Impacts of small scale rainfall variability in urban areas: a case study with 1D and 1D/2D hydrological models in a multifractal framework

References

• Abbes, J.B., 2013. Hydrological modelling of the Loup catchment  (MSc Intership Thesis). Ecole des Ponts ParisTech.
   Google Scholar
• Allison, INSA Lyon, & SOGREAH Consultants, 2005. Manuel d'utilisation de Canoe. Retrieved from www.canoe-hydro.com.
   Google Scholar
• Aronica, G. and Cannarozzo, M., 2000. Studying the hydrological response of urban catchments using a semi-distributed linear non-linear model. Journal of Hydrology, 238, 35–43.
   Web of Science ®Google Scholar
• Douglas, E. and Barros, A., 2003. Probable maximum precipitation estimation using multifractals: application in the Eastern United States. Journal of Hydrometeorology, 4, 1012–1024.
   Web of Science ®Google Scholar
• El Tabach, E., Tchiguirinskaia, I., Mahmood, O., and Schertzer, D., 2009, November. Multi-Hydro: a spatially distributed numerical model to assess and manage runoff processes in peri-urban watersheds. In: E. Pasche, N. Evelpidou, C. Zevenbergen, R. Ashley and S. Garvin, eds. Final Conference of the COST Action C22, Road map towards flood resilient Urban Environment, Paris, France. Hamburger Wasserbau-Schriften.
   Google Scholar
• Giangola-Murzyn, A., Gires, A., Hoang, C.T., Tchiguirinskaia, I., and Schertzer, D., 2012, September. Multi-Hydro: physically based modelling to assess flood resilience across scales, case studies in Paris region. Proceedings of 10th Urban Drainage conference, Belgrade, Serbia. Faculty of Civil Engineering, University of Belgrade. Retrieved from http://hikom.grf.bg.ac.rs/9UDM/.
   Google Scholar
• Gires, A., Onof, C., Maksimovic, C., Schertzer, D., Tchiguirinskaia, I., and Simoes, N., 2012a. Quantifying the impact of small scale unmeasured rainfall variability on urban hydrology through multifractal downscaling: a case study. Journal of Hydrology, 442–443, 117–128.
   Google Scholar
• Gires, A., Tchiguirinskaia, I., Schertzer, D., and Lovejoy, S., 2012b. Multifractal analysis of an urban hydrological model on a Seine-Saint-Denis study case. Urban Water Journal, 10 (3), 195–208.
   Web of Science ®Google Scholar
• Gires, A., Tchiguirinskaia, I., Schertzer, D., and Lovejoy, S., 2011. Analyses multifractales et spatio-temporelles des précipitations du modéle Méso-NH et des données radar. Hydrological Science Journal, 56 (3), 380–396.
   Web of Science ®Google Scholar
• Gires, A., Tchiguirinskaia, I., Schertzer, D., and Lovejoy, S., 2013. Development and analysis of a simple model to represent the zero rainfall in a universal multifractal framework. Nonlinear Processes in Geophysics, 20, 343–356.
   Web of Science ®Google Scholar
• Gires, A., Tchiguirinskaia, I., Schertzer, D., Schellart, A., Berne, A., and Lovejoy, S., 2014. Influence of small scale rainfall variability on standard comparison tools between radar and rain gauge data. Atmospheric Research, 138, 125–138.
   Web of Science ®Google Scholar
• Hsu, M.H., Chen, S.H., and Chang, T.J., 2000. Inundation simulation for urban drainage basin with storm sewer system. Journal of Hydrology, 234, 27–31.
   Web of Science ®Google Scholar
• Hubert, P., et al., 1993. Multifractals and extreme rainfall events. Geophysics Letters, 20, 931–934.
   Web of Science ®Google Scholar
• Jankowfsky, S., 2011. Understanding and modelling of hydrological processes in small peri-urban catchments using an object-oriented and modular distributed approach. Application to the Chaudanne and Mercier sub-catchments (Yzeron catchment, France)  (PhD Thesis). Lyon, France.
   Google Scholar
• de Lima, M.I.P. and de Lima, J., 2009. Investigating the multifractality of point precipitation in the Madeira archipelago. Nonlinear Processes in Geophysics, 16 (2), 299–311.
   Web of Science ®Google Scholar
• de Montera, L., Barthes, L., Mallet, C., and Gole, P., 2009. The effect of rain-no rain intermittency on the estimation of the universal multifractals model parameters. Journal of Hydrometeorology, 10 (2), 493–506.
