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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

This article analyses a form of the empirical Colebrook&apos;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&apos;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.

Název v anglickém jazyce

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

Popis výsledku anglicky

This article analyses a form of the empirical Colebrook&apos;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&apos;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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Reports in Mechanical Engineering

ISSN

2683-5894

e-ISSN

2683-5894

Svazek periodika

1

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

RS - Srbská republika

Počet stran výsledku

6

Strana od-do

174-179

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85102761601