Flood mapping using LIDAR DEM. Limitations of the 1-D modeling highlighted by the 2-D approach

Nowadays, the use of 2-D fully dynamic models represents the most reliable approach for flood inundation and flood hazard studies, especially in complex applications. However, 1-D modeling is still a widely used approach due to the reduced computational time and cost. The introduction of LIDAR technique has stimulated a more detailed topographic description of river reaches. As a result, this huge amount of topographic data can lead to significant improvements in the 1-D computations. Therefore, the main purpose of this paper is to realize how the improvements in the topographic description can reduce the difference between 1-D and 2-D models, highlighting at the same time the critical aspects and the limitations of 1-D approach in the hydraulic simulation as well as in the spatial representation of the results. The analysis presented in the paper refers to two actual case studies for which terrestrial and airborne LIDAR DEMs were collected on purpose. The results of those applications show that the use of 1-D models requires a greater hydraulic skilfulness than the use of 2-D model.

[1]  F. Macchione,et al.  Two-dimensional numerical simulation of flood propagation in presence of buildings , 2006 .

[2]  Martin J. Baptist,et al.  Floodplain roughness parameterization using airborne laser scanning and spectral remote sensing , 2008 .

[3]  Terhi Helmiö,et al.  Unsteady 1D flow model of compound channel with vegetated floodplains , 2002 .

[4]  Matthew D. Wilson,et al.  Case Study of the Use of Remotely Sensed Data for Modeling Flood Inundation on the River Severn, U.K. , 2008 .

[5]  Pierfranco Costabile,et al.  Enhancing river model set-up for 2-D dynamic flood modelling , 2015, Environ. Model. Softw..

[6]  P. Bates,et al.  Optimal Cross-Sectional Spacing in Preissmann Scheme 1D Hydrodynamic Models , 2009 .

[7]  P. Bates,et al.  Identifiability of distributed floodplain roughness values in flood extent estimation , 2005 .

[8]  G. Petaccia,et al.  Flood wave propagation in steep mountain rivers , 2013 .

[9]  C. Chatterjee,et al.  Comparison of hydrodynamic models of different complexities to model floods with emergency storage areas , 2008 .

[10]  A. W. Western,et al.  An analysis of the influence of riparian vegetation on the propagation of flood waves , 2006, Environ. Model. Softw..

[11]  Pierfranco Costabile,et al.  Comparative analysis of overland flow models using finite volume schemes , 2012 .

[12]  E. Toro Shock-Capturing Methods for Free-Surface Shallow Flows , 2001 .

[13]  Chung-Yi Wu,et al.  Flash flood routing modeling for levee-breaks and overbank flows due to typhoon events in a complicated river system , 2011 .

[14]  Francesco Macchione,et al.  Model for Predicting Floods due to Earthen Dam Breaching. II: Comparison with Other Methods and Predictive Use , 2008 .

[15]  E. Bladé,et al.  Quasi-Two Dimensional Modelling of Flood Routing in Rivers and Flood Plains by Means of Storage Cells , 1994 .

[16]  José M. Mantas,et al.  GPU computing for shallow water flow simulation based on finite volume schemes , 2011 .

[17]  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 .

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

[19]  Francesco Macchione,et al.  Practical aspects in comparing shock-capturing schemes for dam break problems , 2003 .

[20]  F. Macchione,et al.  Simple modelling of dam failure in a natural river , 2004 .

[21]  L. Natale,et al.  REPRESENTING SKEWED BRIDGE CROSSING ON 1-D AND 2-D FLOOD PROPAGATION MODELS:COMPARED ANALYSIS IN PRACTICAL STUDIES , 2014 .

[22]  J. Cunge,et al.  Practical aspects of computational river hydraulics , 1980 .

[23]  André Paquier,et al.  Modelling flash flood propagation in urban areas using a two-dimensional numerical model , 2009 .

[24]  G. Petaccia,et al.  ORSADEM: A ONE‐DIMENSIONAL SHALLOW WATER CODE FOR FLOOD INUNDATION MODELLING , 2013 .

[25]  Alessio Domeneghetti,et al.  Identifying robust large-scale flood risk mitigation strategies: A quasi-2D hydraulic model as a tool for the Po river , 2011 .

[26]  Khalid Mahmood,et al.  Unsteady flow in open channels , 1975 .

[27]  S. Lane,et al.  A comparison of one‐ and two‐dimensional approaches to modelling flood inundation over complex upland floodplains , 2007 .

[28]  V. Merwade,et al.  Effect of topographic data, geometric configuration and modeling approach on flood inundation mapping , 2009 .

[29]  Jie Yin,et al.  Multiple scenario analyses of Huangpu River flooding using a 1D/2D coupled flood inundation model , 2013, Natural Hazards.

[30]  R. Panda,et al.  One Dimensional Hydrodynamic Modeling of River Flow Using DEM Extracted River Cross-sections , 2010 .

[31]  V. R. Schneider,et al.  GUIDE FOR SELECTING MANNING'S ROUGHNESS COEFFICIENTS FOR NATURAL CHANNELS AND FLOOD PLAINS , 1989 .

[32]  Attilio Castellarin,et al.  Probability-weighted hazard maps for comparing different flood risk management strategies: a case study , 2009 .

