scholarly journals Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity

2016 ◽  
Vol 541 ◽  
pp. 1165-1184 ◽  
Author(s):  
Ilhan Özgen ◽  
Jiaheng Zhao ◽  
Dongfang Liang ◽  
Reinhard Hinkelmann
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Flood Modeling ◽  
Urban Flood

scholarly journals Urban flood modeling with porous shallow-water equations: A case study of model errors in the presence of anisotropic porosity

2015 ◽  
Vol 523 ◽  
pp. 680-692 ◽  
Author(s):  
Byunghyun Kim ◽  
Brett F. Sanders ◽  
James S. Famiglietti ◽  
Vincent Guinot
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Model Errors ◽  
Flood Modeling ◽  
Urban Flood

scholarly journals Urban Stormwater Modeling with Local Inertial Approximation Form of Shallow Water Equations: A Comparative Study

2021 ◽  
Author(s):  
Weiqi Wang ◽  
Wenjie Chen ◽  
Guoru Huang
Keyword(s):  
Shallow Water ◽  
Computational Efficiency ◽  
Environmental Protection Agency ◽  
Shallow Water Equations ◽  
Drainage System ◽  
Flood Modeling ◽  
Urban Stormwater ◽  
Urban Flood ◽  
Storm Water Management Model ◽  
Form Model

AbstractThis study focused on the performance and limitations of the local inertial approximation form model (LIM) of the shallow water equations (SWEs) when applied in urban flood modeling. A numerical scheme of the LIM equations was created using finite volume method with a first-order spatiotemporal Roe Riemann solver. A simplified urban stormwater model (SUSM) considering surface and underground dual drainage system was constructed based on LIM and the US Environmental Protection Agency Storm Water Management Model. Moreover, a complete urban stormwater model (USM) based on the SWEs with the same solution algorithm was used as the evaluation benchmark. Numerical results of the SUSM and USM in a highly urbanized area under four rainfall return periods were analyzed and compared. The results reveal that the performance of the SUSM is highly consistent with that of the USM but with an improvement in computational efficiency of approximately 140%. In terms of the accuracy of the model, the SUSM slightly underestimates the water depth and velocity and is less accurate when dealing with supercritical flow in urban stormwater flood modeling. Overall, the SUSM can produce comparable results to USM with higher computational efficiency, which provides a simplified and alternative method for urban flood modeling.

scholarly journals Two-Dimensional Shallow-Water Model with Porosity for Urban Flood Modeling

Proceedings ◽  
2018 ◽  
Vol 2 (20) ◽  
pp. 1307
Author(s):  
Malika Benslimane ◽  
Saâdia Benmamar ◽  
André Paquier
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Urban Areas ◽  
Large Scale ◽  
Momentum Equation ◽  
Water Model ◽  
Finite Volume Scheme ◽  
Two Dimensional ◽  
Flood Modeling ◽  
Urban Flood

In the world, floods are at the forefront of natural hazard. Urban areas are often at risk of flooding and just as often unprepared for management. Flood modeling is nowadays a very important topic in the theme of water, it inevitably involves the numerical resolution of the shallow water equations derived from the Navier Stocks equations governing flows. Two-dimensional shallow water models with porosity appear as an interesting path for the large-scale modeling of floodplains with urbanized areas. The porosity accounts for the reduction in storage and in the exchange sections due to the presence of buildings and other structures in the floodplain. The introduction of a porosity into the two-dimensional shallow water equations leads to modified expressions for the fluxes and source terms. An extra source term appears in the momentum equation. The developed solution method consists in solving the two-dimensional shallow water equations with porosity via a finite volume scheme solving the conservative form of the equations which can be reduced to a calculation of flux through an edge, a problem that can be approached by a one-dimensional problem in the normal direction at the edge (Riemann problem).

