- author = "S. Sharifi and M. Sterling and D. W. Knight",
- title = "Prediction of end-depth ratio in open channels using genetic programming",
- journal = "Journal of Hydroinformatics",
- year = "2010",
- volume = "13",
- number = "1",
- pages = "36--48",
- keywords = "genetic algorithms, genetic programming, data modelling, evolutionary algorithms, free overfall, open channel flow",
- ISSN = "1464-7141",
-
URL = "
http://www.iwaponline.com/jh/013/0036/0130036.pdf",
-
DOI = "
doi:10.2166/hydro.2010.087",
- size = "13 pages",
- abstract = "In this paper, genetic programming (GP) is used as an effective model induction tool to solve a classic problem in open channel flow: the free over fall. By applying GP to experimental data of circular channels with a flat bed and employing a model selection procedure, a reliable expression in the form of h_c = A h_e exp(B sqrt(S_0)) is found for calculating the critical depth (hc) and end-depth ratio (EDR). Further effort is made to verify the applicability and superiority of this expression for channels with other cross sections. This global expression not only outperforms other expressions in estimating the critical depth, it is also dimensionally correct (unlike some other applications of GP) and can be used for channels with any cross-section and any flow regime.",
-
notes = "nappe, waterfall, weir, brink edge section part
region. Sterling 1998. 2 foot by 1 foot cross section
70 foot long. GPLAB matlab.
page 47: '1. The expression appears to be universal and as such can be applied to channels with different geometries and flow regimes (subcritical and supercritical).
2. The expression is dimensionally correct.
3. Its overall performance is better than any other proposed empirical relationship.'",
