Reducing Computational Runtime of Two-Dimensional Urban Inundation Model by Dynamic Domain Reshaping
Publication: Journal of Hydrologic Engineering
Volume 21, Issue 6
Abstract
Coupling rainfall-runoff and one-dimensional (1D)/two-dimensional (2D) hydrologic models provides the current state-of-the-art approach for predicting the extent of urban inundation, although the computational cost for running 2D models is still a major concern. This paper presents a procedure to dynamically reshape 2D numeric domain according to flooding extent evolution. The numeric domain is updated at each selected time step for reshaping (TSR) and includes grid elements directly connected to the 1D stormwater network, flooded grid elements, or grid elements within a buffer distance threshold (BDT) identified in both previous criteria. Results for an urban catchment in South Brazil are presented considering two spatial resolutions and three return-period rainfall events. An optimal relation between TSR and BDT was found and resulted in runtime savings greater than 86% in comparison to adopting a fixed boundary as catchment limits, and greater than 69% in comparison to using a fixed boundary below the 70-m elevation (which represents the maximum elevation reached by the 100-year flood). The major concepts of the proposed algorithm are straightforward and could be tested in similar 2D models.
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Acknowledgments
The work reported in this paper was funded by the Brazilian agency CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) through research grants 472769/2012-0 and 304956/2013-9, and by a scholarship provided to the second and third authors. We acknowledge the LABGEO (Laboratório de Geoprocessamento, Centro de Ecologia) of the Universidade Federal do Rio Grande do Sul (UFRGS) and Prof. Alfonso Risso from IPH-UFRGS for providing the digital elevation model used in this study.
References
Allasia, D. G., Tassi, R., Neves, M. G. F. P., Villanueva, A. O. N., Tucci, C. E. M., and Cruz, M. A. S. (2003). “Estudo de caso: Plano Diretor de Drenagem Urbana de Porto Alegre/RS.” Proc., XV Simpósio Brasileiro de Recursos Hídricos, Associação Brasileira de Recursos Hídricos, Curitiba, Brazil (in Portuguese).
Bach, P. M., Rauch, W., Mikkelsen, P. S., Mccarthy, D. T., and Deletic, A. (2014). “A critical review of integrated urban water modelling—Urban drainage and beyond.” Environ. Modell. Software, 54, 88–107.
Bates, P. D., and De Roo, A. P. (2000). “A simple raster-based model for flood inundation simulation.” J. Hydrol., 236(1–2), 54–77.
Beffa, C., and Connell, R. J. (2001). “Two-dimensional flood plain flow. I: Model description.” J. Hydrol. Eng., 397–405.
Bradbrook, K. (2006). “JFLOW: A multiscale two-dimensional dynamic flood model.” Water Environ. J., 20(2), 79–86.
Chang, T.-J., Wang, C.-H., and Chen, A. S. (2015). “A novel approach to model dynamic flow interactions between storm sewer system and overland surface for different land covers in urban areas.” J. Hydrol., 524, 662–679.
Chen, A. S., Evans, B., Djordjević, S., and Savić, D. A. (2012). “A coarse-grid approach to representing building blockage effects in 2D urban flood modeling.” J. Hydrol., 426–427, 1–16.
Cruz, M. A., Tucci, C. E. M. (2008). “Planning scenarios assessment in urban drainage [Avaliação dos cenários de planejamento na drenagem urbana].” Revista Brasileira de Recursos Hídricos, 13(3), 59–71 (in Portuguese).
Dottori, F., Di Baldassarre, G., and Todini, E. (2013). “Detailed data is welcome, but with a pinch of salt: Accuracy, precision, and uncertainty in flood inundation modeling.” Water Resour. Res., 49(9), 6079–6085.
Feng, K., and Molz, F. J. (1997). “A 2-D, diffusion based, wetland flow model.” J. Hydrol., 196(1–4), 230–250.
Ghimire, B., Chen, A. S., Guidolin, M., Keedwell, E. C., Djordjević, S., and Savić, D. A. (2013). “Formulation of a fast 2D urban pluvial flood model using a cellular automata approach.” J. Hydroinform., 15(3), 676–686.
Hsu, M. H., Chen, S. H., and Chang, T. J. (2000). “Inundation simulation for urban drainage basin with storm sewer system.” J. Hydrol., 234(1–2), 21–37.
