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Simplified hydraulic models for urban inundation modelling

Explore reduced complexity models for urban inundation with improved topographic data usage. Learn solutions for model oscillation issues and enhanced computational efficiency in flood modeling for urban areas.

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Simplified hydraulic models for urban inundation modelling

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  1. Simplified hydraulic models for urban inundation modelling Based on research by: Paul D. Bates1, Timothy J. Fewtrell1, Jeffrey C. Neal1, Mark A. Trigg1, Guy J-P. Schumann1 and Matthew S. Horritt2 1School of Geographical Sciences, University of Bristol, Bristol, BS8 1SS, UK 2Halcrow Ltd., Burderop Park, Swindon, Wiltshire SN4 0QD, UK

  2. Reduced complexity models of flooding • Storage cell models originally created using irregular floodplain units (Zanobetti et al., 1970) • Increased resolution of topographic data proliferated the development of regular grid versions in 2 dimensions • Models either solve uniform flow formulae (e.g. Manning’s eqn) or finite difference approximation of diffusion wave (e.g. Bradbrook et al., 2004) • Hunter et al. (2004) noted a number of problems with storage cell model type approach • If the time step was too large, “chequerboard” oscillations will develop • Hunter et al. (2005) proposed a solution to these problems by a von Neumann stability analysis of the diffusion wave equation • However, as a result of the stability condition, computation time increases quadratically with increasing grid resolution Computationally intractable for high resolution grids required for urban flood modelling

  3. Testing: Planar surface

  4. Testing: Wetting and drying

  5. Testing: Model efficiency Over 600x increase in time step → 1000x increase in computational speed

  6. Model development: OpenMP

  7. Application: Dead Run, Baltimore, US (July ‘04)

  8. Application: Uncertain loss estimates

  9. Application: Tewkesbury, UK (Summer ‘07)

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