Comparing the performance of a 2‐D finite element and a 2‐D finite volume model of floodplain inundation using airborne SAR imagery

The performances of a finite volume model (SFV) and finite element model (TELEMAC‐2D) in reproducing inundation on a 16 km reach of the river Severn, United Kingdom, are compared. Predicted inundation extents are compared with 4 airborne synthetic aperture radar images of a major flood event in November 2000, and these are used to calibrate 2 values of Manning's n for the channel and floodplain. The four images are shown to have different capacities to constrain roughness parameters, with the image acquired at low flow rate doing better in determining these parameters than the image acquired at approximately peak flow. This is assigned to the valley filling nature of the flood and the associated insensitivity of flood extent to changes in water level. The level of skill demonstrated by the models, when compared with inundation derived using a horizontal water free surface, also increases as flow rate drops. The two models show markedly different behaviours to the calibration process, with TELEMAC showing less sensitivity and lower optimum values for Manning's n than SFV. When the models are used in predictive mode, calibrated against one image and predicting another, SFV performs better than TELEMAC. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  V. T. Chow Open-channel hydraulics , 1959 .

[2]  G. Marchuk Methods of Numerical Mathematics , 1982 .

[3]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[4]  N Oreskes,et al.  Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences , 1994, Science.

[5]  D. Zhao,et al.  Approximate Riemann solvers in FVM for 2D hydraulic shock wave modeling , 1996 .

[6]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[7]  M. Berzins,et al.  An unstructured finite-volume algorithm for predicting flow in rivers and estuaries , 1998 .

[8]  C. Dawson,et al.  A Godunov-type finite volume method for the system of shallow water equations , 1998 .

[9]  Matthew S. Horritt,et al.  A statistical active contour model for SAR image segmentation , 1999, Image Vis. Comput..

[10]  M. Horritt Calibration of a two‐dimensional finite element flood flow model using satellite radar imagery , 2000 .

[11]  P. Bates,et al.  Integration of high-resolution topographic data with floodplain flow models. , 2000 .

[12]  P. Bates,et al.  A simple raster-based model for flood inundation simulation , 2000 .

[13]  Pilar García-Navarro,et al.  International Journal for Numerical Methods in Fluids Two-dimensional Dam Break Flow Simulation , 2022 .

[14]  M. S. Horritt,et al.  Development of physically based meshes for two‐dimensional models of meandering channel flow , 2000 .

[15]  P. Bates,et al.  Effects of spatial resolution on a raster based model of flood flow , 2001 .

[16]  D. Mason,et al.  Image processing of airborne scanning laser altimetry data for improved river flood modelling , 2001 .

[17]  D. Mason,et al.  Flood boundary delineation from Synthetic Aperture Radar imagery using a statistical active contour model , 2001 .

[18]  P. Bates,et al.  Predicting floodplain inundation: raster‐based modelling versus the finite‐element approach , 2001 .

[19]  Robert J. Connell,et al.  Two-Dimensional Flood Plain Flow. I: Model Description , 2001 .

[20]  Terry Marsh,et al.  The UK Floods of 2000–2001: A Hydrometeorological Appraisal , 2002 .

[21]  M. S. Horritt,et al.  Evaluating wetting and drying algorithms for finite element models of shallow water flow , 2002 .

[22]  P. Bates,et al.  Evaluation of 1D and 2D numerical models for predicting river flood inundation , 2002 .

[23]  Paul D. Bates,et al.  Floodplain friction parameterization in two‐dimensional river flood models using vegetation heights derived from airborne scanning laser altimetry , 2003 .

[24]  Paul D. Bates,et al.  Optimal use of high‐resolution topographic data in flood inundation models , 2003 .

[25]  M. Horritt Development and testing of a simple 2D finite volume model of sub‐critical shallow water flow , 2004 .

[26]  Stuart N. Lane Roughness – time for a re-evaluation? , 2005 .

[27]  P. Bates,et al.  Reach scale floodplain inundation dynamics observed using airborne synthetic aperture radar imagery: Data analysis and modelling , 2006 .

[28]  S. Lane,et al.  Urban fluvial flood modelling using a two‐dimensional diffusion‐wave treatment, part 1: mesh resolution effects , 2006 .

[29]  Stuart N. Lane,et al.  Urban fluvial flood modelling using a two‐dimensional diffusion‐wave treatment, part 2: development of a sub‐grid‐scale treatment , 2006 .