Review of new flow friction equations: Constructing Colebrook's explicit correlations accurately

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F20%3A10246479" target="_blank" >RIV/61989100:27740/20:10246479 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.23967/j.rimni.2020.09.001" target="_blank" >https://doi.org/10.23967/j.rimni.2020.09.001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.23967/j.rimni.2020.09.001" target="_blank" >10.23967/j.rimni.2020.09.001</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Review of new flow friction equations: Constructing Colebrook's explicit correlations accurately

Popis výsledku v původním jazyce

Using only a limited number of computationally expensive functions, we show a way how to construct accurate and computationally efficient approximations of the Colebrook equation for flow friction based on the asymptotic series expansion of the Wright w-function and on symbolic regression. The results are verified with 8 million of Quasi-Monte Carlo points covering the domain of interest for engineers. In comparison with the built-in &quot;wrightOmega&quot; feature of Matlab R2016a, the herein introduced related approximations of the Wright omega-function significantly accelerate the explicit solution of the Colebrook equation. Such balance between speed and accuracy could be achieved only using symbolic regression, a computational intelligence approach that can find optimal coefficients and the best structure of the equation. The presented numerical experiments show that the novel symbolic regression approximation reduced the maximal relative error from 0.045% to 0.00337%, i.e. more than 13 times, even the complexity remains almost unchanged. Moreover, we also provide a novel highly precise symbolic regression approximation (max. relative error 0.000024%), which, for the same speed as asymptotic expansion, reduces the relative error by factor 219. This research is motivated by estimation of flow rate using electrical parameters of pumps where direct measurement is not always possible such as in offshore underwater pipelines.

Název v anglickém jazyce

Review of new flow friction equations: Constructing Colebrook's explicit correlations accurately

Popis výsledku anglicky

Using only a limited number of computationally expensive functions, we show a way how to construct accurate and computationally efficient approximations of the Colebrook equation for flow friction based on the asymptotic series expansion of the Wright w-function and on symbolic regression. The results are verified with 8 million of Quasi-Monte Carlo points covering the domain of interest for engineers. In comparison with the built-in &quot;wrightOmega&quot; feature of Matlab R2016a, the herein introduced related approximations of the Wright omega-function significantly accelerate the explicit solution of the Colebrook equation. Such balance between speed and accuracy could be achieved only using symbolic regression, a computational intelligence approach that can find optimal coefficients and the best structure of the equation. The presented numerical experiments show that the novel symbolic regression approximation reduced the maximal relative error from 0.045% to 0.00337%, i.e. more than 13 times, even the complexity remains almost unchanged. Moreover, we also provide a novel highly precise symbolic regression approximation (max. relative error 0.000024%), which, for the same speed as asymptotic expansion, reduces the relative error by factor 219. This research is motivated by estimation of flow rate using electrical parameters of pumps where direct measurement is not always possible such as in offshore underwater pipelines.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - 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

Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria

ISSN

0213-1315

e-ISSN

—

Svazek periodika

36

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

ES - Španělské království

Počet stran výsledku

8

Strana od-do

—

Kód UT WoS článku

000595371000003

EID výsledku v databázi Scopus

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