An accurate and efficient scheme involving unsteady friction for transient pipe flow

A robust prediction system should monitor all possible hydraulic transients, which is significant for the appropriate and safe operation of pipe systems. A second-order finite volume method (FVM) Godunov-type scheme (GTS) considering unsteady friction factors is introduced to simulate hydraulic tran...

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Autores principales:	Ling Zhou, Yunjie Li, Yan Zhao, Chuanqi Ou, Yue Zhao
Formato:	article
Lenguaje:	EN
Publicado:	IWA Publishing 2021
Materias:	godunov-type scheme hydraulic transients pipe flow tvb method Information technology T58.5-58.64 Environmental technology. Sanitary engineering TD1-1066
Acceso en línea:	https://doaj.org/article/3d281c12eb6d40dd95ea304a3d0e09a8
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spelling	oai:doaj.org-article:3d281c12eb6d40dd95ea304a3d0e09a82021-11-05T17:49:07ZAn accurate and efficient scheme involving unsteady friction for transient pipe flow1464-71411465-173410.2166/hydro.2021.160https://doaj.org/article/3d281c12eb6d40dd95ea304a3d0e09a82021-07-01T00:00:00Zhttp://jh.iwaponline.com/content/23/4/879https://doaj.org/toc/1464-7141https://doaj.org/toc/1465-1734A robust prediction system should monitor all possible hydraulic transients, which is significant for the appropriate and safe operation of pipe systems. A second-order finite volume method (FVM) Godunov-type scheme (GTS) considering unsteady friction factors is introduced to simulate hydraulic transients, which was rarely involved in previous work. One explicit-solution source item approach developed in this work is crucial for the proposed GTS to easily incorporate various forms of the existing unsteady friction models, including original convolution-based models (Zielke model and Vardy–Brown model), simplified convolution-based model (Trikha–Vardy–Brown (TVB) model), and Brunone instantaneous acceleration-based model. Results achieved by the proposed models are compared with experimental data as well as predictions by the classic Method of Characteristics (MOC). Results show that the MOC scheme may produce severe numerical attenuation in the case of a low Courant number. The proposed second-order GTS unsteady friction models are accurate, efficient, and stable even for Courant numbers less than one and sparse grid, and only need much less grid number and computation time to reach the same numerical accuracy. The TVB convolution-based model and Brunone model in the second-order GTS are suggested for further applications in hydraulic transients due to their high accuracy and efficiency. HIGHLIGHTS A Godunov-type scheme involving unsteady pipe friction is developed.; An explicit-solution source item approach is introduced to incorporate unsteady friction.; The numerical models are validated by the experimental data.; The proposed models are accurate, efficient, and stable for transient pipe flow.; A Brunone unsteady friction model is more efficient than the convolution-based model.;Ling ZhouYunjie LiYan ZhaoChuanqi OuYue ZhaoIWA Publishingarticlegodunov-type schemehydraulic transientspipe flowtvb methodInformation technologyT58.5-58.64Environmental technology. Sanitary engineeringTD1-1066ENJournal of Hydroinformatics, Vol 23, Iss 4, Pp 879-896 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	godunov-type scheme hydraulic transients pipe flow tvb method Information technology T58.5-58.64 Environmental technology. Sanitary engineering TD1-1066
spellingShingle	godunov-type scheme hydraulic transients pipe flow tvb method Information technology T58.5-58.64 Environmental technology. Sanitary engineering TD1-1066 Ling Zhou Yunjie Li Yan Zhao Chuanqi Ou Yue Zhao An accurate and efficient scheme involving unsteady friction for transient pipe flow
description	A robust prediction system should monitor all possible hydraulic transients, which is significant for the appropriate and safe operation of pipe systems. A second-order finite volume method (FVM) Godunov-type scheme (GTS) considering unsteady friction factors is introduced to simulate hydraulic transients, which was rarely involved in previous work. One explicit-solution source item approach developed in this work is crucial for the proposed GTS to easily incorporate various forms of the existing unsteady friction models, including original convolution-based models (Zielke model and Vardy–Brown model), simplified convolution-based model (Trikha–Vardy–Brown (TVB) model), and Brunone instantaneous acceleration-based model. Results achieved by the proposed models are compared with experimental data as well as predictions by the classic Method of Characteristics (MOC). Results show that the MOC scheme may produce severe numerical attenuation in the case of a low Courant number. The proposed second-order GTS unsteady friction models are accurate, efficient, and stable even for Courant numbers less than one and sparse grid, and only need much less grid number and computation time to reach the same numerical accuracy. The TVB convolution-based model and Brunone model in the second-order GTS are suggested for further applications in hydraulic transients due to their high accuracy and efficiency. HIGHLIGHTS A Godunov-type scheme involving unsteady pipe friction is developed.; An explicit-solution source item approach is introduced to incorporate unsteady friction.; The numerical models are validated by the experimental data.; The proposed models are accurate, efficient, and stable for transient pipe flow.; A Brunone unsteady friction model is more efficient than the convolution-based model.;
format	article
author	Ling Zhou Yunjie Li Yan Zhao Chuanqi Ou Yue Zhao
author_facet	Ling Zhou Yunjie Li Yan Zhao Chuanqi Ou Yue Zhao
author_sort	Ling Zhou
title	An accurate and efficient scheme involving unsteady friction for transient pipe flow
title_short	An accurate and efficient scheme involving unsteady friction for transient pipe flow
title_full	An accurate and efficient scheme involving unsteady friction for transient pipe flow
title_fullStr	An accurate and efficient scheme involving unsteady friction for transient pipe flow
title_full_unstemmed	An accurate and efficient scheme involving unsteady friction for transient pipe flow
title_sort	accurate and efficient scheme involving unsteady friction for transient pipe flow
publisher	IWA Publishing
publishDate	2021
url	https://doaj.org/article/3d281c12eb6d40dd95ea304a3d0e09a8
work_keys_str_mv	AT lingzhou anaccurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT yunjieli anaccurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT yanzhao anaccurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT chuanqiou anaccurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT yuezhao anaccurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT lingzhou accurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT yunjieli accurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT yanzhao accurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT chuanqiou accurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow AT yuezhao accurateandefficientschemeinvolvingunsteadyfrictionfortransientpipeflow
_version_	1718444096498958336

An accurate and efficient scheme involving unsteady friction for transient pipe flow

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