[33]  F. Savi,et al.  Monte Carlo analysis of probability of inundation of Rome , 2007, Environ. Model. Softw..

[34]  Kenneth W. Lamb,et al.  Using large‐scale climatic patterns for improving long lead time streamflow forecasts for Gunnison and San Juan River Basins , 2013 .

[35]  F. Huthoff,et al.  Interacting divided channel method for compound channel flow , 2008 .

[36]  R. Lamb,et al.  A fast two-dimensional floodplain inundation model , 2009 .

[37]  Stephen E. Darby,et al.  The use of one- and two-dimensional hydraulic modelling to reconstruct a glacial outburst flood in a steep Alpine valley , 2008 .

[38]  P. Alho,et al.  Comparing a 1D hydraulic model with a 2D hydraulic model for the simulation of extreme glacial outburst floods , 2008 .

[39]  P. Bates,et al.  Coupled 1D–Quasi-2D Flood Inundation Model with Unstructured Grids , 2010 .

[40]  Jonathan L. Goodall,et al.  Comparison of Flood Top Width Predictions Using Surveyed and LiDAR-Derived Channel Geometries , 2010 .

[41]  Paul D. Bates,et al.  Adjustment of a spaceborne DEM for use in floodplain hydrodynamic modeling , 2012 .

[42]  Gareth Pender,et al.  Flow Resistance and Momentum Flux in Compound Open Channels , 2006 .

[43]  Fabio Castelli,et al.  Satellite multispectral data for improved floodplain roughness modelling , 2011 .

[44]  Herve Morvan,et al.  Unsteady 1D and 2D hydraulic models with ice dam break for Quaternary megaflood, Altai Mountains, southern Siberia , 2010 .

[45]  I. Villanueva,et al.  Linking Riemann and storage cell models for flood prediction , 2006 .

[46]  Paul D. Bates,et al.  Flood-plain mapping: a critical discussion of deterministic and probabilistic approaches , 2010 .

[47]  Mauricio Sánchez-Silva,et al.  Calibration of floodplain roughness and estimation of flood discharge based on tree-ring evidence and hydraulic modelling , 2011 .

[48]  Javier Murillo,et al.  Influence of mesh structure on 2D full shallow water equations and SCS Curve Number simulation of rainfall/runoff events , 2012 .

[49]  Emmanuel Obuobie,et al.  Floodplain hydrodynamic modelling of the Lower Volta River in Ghana , 2017 .

[50]  Ignacio Escuder-Bueno,et al.  A quantitative flood risk analysis methodology for urban areas with integration of social research data , 2012 .

[51]  Paul D. Bates,et al.  How much physical complexity is needed to model flood inundation? , 2012 .

[52]  Paul D. Bates,et al.  A comparison of three parallelisation methods for 2D flood inundation models , 2010, Environ. Model. Softw..

[53]  Brett F. Sanders,et al.  ParBreZo: A parallel, unstructured grid, Godunov-type, shallow-water code for high-resolution flood inundation modeling at the regional scale , 2010 .

[54]  E. Bladé,et al.  Integration of 1D and 2D finite volume schemes for computations of water flow in natural channels , 2012 .

[55]  Javier Murillo,et al.  Flood wave simulation with 1D-2D coupled models. , 2010 .

[56]  B Russo,et al.  Methodologies to study the surface hydraulic behaviour of urban catchments during storm events. , 2011, Water science and technology : a journal of the International Association on Water Pollution Research.

[57]  Benjamin Dewals,et al.  Micro-scale flood risk analysis based on detailed 2D hydraulic modelling and high resolution geographic data , 2010 .

[58]  A. Paquier,et al.  Modeling floods in a dense urban area using 2D shallow water equations , 2006 .

[59]  Donald W. Knight,et al.  The concept of roughness in fluvial hydraulics and its formulation in 1D, 2D and 3D numerical simulation models , 2008 .

[60]  Norbert Pfeifer,et al.  Optimisation of LiDAR derived terrain models for river flow modelling , 2008 .

[61]  F. Dottori,et al.  Detailed data is welcome, but with a pinch of salt: Accuracy, precision, and uncertainty in flood inundation modeling , 2013 .

[62]  Jochen E. Schubert,et al.  Building treatments for urban flood inundation models and implications for predictive skill and modeling efficiency , 2012 .

[63]  Pierfranco Costabile,et al.  Analysis of One-Dimensional Modelling for Flood Routing in Compound Channels , 2012, Water Resources Management.

[64]  F. Macchione,et al.  A storm event watershed model for surface runoff based on 2D fully dynamic wave equations , 2013 .

[65]  Terhi Helmiö,et al.  Unsteady 1D flow model of a river with partly vegetated floodplains - application to the Rhine River , 2005, Environ. Model. Softw..

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

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

[68]  G. Petaccia,et al.  Simplified versus Detailed Two-Dimensional Approaches to Transient Flow Modeling in Urban Areas , 2010 .

[69]  Didier Bousmar,et al.  Nonuniform flow in compound channel: A 1‐D method for assessing water level and discharge distribution , 2009 .

[70]  Martin F. Lambert,et al.  Comparison of modelling approaches used in practical flood extent modelling , 2007 .