Integral formulation of shallow-water equations with anisotropic porosity for urban flood modeling

2008 ◽  
Vol 362 (1-2) ◽  
pp. 19-38 ◽  
Author(s):  
Brett F. Sanders ◽  
Jochen E. Schubert ◽  
Humberto A. Gallegos
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Integral Formulation ◽  
Flood Modeling ◽  
Urban Flood

scholarly journals Improving the stability of a simple formulation of the shallow water equations for 2-D flood modeling

2012 ◽  
Vol 48 (5) ◽  
Author(s):  
Gustavo A. M. de Almeida ◽  
Paul Bates ◽  
Jim E. Freer ◽  
Maxime Souvignet
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Flood Modeling ◽  
Simple Formulation ◽  
The Stability

Upscaled shallow water modeling with SW2D-Lemon for urban flood simulation

2021 ◽  
Author(s):  
Joao Guilherme Caldas Steinstraesser ◽  
Carole Delenne ◽  
Pascal Finaud-Guyot ◽  
Vincent Guinot ◽  
Joseph Luis Kahn Casapia ◽  
...  
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Solid Phase ◽  
Academic Research ◽  
Water Model ◽  
Graphic User Interface ◽  
Flood Simulation ◽  
Urban Flood ◽  
Transport Reaction ◽  
Head Losses

<p>We present a new multi-OS platform named SW2D-LEMON (SW2D for Shallow Water 2D) developed by the LEMON research team in Montpellier.</p><p>SW2D-LEMON is a multi-model software focusing on shallow water-based models. It includes an unprecedented collection of upscaled (porosity) models used for shallow water equations and transport-reaction processes. Porosity models are obtained by averaging the two-dimensional shallow water equations over large areas containing both a water and a solid phase. The size of a computational cell can be increased by a factor 10 to 50 compared to a 2D shallow water model, with CPU times reduced by 2 to 3 orders of magnitude. Applications include urban flood simulations as well as flows over complex topography. Besides the standard shallow water equations (the default model), several porosity models are included in the platform: (i) Single Porosity, (ii) Dual Integral Porosity, (iii) Depth-dependent Porosity. Various flow processes (friction, head losses, wind, momentum diffusion, precipitation/infiltration) can be included in a modular way by activating specific execution flags.</p><p>Classical input data are required by SW2D-Lemon software: mesh file (several formats available) with elements having an arbitrary number of edges; geometric and hydraulic parameter fields: bathymetry, porosity, Boussinesq/Coriolis momentum distribution coefficient, friction coefficient fields, etc.; initial and boundary conditions (several types available) and forcings (wind, rainfall).</p><p>SW2D can be used in two ways: in command-line mode or via a dedicated graphic user interface (GUI). Both features are available on all Windows, MacOS and Linux operating systems. SW2D is available under three license modes: Academic Research (source code, developer manual and basic configurations are freely available in the framework of a scientific partnership with the LEMON team), Industry and education.</p><p>Various real-world test cases will be presented to illustrate the potential of SW2D and the contribution of porosity based models to urban flood modelling:</p><ul>- Flood simulation on Sacramento city induced by the breach of a dike;</ul><ul>- Marine submersion on Valras Plage;</ul><ul>- Fast rain flood on the Abidjan Riviera district.</ul><p> </p>

scholarly journals Porosity Models for Large-Scale Urban Flood Modelling: A Review

Water ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 960
Author(s):  
Benjamin Dewals ◽  
Martin Bruwier ◽  
Michel Pirotton ◽  
Sebastien Erpicum ◽  
Pierre Archambeau
Keyword(s):  
Shallow Water ◽  
Flow Resistance ◽  
Large Scale ◽  
Model Formulation ◽  
Flood Modeling ◽  
Urban Flood ◽  
Flow Models ◽  
Speed Up ◽  
Shallow Water Models ◽  
Urban Flood Modelling

In the context of large-scale urban flood modeling, porosity shallow-water models enable a considerable speed-up in computations while preserving information on subgrid topography. Over the last two decades, major improvements have been brought to these models, but a single generally accepted model formulation has not yet been reached. Instead, existing models vary in many respects. Some studies define porosity parameters at the scale of the computational cells or cell interfaces, while others treat the urban area as a continuum and introduce statistically defined porosity parameters. The porosity parameters are considered either isotropic or anisotropic and depth-independent or depth-dependent. The underlying flow models are based either on the full shallow-water equations or approximations thereof, with various flow resistance parameterizations. Here, we provide a review of the spectrum of porosity models developed so far for large-scale urban flood modeling.

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