. A. (2009). “The effect of anthropogenic disturbance on the hydrochemical characteristics of riparian wetlands at the middle Ebro River (NE Spain).” HydrobiologiaHYDRB8, 617(1), 101–116.
Cao, G., Pender, Z., and Meng, J. (2006). “Explicit formulation of the shields diagram for incipient motion of sediment.” J. Hydraul. Eng.JHEND8, 132(10), 1097–1099.
Cea, L., and Vazquez-Cendon, M. E. (2007). “Depth averaged modelling of turbulent shallow water flow with wet-dry fronts.” Arch. Comput. Methods Eng., 14(3), 303–341.
Chow, V. T. (1959). Open-channel hydraulics, McGraw-Hill, New York.
Cobby, D. M., Mason, D. C., Horritt, M. S., and Bates, P. D. (2003). “Two-dimensional hydraulic flood modelling using a finite-element mesh decomposed according to vegetation and topographic features derived from airborne scanning laser altimetry.” Hydrol. ProcessesHYPRE3, 17(10), 1979–2000.
Connell, R. J., Painter, D. J., and Beffa, C. (2001). “Two-dimensional flood plain flow. : Model validation.” J. Hydrol. Eng.JHYEFF, 6(5), 406–415.
Cook, A., and Merwade, V. (2009). “Effect of topographic data, geometric configuration and modelling approach on flood inundation mapping.” J. Hydrol. (Amsterdam)JHYDA7, 377(1–2), 131–142.
Florsheim, J. L., and Mount, J. F. (2002). “Restoration of floodplain topography by sand-splay complex formation in response to intentional levee breaches, lower Cosumnes River, California.” GeomorphologyGEMPEZ, 44(1–2), 67–94.
González, E., González-Sanchis, M., Cabezas, A., Comín, F. A., and Muller, E. (2010). “Recent changes in the riparian forest of a large regulated Mediterranean river: Implications for management.” Environ. Manage.EMNGDC, 45(4), 669–681.
González-Sanchis, M., Murillo, J., Cabezas, A., Comín, F., and García-Navarro, P. (2009). “Analysis of floodplain dynamics using numerical simulation at the middle Ebro river.” 4th Annual Meeting of the European Chapter of the Society of Wetlands Scientists (SWS), Erkner, Germany.
Hauer, F. R., and Lorang, M. S. (2004). “River regulation, decline of ecological resources, and potential for restoration in a semi-arid lands river in the western USA.” Aquat. Sci.AQSCEA, 66(4), 388–401.
Henderson, F. M. (1966). Open channel flow, MacMillan, New York.
Horritt, M. S. (2000). “Calibration of a two-dimensional finite element flood flow model using satellite radar imagery.” Water Resour. Res.WRERAQ, 36(11), 3279–3291.
Horrit, M. S., and Bates, P. D. (2002). “Evaluation of 1D and 2D numerical models for predicting river flood inundation.” J. Hydrol. (Amsterdam)JHYDA7, 268(1–4), 87–99.
Hubbard, M. E., and García-Navarro, P. (2000). “Flux difference splitting and the balancing of source terms and flux gradients.” J. Comput. Phys.JCTPAH, 165(1), 89–125.
Hunter, N. M., et al. (2008). “Benchmarking 2d hydraulic models for urban flooding.” Proc. Inst. Civ. Eng. Water Manage.CSWDAV, 161(1), 13–30.
Junk, W. J., Bayley, P. B., and Sparks, R. E. (1989). “The flood pulse concept in river-floodplain systems.” Canadian Special Publication in Fisheries and Aquatic Sciences, 106(1), 110–127.
Kuiry, D., andi Sen, S. N., and Bates, P. D. (2010). “Coupled 1D-quasi-2D flood inindation model with unstructured grids.” J. Hydraul. Eng.JHEND8, 136(8), 493–506.
Laura, R. A., and Wang, J. D. (1984). “Two-dimensional flood routing on steep slope.” J. Hydraul. Eng.JHEND8, 110(8), 1121–1135.
Liang, Q. (2010). “Flood simulation using a well-balanced shallow flow model.” J. Hydraul. Eng.JHEND8, 136(9), 669–675.
Liang, Q., and Borthwick, A. G. L. (2009). “Adaptive quadtree simulation of shallow flows with wetdry fronts over complex topography.” Comput. FluidsCPFLBI, 38(2), 221–234.
Marks, K., and Bates, P. (2000). “Integration of high-resolution topographic data with floodplain flow models.” Hydrol. ProcessesHYPRE3, 14(11–12), 2109–2122.
Martin Vide, J. P. (2002). Ingeniería de los ríos, Ediciones UPC, Barcelona.
