Reverse flow routing by the implicit method

Eli, Robert N.; Wiggert, James M.; Contractor, D. N.

doi:10.1029/wr010i003p00597

Cited by 18 publications

(10 citation statements)

References 2 publications

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“…Eli et al (1974), Szymkiewicz (1993) and Bruen and Dooge (2007) approached this inverse problem on the basis of the equations of St. Venant, which they inverted via direct reverse-routing (finite differences); the procedure was found to be sensitive (oscillations) to the discretisation parameters and to the channel bed slope and wave frequency, collapsing fairly rapidly at low slopes and/or high frequencies. Koussis et al (2012) reoriented the Muskingum routing scheme to step back sequentially; they found also in this case grid design to be important, although that routing scheme is more robust than reverse solvers of the St. Venant equations.…”

Section: Reverse Routing Of Flood Wavesmentioning

confidence: 99%

“…Reverse routing is an ill-posed, inverse problem on which few publications have appeared since the contribution of Eli et al (1974). Eli et al (1974), Szymkiewicz (1993) and Bruen and Dooge (2007) approached this inverse problem on the basis of the equations of St. Venant, which they inverted via direct reverse-routing (finite differences); the procedure was found to be sensitive (oscillations) to the discretisation parameters and to the channel bed slope and wave frequency, collapsing fairly rapidly at low slopes and/or high frequencies.…”

Section: Reverse Routing Of Flood Wavesmentioning

confidence: 99%

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Reverse flood and pollution routing with the lag-and-route model

Koussis

Mazi

2016

Hydrological Sciences Journal

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Section: Reverse Routing Of Flood Wavesmentioning

confidence: 99%

Section: Reverse Routing Of Flood Wavesmentioning

confidence: 99%

Reverse flood and pollution routing with the lag-and-route model

Koussis

Mazi

2016

Hydrological Sciences Journal

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“…Floods are substantial natural hazards worldwide due to their destructive impacts on societies and the resulting economic losses [1][2][3][4]; flood management is even more critical for decreasing the disastrous effects [5][6][7][8][9][10] in real-life problems in developing countries such as Turkey [11], China [12,13], and Malaysia [14,15], as well as developed countries such as the USA [16] and Italy [17]. Practical flood management strategies include upstream adjustments [18][19][20], flood defense infrastructure [21][22][23][24], and downstream substructures [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A Stochastic Conflict Resolution Optimization Model for Flood Management in Detention Basins: Application of Fuzzy Graph Model

Nematollahi

Bakhtiari

Talebbeydokhti

et al. 2022

Water

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Floods are a natural disaster of significant concern because of their considerable damages to people’s livelihood. To this extent, there is a critical need to enhance flood management techniques by establishing proper infrastructure, such as detention basins. Although intelligent models may be adopted for flood management by detention basins, there is a literature gap on the optimum design of such structures while facing flood risks. The presented study filled this research gap by introducing a methodology to obtain the optimum design of detention basins using a stochastic conflict resolution optimization model considering inflow hydrographs uncertainties. This optimization model was developed by minimizing the conditional value-at-risk (CvaR) of flood overtopping, downstream flood damage, and deficit risk of water demand, as well as the deviation of flood overtopping and downstream damage based on non-linear interval number programming (NINP), for four different outlets types via a robust optimization tool, namely the non-dominated sorting genetic algorithm-III (NSGA-III). Conflict resolution was performed using the graph model for conflict resolution (GMCR) technique, enhanced by fuzzy preferences, to comply with the authorities’ priorities. Results indicated that the proposed framework could effectively design optimum detention basins consistent with the regional and hydrological standards.

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“…Ferrari et al: Discharge hydrograph estimation at upstream-ungauged sections reverse form of the Saint Venant equations (e.g. Eli et al, 1974;Szymkiewicz, 1993;Dooge and Bruen, 2005;Bruen and Dooge, 2007) and the back-oriented application of hydrological routing schemes (e.g. Das, 2009;Koussis et al, 2012;Koussis and Mazi, 2016).…”

Section: Introductionmentioning

confidence: 99%

Discharge hydrograph estimation at upstream-ungauged sections by coupling a Bayesian methodology and a 2-D GPU shallow water model

Ferrari

D’Oria

Vacondio

et al. 2018

Hydrol. Earth Syst. Sci.

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Abstract. This paper presents a novel methodology for estimating the unknown discharge hydrograph at the entrance of a river reach when no information is available. The methodology couples an optimization procedure based on the Bayesian geostatistical approach (BGA) with a forward self-developed 2-D hydraulic model. In order to accurately describe the flow propagation in real rivers characterized by large floodable areas, the forward model solves the 2-D shallow water equations (SWEs) by means of a finite volume explicit shock-capturing algorithm. The two-dimensional SWE code exploits the computational power of graphics processing units (GPUs), achieving a ratio of physical to computational time of up to 1000. With the aim of enhancing the computational efficiency of the inverse estimation, the Bayesian technique is parallelized, developing a procedure based on the Secure Shell (SSH) protocol that allows one to take advantage of remote high-performance computing clusters (including those available on the Cloud) equipped with GPUs. The capability of the methodology is assessed by estimating irregular and synthetic inflow hydrographs in real river reaches, also taking into account the presence of downstream corrupted observations. Finally, the procedure is applied to reconstruct a real flood wave in a river reach located in northern Italy.

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Reverse flow routing by the implicit method

Cited by 18 publications

References 2 publications

Reverse flood and pollution routing with the lag-and-route model

Reverse flood and pollution routing with the lag-and-route model

A Stochastic Conflict Resolution Optimization Model for Flood Management in Detention Basins: Application of Fuzzy Graph Model

Discharge hydrograph estimation at upstream-ungauged sections by coupling a Bayesian methodology and a 2-D GPU shallow water model

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