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A Numerical Model for Two-Dimensional Flood Routing in Complex Terrains

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  • George Tsakiris
  • Vasilis Bellos

Abstract

In this paper, a new powerful numerical hydrodynamic in-house model is presented and tested. The model simulates flood routing in two dimensions. It is based on the solution of Shallow Water Equations using the Finite Difference Method according to the explicit McCormack numerical scheme which has shock capturing capability. The innovation of the proposed model lies in the modification of McCormack scheme by incorporating artificial viscosity through a diffusion factor in order to avoid oscillations as proposed by various researchers. Additionally, a threshold of water depth is introduced in order to distinguish the wet and dry cells of the computational domain. The model is capable of producing maps for the inundation extent, water depths and depth-averaged water velocities. Finally, the paper presents extensive testing of the model by comparison with analytical solution, experimental results and with the output of another software package in real world flood simulation studies. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • George Tsakiris & Vasilis Bellos, 2014. "A Numerical Model for Two-Dimensional Flood Routing in Complex Terrains," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(5), pages 1277-1291, March.
    • Handle: RePEc:spr:waterr:v:28:y:2014:i:5:p:1277-1291
    DOI: 10.1007/s11269-014-0540-3
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    References listed on IDEAS

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    1. D. Parker & S. Priest, 2012. "The Fallibility of Flood Warning Chains: Can Europe’s Flood Warnings Be Effective?," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(10), pages 2927-2950, August.
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    Cited by:

    1. Ting Zhang & Ping Feng & Čedo Maksimović & Paul Bates, 2016. "Application of a Three-Dimensional Unstructured-Mesh Finite-Element Flooding Model and Comparison with Two-Dimensional Approaches," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 823-841, January.
    2. Alireza Khoshkonesh & Seyed Hossein Sadeghi & Saeed Gohari & Somayyeh Karimpour & Shahin Oodi & Silvia Francesco, 2023. "Study of Dam-Break Flow Over a Vegetated Channel With and Without a Drop," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(5), pages 2107-2123, March.
    3. G. Papaioannou & A. Loukas & L. Vasiliades & G. T. Aronica, 2016. "Flood inundation mapping sensitivity to riverine spatial resolution and modelling 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. 83(1), pages 117-132, October.
    4. Santiago Gaitan & Marie-claire ten Veldhuis & Nick Giesen, 2015. "Spatial Distribution of Flood Incidents Along Urban Overland Flow-Paths," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3387-3399, July.
    5. Francesco Macchione & Gianluca De Lorenzo & Pierfranco Costabile & Babak Razdar, 2016. "The Power Function for Representing the Reservoir Rating Curve: Morphological Meaning and Suitability for Dam Breach Modelling," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(13), pages 4861-4881, October.
    6. Hriday Mani Kalita, 2020. "A Numerical Model for 1D Bed Morphology Calculations," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4975-4989, December.
    7. Ismail Haltas & Sebnem Elçi & Gokmen Tayfur, 2016. "Numerical Simulation of Flood Wave Propagation in Two-Dimensions in Densely Populated Urban Areas due to Dam Break," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(15), pages 5699-5721, December.
    8. Ting Zhang & Ping Feng & Čedo Maksimović & Paul D. Bates, 2016. "Application of a Three-Dimensional Unstructured-Mesh Finite-Element Flooding Model and Comparison with Two-Dimensional Approaches," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 823-841, January.
    9. José Pinho & Rui Ferreira & Luís Vieira & Dirk Schwanenberg, 2015. "Comparison Between Two Hydrodynamic Models for Flooding Simulations at River Lima Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 431-444, January.
    10. J. Teng & J. Vaze & D. Dutta & S. Marvanek, 2015. "Rapid Inundation Modelling in Large Floodplains Using LiDAR DEM," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2619-2636, June.
    11. Vasilis Bellos & Ino Papageorgaki & Ioannis Kourtis & Harris Vangelis & Ioannis Kalogiros & George Tsakiris, 2020. "Reconstruction of a flash flood event using a 2D hydrodynamic model under spatial and temporal variability of storm," 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. 101(3), pages 711-726, April.
    12. Hriday Mani Kalita, 2016. "A New Total Variation Diminishing Predictor Corrector Approach for Two-Dimensional Shallow Water Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(4), pages 1481-1497, March.
    13. Hriday Kalita, 2016. "A New Total Variation Diminishing Predictor Corrector Approach for Two-Dimensional Shallow Water Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(4), pages 1481-1497, March.
    14. Vasilis Bellos & George Tsakiris, 2015. "Comparing Various Methods of Building Representation for 2D Flood Modelling In Built-Up Areas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 379-397, January.

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