Judi, D. R., Burian, S. J., and McPherson, T. N. (2011). “Two-dimensional fast-response flood modeling: Desktop parallel computing and domain tracking.” J. Comput. Civ. Eng., 184–191.
Lamb, R., Crossley, M., and Waller, S. (2009). “A fast two-dimensional floodplain inundation model.” Proc. Inst. Civ. Eng. Water Manage., 162(6), 363–370.
Leandro, J., Chen, A. S., and Schumann, A. (2014). “A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave).” J. Hydrol., 517, 250–259.
Manfreda, S., et al. (2014). “Investigation on the use of geomorphic approaches for the delineation of flood prone areas.” J. Hydrol., 517, 863–876.
Martin, J. L., and McCutcheon, S. C. (1999). Hydrodynamics and transport for water quality modeling, Lewis, Boca Raton, FL.
Medeiros, S. C., and Hagen, S. C. (2013). “Review of wetting and drying algorithms for numerical tidal flow models.” Int. J. Numer. Methods in Fluids, 71(4), 473–487.
Neal, J., Fewtrell, T., and Trigg, M. (2009). “Parallelisation of storage cell flood models using OpenMP.” Environ. Model. Software, 24(7), 872–877.
Ozdemir, H., Sampson, C. C., de Almeida, G. A. M., and Bates, P. D. (2013). “Evaluating scale and roughness effects in urban flood modelling using terrestrial LIDAR data.” Hydrol. Earth Syst. Sci., 17(10), 4015–4030.
Pathirana, A., Tsegaye, S., Gersonius, B., and Vairavamoorthy, K. (2011). “A simple 2-D inundation model for incorporating flood damage in urban drainage planning.” Hydrol. Earth Syst. Sci., 15(8), 2747–2761.
Paz, A. R., Collischonn, W., Tucci, C. E. M., and Padovani, C. R. (2011a). “Large-scale modelling of channel flow and floodplain inundation dynamics and its application to the Pantanal (Brazil).” Hydrol. Processes, 25(9), 1498–1516.
Paz, A. R., Meller, A., and Silva, G. B. L. (2011b). “Coupled 1D-2D hydraulic simulation of urban drainage systems: Model development and preliminary results.” Proc., 12nd Int. Conf. on Urban Drainage, International Water Association, Porto Alegre, Brazil.
Saiki, E. M., and Biringen, S. (1996). “Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method.” J. Comput. Phys., 123(2), 450–465.
Serra, L. S., and Paz, A. R. (2013). “Determinação de caminhos de fluxo em área urbana com incorporação do traçado das ruas.” Proc., XVI Simpósio Brasileiro de Sensoriamento Remoto, Sociedade Brasileira de Sensoriamento Remoto, Foz do Iguaçu, Brazil, 5713–5720 (in Portuguese).
Shepherd, W., Blanksby, J., Doncaster, S., Poole, T. (2001). “Quantifying the effect of buildings and surface roughness on 2D flood modelling.” Proc., 12thInt. Conf. on Urban Drainage, International Water Association, Porto Alegre, Brazil.
Shuster, W. D., Bonta, J., Thurston, H., Warnemuende, E., and Smith, D. R. (2005). “Impacts of impervious surface on watershed hydrology: A review.” Urban Water J., 2(4), 263–275.
Tucci, C. E. M., Zamanillo, E. A., and Passinato, H. D. (1989). “Sistema de simulação precipitação-vazão IPHS1.” Recursos Hídricos—Publicação 20, Instituto de Pesquisas Hidráulicas, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil (in Portuguese).
Zhang, S., and Pan, B. (2014). “An urban storm-inundation simulation method based on GIS.” J. Hydrol., 517, 260–268.
Zhou, F., Chen, G., Huang, Y., Yang, J. Z., and Feng, H. (2013). “An adaptive moving finite volume scheme for modeling flood inundation over dry and complex topography.” Water Resour. Res., 49(4), 1914–1928.
Zoppou, C. (2001). “Review of urban storm water models.” Environ. Modell. Software, 16(3), 195–231.
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Published In
Journal of Hydrologic Engineering
Volume 21 • Issue 6 • June 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jul 27, 2015
Accepted: Dec 29, 2015
Published online: Mar 9, 2016
Published in print: Jun 1, 2016
Discussion open until: Aug 9, 2016
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