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Three-dimensional flood routing of a dam break based on a high-precision digital model of a dense urban area

Author

Listed:
  • Xiaoling Wang

    (Tianjin University)

  • Wenlong Chen

    (Tianjin University)

  • Zhengyin Zhou

    (Tianjin University)

  • Yushan Zhu

    (Tianjin University)

  • Cheng Wang

    (Tianjin University)

  • Zhen Liu

    (Tianjin University)

Abstract

Dense buildings are the major factor affecting urban flood routing. Currently, the study of urban dam-break flood routing primarily focuses on a simplified terrain model and 2D shallow water equations, which ignore the effects of dense urban buildings. Furthermore, the complex interactions between the dam-break wave and the wall surfaces of buildings are not reflected in the results. To tackle these problems, three-dimensional flood routing with a high-precision digital model of an urban area is studied in this paper. Firstly, the vector data of various land types is extracted from a remote sensing image, and the NURBS algorithm based on the TIN algorithm is introduced to construct a three-dimensional terrain model. Coupled with the vector data and the terrain model, a three-dimensional digital model of the urban area is established. Next, a three-dimensional $$k{-}\varepsilon$$ k - ε turbulence model is proposed for the flood routing simulation. A polyhedral grid with a second-order accuracy and a discrete format is used to divide the digital model of the urban area, and the governing equations are solved using the PISO algorithm. Finally, the superiority of the 3D mathematical model and the computational efficiency of the polyhedral mesh model are validated according to the urban flood routing experiments of Testa and Soares-Frazão. An urban reservoir, located in SZ City, China, is modelled to show that a dam-break flood in an urban area exhibits significant three-dimensional characteristics. Moreover, due to the surrounding buildings, the flood exhibits complex three-dimensional turbulence phenomena, including collision, reflection and vortices.

Suggested Citation

  • Xiaoling Wang & Wenlong Chen & Zhengyin Zhou & Yushan Zhu & Cheng Wang & Zhen Liu, 2017. "Three-dimensional flood routing of a dam break based on a high-precision digital model of a dense urban area," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 86(3), pages 1147-1174, April.
  • Handle: RePEc:spr:nathaz:v:86:y:2017:i:3:d:10.1007_s11069-016-2734-x
    DOI: 10.1007/s11069-016-2734-x
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    References listed on IDEAS

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    1. Pierfranco Costabile & Francesco Macchione & Luigi Natale & Gabriella Petaccia, 2015. "Flood mapping using LIDAR DEM. Limitations of the 1-D modeling highlighted by the 2-D approach," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 77(1), pages 181-204, May.
    2. Zhengyin Zhou & Xiaoling Wang & Ruirui Sun & Xuefei Ao & Xiaopei Sun & Mingrui Song, 2014. "Study of the comprehensive risk analysis of dam-break flooding based on the numerical simulation of flood routing. Part II: Model application and results," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 72(2), pages 675-700, June.
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    6. Ruirui Sun & Xiaoling Wang & Zhengyin Zhou & Xuefei Ao & Xiaopei Sun & Mingrui Song, 2014. "Study of the comprehensive risk analysis of dam-break flooding based on the numerical simulation of flood routing. Part I: model development," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 73(3), pages 1547-1568, September.
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    Cited by:

    1. Maity, Somnath & Sundar, S., 2022. "A coupled model for macroscopic behavior of crowd in flood induced evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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