Suitability for coding of the Colebrook's flow friction relation expressed by symbolic regression approximations of the Wright-ω function

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F20%3A10252491" target="_blank" >RIV/61989100:27740/20:10252491 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.31181/rme200101174p" target="_blank" >https://doi.org/10.31181/rme200101174p</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.31181/rme200101174p" target="_blank" >10.31181/rme200101174p</a>

Result language
angličtina
Original language name
Suitability for coding of the Colebrook's flow friction relation expressed by symbolic regression approximations of the Wright-ω function
Original language description
This article analyses a form of the empirical Colebrook's pipe flow friction equation given originally by the Lambert W-function and recently also by the Wright ω-function. These special functions are used to explicitly express the unknown flow friction factor of the Colebrook equation, which is in its classical formulation given implicitly. Explicit approximations of the Colebrook equation based on approximations of the Wright ω-function given by an asymptotic expansion and symbolic regression were analyzed in respect of speed and accuracy. Numerical experiments on 8 million Sobol's quasi-Monte points clearly show that also both approaches lead to approximately the same complexity in terms of speed of execution in computers. However, the relative error of the developed symbolic regression-based approximations is reduced significantly, in comparison with the classical basic asymptotic expansion. These numerical results indicate promising results of artificial intelligence (symbolic regression) for developing fast and accurate explicit approximations.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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