An exploratory approach to teaching gradually varied flow

Karney, Bryan W.; Malekpour, Ahmad; Salehi, Hasti

doi:10.1016/j.jher.2010.04.006

Cited by 1 publication

(2 citation statements)

References 12 publications

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“…In the problem statement of computing the length of GVF profiles, Q channel geometries including canal bottom width (b), channel side slope (z), S 0 , and n are the given information, while L is meant to be estimated. e distance of varied flows is a determinant parameter in various water engineering problems, such as determining the location of hydraulic jump [13], predicting budget of channel design [24,25], and estimating backwater impacts on hydraulic structures [26]. For instance, the influence length of GVF profiles propagating from a uniform or critical depth has been investigated in the literature [11,27].…”

Section: Problem Statement Of Gvf Profilementioning

confidence: 99%

“…In other words, water depths at two cross-sections of the same profile are given while the distance between these two sections (L) is unknown. According to the literature review, various attempts for solving this problem may be categorized into several groups based on their methods: (1) semianalytical methods [1,2], (2) analytical solutions [3][4][5][6][7], (3) numerical schemes [8][9][10][11], (4) artificial intelligence (AI) models [12], and (5) optimization techniques [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Assessment of Artificial Intelligence Models for Estimating Lengths of Gradually Varied Flow Profiles

2021

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The study of water surface profiles is beneficial to various applications in water resources management. In this study, two artificial intelligence (AI) models named the artificial neural network (ANN) and genetic programming (GP) were employed to estimate the length of six steady GVF profiles for the first time. The AI models were trained using a database consisting of 5154 dimensionless cases. A comparison was carried out to assess the performances of the AI techniques for estimating lengths of 330 GVF profiles in both mild and steep slopes in trapezoidal channels. The corresponding GVF lengths were also calculated by 1-step, 3-step, and 5-step direct step methods for comparison purposes. Based on six metrics used for the comparative analysis, GP and the ANN improve five out of six metrics computed by the 1-step direct step method for both mild and steep slopes. Moreover, GP enhanced GVF lengths estimated by the 3-step direct step method based on three out of six accuracy indices when the channel slope is higher and lower than the critical slope. Additionally, the performances of the AI techniques were also investigated depending on comparing the water depth of each case and the corresponding normal and critical grade lines. Furthermore, the results show that the more the number of subreaches considered in the direct method, the better the results will be achieved with the compensation of much more computational efforts. The achieved improvements can be used in further studies to improve modeling water surface profiles in channel networks and hydraulic structure designs.

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