Experimental validation of two-dimensional depth-averaged models for forecasting rainfall–runoff from precipitation data in urban areas

Cea, Luís; Garrido, Marta; Puertas, Jerónimo

doi:10.1016/j.jhydrol.2009.12.020

Cited by 152 publications

(119 citation statements)

References 20 publications

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“…Such a localised phenomenon of urban flooding is complex and highly three dimensional (3D). Nonetheless, 3D modelling of these events system yields prohibitive runtime costs and is currently unforeseeable at street scale in the urban environment (Cea et al 2010). Practically, it has become common to tackle modelling of sewer-to-floodplain flow interaction as a compound system consisting of 2D surface and 1D sewer-flow systems (Chen et al 2015, Lee et al 2013, Martins et al 2016, Seyoum et al 2012.…”

Section: Introductionmentioning

confidence: 99%

Validation of 2D shock capturing flood models around a surcharging manhole

Martins

Kesserwani

Rubinato

et al. 2017

Urban Water Journal

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This work offers a detailed validation of finite volume (FV) flood models in the case where horizontal floodplain flow is affected by sewer surcharge flow via a manhole. The FV numerical solution of the 2D shallow water equations is considered based on two approximate Riemann solvers, HLLC and Roe, on both quadrilateral structured and triangular unstructured mesh-types. The models are validated against a high resolution experimental data-set obtained using a physical model of a sewer system linked to a floodplain via a manhole. It was verified that the sensitivity of the models is inversely proportional to the surcharged flow/surface inflow ratio, and therefore requires more calibration from the user especially when concerned with localised modelling of sewer-to-floodplain flow. Our findings provide novel evidence that shock capturing FV-based flood models are applicable to simulate localised sewer-to-floodplain flow interaction.

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Section: Introductionmentioning

confidence: 99%

Validation of 2D shock capturing flood models around a surcharging manhole

Martins

Kesserwani

Rubinato

et al. 2017

Urban Water Journal

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“…Some authors have proposed criteria for the limitation of the size of the time step to guarantee the stability of their proposed 0ISWEsM (e.g., [29,35,43]) (see Equation (27) in [35], Equations (2.7) and (2.8) in [29] and Equations (12) and (13) in [43]). According to Equation (27) in [35], the 0ISWEsM presented in the referred papers could become unstable over fine meshes.…”

Section: Brief Overview Of the Applied Numerical Proceduresmentioning

confidence: 99%

Section: Brief Overview Of the Applied Numerical Proceduresmentioning

confidence: 99%

“…According to Equation (27) in [35], the 0ISWEsM presented in the referred papers could become unstable over fine meshes. This is the reason why the use of the same spatial discretization for a FDSWEsM and a 0ISWEsM is questionable [29,35,43]. Analyzing Equations (27) and (28) in [35], the authors of the cited paper highlight the numerical stability problems of their 0ISWEsM in cases of water at rest or flooding over smooth surfaces.…”

Section: Brief Overview Of the Applied Numerical Proceduresmentioning

confidence: 99%

“…Generally, the use of a simplified set of the governing equations reduces the computational effort [9], but some authors observed an abatement of the computational efficiency of the 0ISWEs approximation of the complete SWEs, compared to the FDSWEs, especially when high resolution meshes (i.e., 10 m or less) are used [2,37,43]. This could be due to the stability problems reminded in Section 2 [2,[35][36][37][38]43]. …”

Section: Investigation Of the Computational Costsmentioning

confidence: 99%

See 2 more Smart Citations

Comparative Analyses between the Zero-Inertia and Fully Dynamic Models of the Shallow Water Equations for Unsteady Overland Flow Propagation

Aricò

Nasello

2018

Water

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Abstract:The shallow water equations are a mathematical tool widely applied for the simulation of flow routing in rivers and floodplains, as well as for flood inundation mapping. The interest of many researchers has been focused on the study of simplified forms of the original set of equations. One of the most commonly applied simplifications consists of neglecting the inertial terms. The effects of such a choice on the outputs of the simulations of flooding events are controversial and are an important topic of debate. In the present paper, two numerical models recently proposed for the solution of the complete and zero-inertia forms of the shallow water equations, are applied to several unsteady flow routing scenarios. We simulate synthetic and laboratory scenarios of unsteady flow routing, starting from very simple geometries and gradually moving towards complex topographies. Unlike the studies of the range of validity of the zero-inertia model, based on a small perturbation of the linearized flow model, in unsteady flow propagation over irregular topographies, it is more difficult to specify criteria for the applicability of the simplified set of equations. In analyzing the role of the terms in the momentum equations, we try to understand the effect of neglecting the inertial terms in the zero-inertia formulation. We also analyze the computational costs.

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A simple and efficient unstructured finite volume scheme for solving the shallow water equations in overland flow applications

Cea

Castellet

2015

Water Resources Research

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174

120

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This paper presents the decoupled hydrological discretization (DHD) scheme for solving the shallow water equations in hydrological applications involving surface runoff in rural and urban basins. The name of the scheme is motivated by the fact that the three equations which form the two-dimensional shallow water system are discretized independently from each other and thus, the numerical scheme is decoupled in a mathematical sense. Its main advantages compared to other classic finite volume schemes for the shallow water equations are its simplicity to code and the lower computational cost per time step. The validation of the scheme is presented in five test cases involving overland flow and rainfall-runoff transformation over topographies of different complexity. The scheme is compared to the finite volume scheme of Roe (1986), to the simple inertia formulation, and to the diffusive wave model. The test cases show that the DHD scheme is able to compute subcritical and supercritical flows in rural and urban environments, and that in overland flow applications it gives similar results to the second-order scheme of Roe with a lower computational cost. The results obtained with the simple inertia and diffusive wave models are very similar to those obtained with the DHD scheme in rural basins in which the bed friction and topography dominate the flow hydrodynamics but they deteriorate in typical urban configurations in which the presence of supercritical flow conditions and small-scale patterns boost the relevance of the inertial terms in the momentum equations.

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Experimental validation of two-dimensional depth-averaged models for forecasting rainfall–runoff from precipitation data in urban areas

Cited by 152 publications

References 20 publications

Validation of 2D shock capturing flood models around a surcharging manhole

Validation of 2D shock capturing flood models around a surcharging manhole

Comparative Analyses between the Zero-Inertia and Fully Dynamic Models of the Shallow Water Equations for Unsteady Overland Flow Propagation

A simple and efficient unstructured finite volume scheme for solving the shallow water equations in overland flow applications

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