Rectangular side weirs discharge coefficient estimation in circular channels using linear genetic programming approach

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  author =       "Ali Uyumaz and Ali {Danandeh Mehr} and Ercan Kahya and 
                 Hilal Erdem",
  title =        "Rectangular side weirs discharge coefficient
                 estimation in circular channels using linear genetic
                 programming approach",
  journal =      "Journal of Hydroinformatics",
  year =         "2014",
  volume =       "16",
  number =       "6",
  pages =        "1318--1330",
  month =        nov,
  keywords =     "genetic algorithms, genetic programming, linear
                 genetic programming, circular channels, discharge
                 measurement, side weirs",
  URL =          "",
  DOI =          "doi:10.2166/hydro.2014.112",
  abstract =     "Side weirs are diversion structures extensively used
                 in irrigation, flood protection and combined sewer
                 systems. Accurate estimation of the discharge
                 coefficient (Cd) of side weirs is essential to compute
                 the water surface profile over the weirs and to
                 determine the lateral outflow rate from the system. In
                 this paper, we have used a linear genetic programming
                 (LGP) technique to develop new empirical formulas for
                 the estimation of Cd of sharp-edged rectangular side
                 weirs located in circular channels. For this aim, we
                 have employed a total of 1,686 laboratory experimental
                 observations in both sub- and supercritical flow
                 regimes in order to train and validate the proposed
                 models. The performance of the LGP-based models was
                 also compared with those of different multilinear and
                 nonlinear regression models in terms of root mean
                 squared errors, mean absolute errors, and determination
                 coefficient. The results indicated that an explicit
                 LGP-based model using only mathematical functions could
                 be employed successfully in Cd estimation in both sub-
                 and supercritical flow conditions. Genetic-based
                 sensitivity analysis among the input parameters
                 demonstrated that Froude number at upstream of the weir
                 has the most impact on the Cd estimation.",
  notes =        "IWA Publishing.

                 International Association for Hydro-Environment
                 Engineering and Research. International Association of
                 Hydrological Sciences",

Genetic Programming entries for Ali Uyumaz Ali Danandeh Mehr Ercan Kahya Hilal Erdem