   Web of Science ®Google Scholar
• Leandro, J., Chen, A., Djordjević, S., and Savić, D., 2009. Comparison of 1D/1D and 1D/2D coupled (sewer/surface) hydraulic models for urban flood simulation. Journal of Hydraulic Engineering, 135 (6), 495–504.
   Web of Science ®Google Scholar
• Lovejoy, S. and Schertzer, D., 2010. On the simulation of continuous in scale universal multifractals, part I: Spatially continuous processes. Computers & Geosciences, 36 (11), 1393–1403.
   Web of Science ®Google Scholar
• Maksimović, Č., Prodanović, D., Boonya-aroonnet, S., Leitão, J.P., Djordjević, S., and Allitt, R., 2009. Overland flow and pathway analysis for modelling of urban pluvial flooding. Journal of Hydraulic Research, 47 (4), 512–523.
   Web of Science ®Google Scholar
• Mandapaka, P.V., Lewandowski, P., Eichinger, W.E., and Krajewski, W.F., 2009. Multiscaling analysis of high resolution space-time lidar-rainfall. Nonlinear Processes in Geophysics, 16 (5), 579–586.
   Web of Science ®Google Scholar
• Pecknold, S., Lovejoy, S., Schertzer, D., Hooge, C., and Malouin, J.F., 1993. The simulation of universal multifractals. In: J.M. Perdang and A. Lejeune, eds. Cellular Automata: Prospects in astrophysical applications. Singapore: World Scientific, 228–267.
   Google Scholar
• Richard, J., Tchiguirinskaia, I., and Schertzer, D., 2012, July. GIS data Assimilation interface for distributed hydrological models. Proceedings Hydro-Informatics Conference, Hamburg, Germany.
   Google Scholar
• Rodriguez, F., Andrieu, H., and Morena, F., 2008. A distributed hydrological model for urbanized areas - model development and application to case studies. Journal of Hydrology, 351, 268–287.
   Web of Science ®Google Scholar
• Rossman, L.A., 2010. Storm Water Management Model, User's Manual, version 5.0. Washington, DC: U.S. Environmental Protection Agency, EPA/600/R-05/040.
   Google Scholar
• Royer, J.F., et al., 2008. Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario. C.R. Geoscience, 340, 431–440.
   Web of Science ®Google Scholar
• Schertzer, D. and Lovejoy, S., 1987. Physical modelling and analysis of rain and clouds by anisotropic scaling and multiplicative processes. Journal of Geophysical Research, 92 (D8), 9693–9714.
   Web of Science ®Google Scholar
• Schertzer, D. and Lovejoy, S., 2011. Multifractals, Generalized Scale Invariance and Complexity in Geophysics. International Journal of Bifurcation and Chaos, 21 (12), 3417–3456.
   Web of Science ®Google Scholar
• Schüetze, M., Campisano, A., Colas, H., Schilling, W., and Vanrollegheme, P.A., 2004. Real time control of urban wastewater systems—where do we stand today? Journal of Hydrology, 299, 335–348.
   Web of Science ®Google Scholar
• Segond, M.L., Wheater, H.S., and Onof, C., 2007. The significance of small-scale spatial rainfall variability on runoff modeling. Journal of Hydrology, 173, 309–326.
   Google Scholar
• Singh, V.P., 1997. Effect of spatial and temporal variability in rainfall and watershed characteristics on stream flow hydrograph. Hydrology Processes, 11, 1649–1669.
   Web of Science ®Google Scholar
• Tabary, P., 2007. The new French operational radar rainfall product. Part I: Methodology. Weather and Forecasting, 22, 393–408.
   Web of Science ®Google Scholar
• Tabary, P., Desplats, J., Do Khac, K., Eideliman, F., Gueguen, C., and Heinrich, J.C., 2007. The new French operational radar rainfall product. Part II: Validation. Weather and Forecasting, 22, 409–427.
   Web of Science ®Google Scholar
• Velleux, M.L., England, J.F., and Julien, P.Y., 2011. TREX watershed modelling framework user's manual: model theory and description. Fort Collins, CO: Department of Civil Engineering, Colorado State University.
   Google Scholar
• Verrier, S., de Montera, L., Barthes, L., and Mallet, C., 2010. Multifractal analysis of African monsoon rain fields, taking into account the zero rain-rate problem. Journal of Hydrology, 389 (1–2), 111–120.
   Web of Science ®Google Scholar