Flood Simulation Using a Well-Balanced Shallow Flow Model
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 9
Abstract
This work extends and improves a one-dimensional shallow flow model to two-dimensional (2D) for real-world flood simulations. The model solves a prebalanced formulation of the fully 2D shallow water equations, including friction source terms using a finite volume Godunov-type numerical scheme. A reconstruction method ensuring nonnegative depth is used along with a Harten, Lax, and van Leer approximate Riemann solver with the contact wave restored for calculation of interface fluxes. A local bed modification method is proposed to maintain the well-balanced property of the algorithm for simulations involving wetting and drying. Second-order accurate scheme is achieved by using the slope limited linear reconstruction together with a Runge-Kutta time integration method. The model is applicable to calculate different types of flood wave ranging from slow-varying inundations to extreme and violent floods, propagating over complex domains including natural terrains and dense urban areas. After validating against an analytical case of flow sloshing in a domain with a parabolic bed profile, the model is applied to simulate an inundation event in a floodplain in Thamesmead near London. The numerical predictions are compared with analytical solutions and alternative numerical results.
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Acknowledgments
This work is supported by the U.K. Engineering and Physical Sciences Research Council (EPSRC) through Grant No. EPSRC-GBEP/F030177/1. The writer would like to thank Professor Gary Pender and Dr. Sylvain Néelz from the Heriot-Watt University for providing the DEM and TUFLOW results for the Thamesmead case.
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Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 9 • September 2010
Pages: 669 - 675
Copyright
© 2010 ASCE.
History
Received: Feb 9, 2009
Accepted: Mar 10, 2010
Published online: Mar 12, 2010
Published in print: Sep 2010
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