Urban Flood Modeling in Equivalent Porous Media Using a Diffusive Approach
DOI:
https://doi.org/10.70567/mc.v42.ocsid8506Keywords:
Urban flooding, Diffusion model, Equivalent porous medium, HomogenizationAbstract
This work proposes a diffusive hydrodynamic modeling approach based on representing the city as an equivalent porous medium, in which buildings, walls, and other infrastructures are accounted for in the permeability tensor and the porosity of the medium. The developed model is numerically solved using the Finite Element Method, and the results are compared with those obtained through a detailed modeling of the street network. The findings show that the proposed approach combines computational efficiency and practical applicability for the study of urban flooding in large domains.
References
Balaian, S.K., Sanders, B.F. y Abdolhosseini Qomi, M.J., How urban form impacts flooding. Nature Communications, 2024. https://doi.org/10.1038/s41467-024-50347-4
Boni, S., Huang, H. y Zhu, W., An urban pluvial flood simulation model based on diffusive wave approximation of shallow water equations. Hydrology Research, 50(1):138–154, 2019. https://doi.org/10.2166/nh.2017.233
Bruwiera M., Mustafac A., Aliaga D.G., Archambeau, P., Erpicuma, S., Nishida, G., Zhang, X.W., Pirotton, M., Teller, J. y Dewalsa, B., Influence of urban pattern on inundation flow in floodplains of lowland rivers. Science of the Total Environment, 2018. https://doi.org/10.1016/j.scitotenv.2017.11.325
Chen A.S., Evans B., Djordjevic S. y Savic D.A., A coarse-grid approach to representing building blockage effects in 2D urban flood modelling. Journal of Hydrology, 426:1–16, 2012.
Huang C.-J., Hsu M.-H., Teng W.-H. y Wang Y.-H., The impact of building coverage in the metropolitan area on the flow calculation. Water, 6:2449–2466, 2014. https://doi.org/10.3390/w6082449
Iliadis C., Glenis V. y Kilsby C., Representing buildings and urban features in hydrodynamic flood models. Journal of Flood Risk Management, 2023. https://doi.org/10.1111/jfr3.12950
Cortínez V.H., Dominguez P.N. y Stoklas C.I., Modelo continuo anisótropo de tráfico urbano: una formulación evolutiva. Mecánica Computacional, XLI:831–840, 2024.
Ferrari A. y Viero D.P., Floodwater pathways in urban areas: a method to compute porosity fields for anisotropic subgrid models in differential form. Journal of Hydrology, 2020. https://doi.org/10.1016/j.jhydrol.2020.125193
FlexPDE (Versión 7.22) PDE Solutions Inc. (2020). [Software]. www.pdesolutions.com
Guo K., Guan M. y Yu D., Urban surface water flood modelling – a comprehensive review of current models and future challenges. Hydrology and Earth System Sciences, 25:2843–2860, 2021. https://doi.org/10.5194/hess-25-2843-2021
Petaccia G., Soares-Frazao S. y Natale L., Simplified versus detailed two-dimensional approaches to transient flow modeling in urban areas. Journal of Hydraulic Engineering, 136:262–266, 2010. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000154
Velickovic M., Zech Y. y Soares-Frazão S., Steady-flow experiments in urban areas and anisotropic porosity model. Journal of Hydraulic Research, 2016. https://doi.org/10.1080/00221686.2016.1238013
Wang H., Peng C., Li W., Ding C., Ming T. y Zhou N., Porous media: A faster numerical simulation method applicable to real urban communities. Urban Climate, 38(13):100865, 2021. https://doi.org/10.1016/j.uclim.2021.100865
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