Murillo, J., Garcia-Navarro, P., Burguete, J., and Brufau, P. (2006). “A conservative 2D model of inundation flow with solute transport over dry bed.” Int. J. Numer. Methods Fluids, 52(10), 1059–1092.
Murillo, J., García-Navarro, P., Burguete, J., and Brufau, P. (2007). “The influence of source terms on stability, accuracy and conservation in two-dimensional shallow flow simulation using triangular finite volumes.” Int. J. Numer. Methods Fluids, 54(5), 543–590.
Murillo, J., García-Navarro, P., and Burguete, J. (2009). “Conservative numerical simulation of multi-component transport in two-dimensional unsteady shallow water flow.” J. Comput. Phys.JCTPAH, 228(15), 5539–5573.
Palmeri, F., Silván, F., Prieto, I., Balboni, M., and Garcia-Mijangos, I. (2002).Manual de técnicas de ingenieréa naturaléstica en ambito fluvial, Vasc Government, Spain (in Spanish).
Poole, G. C., Stanfor, J. A., Running, S. W., Frissell, C. A., Woessner, W. W., and Ellis, B. K. (2004). “A patch hierarchy approach to modeling surface and subsurface hydrology in complex flood-plain environments.” Earth Surf. Processes LandformsESPLDB, 29(10), 1259–1274.
Rhee, D. S., Woo, H., Kwon, B. A., and Ahn, H. K. (2008). “Hydraulic resistance of some selected vegetation in open channel flows.” River Res. Appl., 24(5), 673–687.
Roe, P. L. (1986). “A basis for upwind differencing of the two-dimensional unsteady Euler equations.” Numerical methods in fluid dynamics, Vol II, Oxford University Press, Oxford, UK.
Rosatti, G., Murillo, J., and Fraccarollo, L. (2008). “Generalized Roe schemes for 1D two-phase, free-surface flows over a mobile bed.” J. Comput. Phys.JCTPAH, 227(24), 10058–10077.
Schiemer, F., Baumgartner, C., and Tockner, K. (1999). “Restoration of floodplain rivers: The Danube restoration project.” Regul. Rivers Res. Mgmt., 15(1–3), 231–244.
Schubert, J. E., Sanders, B. F., Smith, M. J., and Wright, N. G. (2008). “Unstructured mesh generation and landcover-based resistance for hydrodynamic modeling of urban flooding.” Adv. Water Resour.AWREDI, 31(12), 1603–1621.
Somes, N. L. G., Bishop, W. A., and Wong, T. H. F. (1999). “Numerical simulation of wetland hydrodynamics.” Environ. Int.ENVIDV, 25(6–7), 773–779.
Uchida, T., Kawahara, Y., and Ito, Y. (2002). “Modeling of inundation flow in urbanized area using a high-resolution method with Cartesian mesh.”Proc., Congress - IAHR Conf. 32, Vol. 1, Int. Association for Hydraulic Research, Madrid.
van Der Sande, C. J., Jong, S. M., and Roo, A. P. J. (2003). “A segmentation and classification approach of IKONOS-2 imagery for land cover mapping to assist flood risk and flood damage assessment.” Int. J. Appl. Earth Observ. Geoinform., 4(3), 217–229.
Vazquez-Cendon, M. E. (1999). “Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry.” J. Comput. Phys.JCTPAH, 148(2), 497–526.
Vreugdenhil, C. B. (1994). Numerical methods for shallow-water flow, Kluwer Academic, Dordecht, Netherlands.
Ward, J. V., Tockner, K., and Schiemer, F. (1999). “Biodiversity of floodplain river ecosystems: ecotones and connectivity.” Regul. Rivers Res. Mgmt., 15(1–3), 125–139.
Wu, W. (2007). Computational river dynamics, Taylor & Francis, London.
Zhao, D. H., Shen, H. W., Tabios, G. Q. III, Lai, J. S., and Tan, W. Y. (1994). “Finite-volume two-dimensional unsteady-flow model for river basins.” J. Hydraul. Eng.JHEND8, 120(7), 863–883.
Zhou, J. G., Causon, D. M., Mingham, C. G., and Ingram, D. M. (1988). “Principles and conditions of the movements of groundwater.” U.S. Geological Survey 19th Annual Rep. Part 2, U.S. Geological Survey, Reston, VA, 59–294.
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.JCTPAH, 168(1), 1–25.
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Published In
Journal of Hydraulic Engineering
Volume 138 • Issue 7 • July 2012
Pages: 629 - 641
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© 2012. American Society of Civil Engineers.
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Received: Mar 10, 2011
Accepted: Jan 18, 2012
Published online: Jun 15, 2012
Published in print: Jul 1, 2012
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