Evaluation of the Simplified Dynamic Wave, Diffusion Wave and the Full Dynamic Wave Flood Routing Models

Perdikaris, John; Gharabaghi, Bahram; Rudra, R. P.

doi:10.5539/esr.v7n2p14

Cited by 11 publications

(11 citation statements)

References 15 publications

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“…= 0.0543 0.5 −0.5 (5) This formula was developed from the study of 19 sub-basins, located in Scioto and Sandysky (Ohio) area. The area of the basin must be between 65 to 4,206 2 .…”

Section: Kirpich's Model [11]mentioning

confidence: 99%

“…[1,2]. According to some authors, the time of concentration can be defined as the time that a single drop of water takes to travel from the most distant point in the basins to the point of exit [3][4][5][6][7][8]. Following [3], this parameter is related to the lines of equal time of flow to the outlet, called isochrones representing the grown of contributing area to the streamflow outlet after certain time.…”

Section: Introductionmentioning

confidence: 99%

“…( 4)). In [5], the accuracy of three popular flood routing models are evaluated in Canada. They also extend the routing formulations developed by other authors (Kesking and Agiralioglu).…”

Section: Introductionmentioning

confidence: 99%

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Numerical approximation of the hydrological time of concentration

Fernández¹,

Calvo‐Jurado²

2021

Journal of Energy Systems

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The time of concentration, that is the time it takes for a single "drop of water" to move superficially from the most distant point of the watershed to the exit point, is a fundamental parameter of the hydrological analysis. Many studies have been conducted to propose empirical formulas to calculate the time of concentration. One of the best known is the Temez formula based on time series data collected in accounts in Spain with areas of less than 3,000 km 2 . This expression uses the main channel length as a parameter as in many works, for small slopes is approximated by the distance between the geographic coordinates between the starting and ending points, leading for larger catchments and slopes to approaches with a high error. In this work, using a proper discretization of the curve, by using polynomial interpolation methods, we improve the calculation of the length of the main channel and therefore, we provide a more reliable method for calculating the time of concentration using the Temez expression. We illustrate the proposed scheme with different numerical examples comparing the results with those provided by other methods.

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“…= 0.0543 0.5 −0.5 (5) This formula was developed from the study of 19 sub-basins, located in Scioto and Sandysky (Ohio) area. The area of the basin must be between 65 to 4,206 2 .…”

Section: Kirpich's Model [11]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical approximation of the hydrological time of concentration

Fernández¹,

Calvo‐Jurado²

2021

Journal of Energy Systems

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“…Over seven million people have lost their lives in floods between 1990 and 2017 in Asia alone [1,2]. Predicting flood water levels, the design of stable alluvial channels, and protecting lives and properties during major flood events is one of the greatest challenges of the 21st century [3,4]. Open channel levees are used extensively in hydraulic and environmental engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Hydraulic Modeling and Evaluation Equations for the Incipient Motion of Sandbags for Levee Breach Closure Operations

Sattar

Bonakdari

Gharabaghi

et al. 2019

Water

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Open channel levees are used extensively in hydraulic and environmental engineering applications to protect the surrounding area from inundation. However, levees may fail to produce an unsteady flow that is inherently three dimensional. Such a failure may lead to a destructive change in morphology of the river channel and valley. To avoid such a situation arising, hydraulic laboratory modeling was performed on an open channel levee breach model capturing velocity, in x, y and z plans, at selected locations in the breach. Sandbags of various shapes and sizes are tested for incipient motion by the breach flow. We found that a prism sandbag has a better hydrodynamic characteristic and more stability than spherical bags with the same weight. Experimental results are then used to evaluate existing empirical equations and to develop more accurate equations for predicting critical flow velocity at the initial stage of sandbag motion. Results showed the superior predictions a few of the equations could be considered with an uncertainty range of ±10%. These equations explained the initial failed attempts of the United States Army Corps of Engineers (USACE) for breach closure of the case study, and confirmed the experimental results are simulating the case study of breach closure.

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“…However, the most popular approach for determining T c is the NRCS velocity method. Past experience and previous studies have shown that the NRCS velocity method is considered to be the most accurate method for estimating T c for both rural and urban catchments (McCuen et al, 1984;Fang et al, 2008;Sharifi and Hosseini, 2011;Perdikaris et al, 2011Perdikaris et al, & 2018. This is primarily due to the fact that the velocity method is based on hydraulic principles, and as a result is more reliable than purely empirical equations.…”

mentioning

confidence: 99%

Reference Time of Concentration Estimation for Ungauged Catchments

Perdikaris¹,

Gharabaghi²,

Rudra³

2018

ESR

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Accurate modelling of flood flow hydrographs in ungauged catchments is a challenging task due to large errors in the estimation of its response time using existing empirical equations. The time of concentration (Tc) is a key catchment response time parameter needed for forecasting of the peak discharge rate and the timing of the flood event. At least eight different definitions have been presented in the literature for the time of concentration. In this study, a new definition of “Reference Tc” is presented along with a practical procedure for its estimation using readily available basin catchment characteristic parameters with the aim of standardizing this key parameter for practitioners. Nine different empirical models were calibrated and tested on nine catchments of the Credit River watershed, Ontario, Canada to determine which method would provide the most accurate prediction of the Reference Tc. The NRCS velocity method (1986) proved once again to be the most reliable and an accurate method. This study shows that the main reason for the higher accuracy of the NRCS velocity method predictions compared to the empirical equations is attributed to the inclusion of the Manning's roughness coefficient.

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Evaluation of the Simplified Dynamic Wave, Diffusion Wave and the Full Dynamic Wave Flood Routing Models

Cited by 11 publications

References 15 publications

Numerical approximation of the hydrological time of concentration

Numerical approximation of the hydrological time of concentration

Hydraulic Modeling and Evaluation Equations for the Incipient Motion of Sandbags for Levee Breach Closure Operations

Reference Time of Concentration Estimation for Ungauged Catchments

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