Optimal Channel Cross Section with Composite Roughness

Das, Amlan

doi:10.1061/(asce)0733-9437(2000)126:1(68)

Cited by 54 publications

(55 citation statements)

References 4 publications

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“…After introducing the characteristics of a parabolic-bottomed triangle cross section, the ,best' hydraulic cross section for the geometry was determined by using the undetermined multipliers method of Lagrange. In another study, for channels with composite roughness, an equivalent uniform roughness coefficient and flow geometric elements were used to formulate the optimal channel design depending on the Manning equation in a nonlinear optimization framework; the objective function being a cost function per unit length of the canal [6]. A GA based optimization model was developed initially to determine the factor of safety of a channel slope for given soil parameters in Bhattacharjya and Satish [7].…”

Section: Existing Literature On Canal Flow Modelingmentioning

confidence: 99%

Flow Discharge Modeling in Open Canals Using a New Fuzzy Modeling Technique (SMRGT)

Toprak¹

2009

CLEAN Soil Air Water

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The main goal of this study was to research the answer to two important questions in flow modeling; i) how to optimally design the cross-section of an open channel for a given flow, and ii) in the case of selecting the fuzzy method for modeling, how to construct the membership functions (MFs) and fuzzy rules (FRs) such that the system yields the best results. The first question is answered in order to minimize difficulties in excavation and related costs by using the appropriate flow velocity. To provide the best answer researchers use several methods. The second question is answered in order to minimize model error. For this aim, there are many algorithms proposed by researchers in the literature. In this paper, the fuzzy logic method was used for open canal flow modeling. Furthermore, a simple membership function and fuzzy rule generation technique (SMRGT) is introduced, and used for fuzzy modeling. Two fuzzy models, each for different cross-sectional shape, are presented in this study as an application of SMRGT. The comparison depends on various statistics, mean absolute relative error, and contour maps showed that the fuzzy models were successful in open channel flow modeling and SMRGT is useful for MF (membership function) and FR (fuzzy rule) generation.

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Section: Existing Literature On Canal Flow Modelingmentioning

confidence: 99%

Flow Discharge Modeling in Open Canals Using a New Fuzzy Modeling Technique (SMRGT)

Toprak¹

2009

CLEAN Soil Air Water

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“…Swamee et al [7,8] proposed an approach for optimal open channel design where seepage losses were also considered. Das [9] proposed an optimization model for the design of trapezoidal channels, which considers the flooding probability; the same author [10] proposed an optimization strategy to design open channels with composite lining along the perimeter. Jain et al [11] considered spatial variations of the velocity across a proposed composite channel cross section, and approximated the solution to this problem using a Genetic Algorithm (GA).…”

Section: Introductionmentioning

confidence: 99%

An Innovative Approach for Drainage Network Sizing

Cozzolino

Cimorelli

Covelli

et al. 2015

Water

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Abstract:In this paper, a procedure for the optimal design of rural drainage networks is presented and demonstrated. The suggested approach, exploring the potentialities offered by heuristic methods for the solution of complex optimization problems, is based on the use of a Genetic Algorithm (GA), coupled with a steady and uniform flow hydraulic module. In particular, this work has focused: on one hand, on the problems of a technical nature posed by the correct sizing of a drainage network; on the other hand, on the possibility to use a simple but nevertheless efficient GA to reach the minimal cost solution very quickly. The suitability of the approach is tested with reference to small and large scale drainage networks, already considered in the literature.

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“…The use of more than one lining material along the channel perimeter is a common practice suggested by many researchers in the past (for e.g., Trout 1982;Das 2000) to achieve cost effectiveness in open channel design. Such channels are known as 'composite channels' (Chow 1959) and channels with uniform roughness along the perimeter can be considered as a special case of composite channels.…”

Section: Introductionmentioning

confidence: 99%

“…This formulation neglects the excavation cost and considers only the minimization of lining cost. Das (2000) determined the optimal trapezoidal channel crosssection with composite roughness using classical optimization technique involving Lagrange multipliers (LM). Stochastic global optimization techniques are proven to be efficient in solving the complex-non linear optimization model for the design of composite trapezoidal channels (Jain et al 2004;Nourani et al 2009;Adarsh and Janga Reddy 2010).…”

Section: Introductionmentioning

confidence: 99%

Modeling parametric uncertainty in optimal open channel design using FORM-PGSL coupled approach

Adarsh¹

2011

Stoch Environ Res Risk Assess

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Optimal design of artificial open channels is essential for the planning and management of irrigation projects. In this paper a modified formulation is presented for the comprehensive design of open channels considering the seepage loss, evaporation loss and land acquisition cost along with the lining and excavation cost. The resulting formulation is solved using a recent meta-heuristic optimization technique namely probabilistic global search Lausanne (PGSL). The uncertainty associated with channel design parameter may lead to the failure of canals (channels). The parametric uncertainty in open channel design is modeled using first order reliability method (FORM). A bi-objective optimization model is presented in the study which minimizes the cost and minimizes the probability of overtopping considering a probabilistic cost function as the objective function. A new approach is proposed to solve the model in a meta-heuristic environment following PGSL as the solution method. Also a chance constrained optimization model which considers overtopping probability constraint and channel capacity constraint simultaneously along with the objective of minimization of cost is propounded and solved using PGSL. The solutions obtained using coupled FORM-PGSL approach is encouraging and the method can be used for optimal and reliable design of artificial open channels.

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Optimal Channel Cross Section with Composite Roughness

Cited by 54 publications

References 4 publications

Flow Discharge Modeling in Open Canals Using a New Fuzzy Modeling Technique (SMRGT)

Flow Discharge Modeling in Open Canals Using a New Fuzzy Modeling Technique (SMRGT)

An Innovative Approach for Drainage Network Sizing

Modeling parametric uncertainty in optimal open channel design using FORM-PGSL coupled approach

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