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Fast Solution of Diffusive Shallow Water Equations for Real Time Flood Prediction

Author(s): Costanza Arico; Marco Sinagra; Angelica Tarpanelli; Tommaso Moramarco; Tullio Tucciarelli; .

Linked Author(s): Tullio Tucciarelli

Keywords: No Keywords

Abstract: effects, besides flood protection works, flood warning systems are adopted to facilitate evacuation of people and property. In this context, real time flooding scenarios are of great interest for the civil protection purposes. However, at the present, high computational efforts of two-dimensional hydraulic models make these models not properly suitable for real time applications. The paper aim is to investigate the reliability of an explicit type, diffusive two-dimensional hydraulic model for real time flooding-prone area assessment. The proposed model allows the use of a triangular irregular network for spatial discretization and is based on a marching in time and space approach. The forward prediction and correction steps do not display any numerical instability, even with the use of very large time steps. A new semi-analytical solution is introduced for the solution of the prediction step. The linear system associated to the correction step is very well conditioned and can be solved with the aid of parallel computing. The low required computational effort makes it able to be implemented into a Flood Forecasting System identifying the flood threats in a timely manner. An historical flooding prone area located in Central Italy is used as case study, where accurate topographical surveys of the cross sections along the river crossing the study area are available. Computational time of the model runs, carried out using upstream discharge forecasted hydrographs and a standard one processor computer, is one order of magnitude smaller than the extent of the simulated scenario.

DOI:

Year: 2010

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