Numerical simulation of flood inundation processes by 2D shallow water equations

  • Zhang Xinhua Email author
  • Long Wenfei 
  • Xie Heping 
  • Zhu Jiahua 
  • Wang Jiangping 
Research Article


In order to strengthen flood risk management in a river basin, to upgrade the capability of flood control, and to reduce the loss of lives and properties in urban areas, a numerical simulation model using 2D shallow water equations was proposed in this study. A satisfactory result has been obtained by applying the model in the Fuji River basin in central Japan. The result indicates that the numerical simulation model proposed can be adopted not only in the risk management of a river basin, but also in the study of real-time operations of rescue jobs and evacuation routes in a municipal region suffering from a serious flooding event.


shallow water equations flood inundated area inundated water depth 


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  1. 1.
    Berz G. Flood disaster: Lessons from the past-worries for the future. Water and Maritime Engineering, 2000, 142(1): 1–10MathSciNetGoogle Scholar
  2. 2.
    Tan Weiyan. Computational Shallow Water Hydrodynamics. Beijing: Tsinghua University Press, 1998 (in Chinese)Google Scholar
  3. 3.
    Akanbi A A, Katopodes N D. Model for flood propagation on initial dry land. Hydraulic Engineering, ASCE, 1988, 114(7): 689–706CrossRefGoogle Scholar
  4. 4.
    Fennema R T, Chaudhry M H. Explicit methods for 2D transient free-surface flow. Hydraulic Engineering, ASCE, 1990, 116(11): 1 013–1 014.Google Scholar
  5. 5.
    Garcia R, Kahawita R A. Numerical solution of the St. Venant Equations with Maccormack Finite Difference Scheme. Numerical Methods in Fluids, 1986, 6: 507–527CrossRefGoogle Scholar
  6. 6.
    Katopodes N D, Strelkoff R. Computing two-dimentional dam-break flood waves. Hydraulic Division, ASCE, 1978, 104(9): 1 269–1 288Google Scholar
  7. 7.
    Zhao D H, Shen H W, Tabios III G Q, Lai J S, Tan W Y. A finite volume two-dimentional unsteady flow model for river basins. Hydraulic Engineering, ASCE, 1994, 20(7): 863–883CrossRefGoogle Scholar
  8. 8.
    Zhao D H, Shen H W, Lai J S, Tabios III G Q. Approximate Riemann Solvers in FVM for 2D hydraulic shock wave problems. Hydraulic Engineering, 1996, 122: 692–702CrossRefGoogle Scholar
  9. 9.
    Yoon T H, Kang S K. Finite volume model for two-dimentional shallow water flows on unstructured grids. Hydraulic Engineering, 2004, 130(7): 678–688CrossRefGoogle Scholar
  10. 10.
    Zhou J G, Causon D M, Mingham C G, Ingram D M. Numerical prediction of dam-break flows in general geometries with complex bed topography. Hydraulic Engineering, 2004, 130(4): 332–340CrossRefGoogle Scholar
  11. 11.
    Lin G F, Lai J S, Guo W D. Finite-volume component-wise TVD Schemes for 2D shallow water equations. Advance in Water Resources, 2003, 26: 861–873CrossRefGoogle Scholar
  12. 12.
    Fraccarollo L, Toro E F. Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems. Hydraulic Research, 1999, 33: 843–864CrossRefGoogle Scholar
  13. 13.
    Zhang X H. Numerical simulation methods for large scale flood inundation. Ph D Dissertation. Japan: Yamanashi University, 2004Google Scholar
  14. 14.
    Zhang X H, Oishi S, Ishidaira H, Takeuchi K. Practical aspects in the simulation of flood inundation using 2D shallow water equations on a complex land-cover. Japan Society of Hydrology and Water Resources, 2003, 16(5): 501–517Google Scholar
  15. 15.
    Zhang X H, Ishidaira H, Takeuch K. Simulation the effects of high sediment-laden inundation flow on the variations of floodplain in the lower Yellow River basin. Annual Journal of Hydraulic Engineering, JSCE, 2004, 48: 595–600Google Scholar
  16. 16.
    Iwasa Y, Inoue K, Mizutori M. Hydraulic analysis of overland flood flows by means of numerical method. Disaster Prevention Research Institute, Kyoto University, Annuals, 1980, 23(B-2): 305–317 (in Japanese)Google Scholar

Copyright information

© Higher Education Press and Springer-Verlag 2007

Authors and Affiliations

  • Zhang Xinhua 
    • 1
    Email author
  • Long Wenfei 
    • 2
  • Xie Heping 
    • 2
  • Zhu Jiahua 
    • 3
  • Wang Jiangping 
    • 4
  1. 1.State Key Laboratory of Hydraulics & Mountain River EngineeringSichuan UniversityChengduChina
  2. 2.College of Water Resources & HydropowerSichuan UniversityChengduChina
  3. 3.College of Chemical EngineeringSichuan UniversityChengduChina
  4. 4.Guizhou Hongfu Industry & Commerce Development Co. Ltd.FuquanChina

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