Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme

To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary...

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Main Authors: Ali Falavand Jozaei, Ali Tayebi, Younes Shekari, Ashkan Ghafouri
Format: Article
Language:English
Published: Semnan University 2017-04-01
Series:Journal of Heat and Mass Transfer Research
Subjects:
Online Access:https://jhmtr.semnan.ac.ir/article_497_ee46c84cff5529def581b619047a3648.pdf
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author Ali Falavand Jozaei
Ali Tayebi
Younes Shekari
Ashkan Ghafouri
author_facet Ali Falavand Jozaei
Ali Tayebi
Younes Shekari
Ashkan Ghafouri
author_sort Ali Falavand Jozaei
collection DOAJ
description To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary DERivative (DG-ADER) method is applied to analyze the transient isothermal flow of natural gas through pipelines. The problem is investigated one dimensionally and the effect of friction force between the pipe wall and fluid flow is considered as a source term on the right-hand side of the momentum equation. Therefore, the governing equations have a hyperbolic nature. Two real problems with available field data are simulated using this method. The results show that using DG-ADER method, high accurate results can be obtained even on a coarse grid. Furthermore, the conventional small-amplitude oscillations of DG-ADER scheme do not appear in the transient natural gas flow problems, due to the smoothness of flow field properties.
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spelling doaj.art-27d0a557a9bd4588ad36d25ee4fa5c9b2024-03-17T08:03:17ZengSemnan UniversityJournal of Heat and Mass Transfer Research2345-508X2383-30682017-04-0141354310.22075/jhmtr.2016.497497Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER schemeAli Falavand Jozaei0Ali Tayebi1Younes Shekari2Ashkan Ghafouri3Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, IranYasouj University, Yasouj, Iran.Yasouj University, Yasouj, Iran.Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary DERivative (DG-ADER) method is applied to analyze the transient isothermal flow of natural gas through pipelines. The problem is investigated one dimensionally and the effect of friction force between the pipe wall and fluid flow is considered as a source term on the right-hand side of the momentum equation. Therefore, the governing equations have a hyperbolic nature. Two real problems with available field data are simulated using this method. The results show that using DG-ADER method, high accurate results can be obtained even on a coarse grid. Furthermore, the conventional small-amplitude oscillations of DG-ADER scheme do not appear in the transient natural gas flow problems, due to the smoothness of flow field properties.https://jhmtr.semnan.ac.ir/article_497_ee46c84cff5529def581b619047a3648.pdftransient natural gas flownumerical simulationhigh order dg-ader schemeisothermal flow
spellingShingle Ali Falavand Jozaei
Ali Tayebi
Younes Shekari
Ashkan Ghafouri
Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
Journal of Heat and Mass Transfer Research
transient natural gas flow
numerical simulation
high order dg-ader scheme
isothermal flow
title Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
title_full Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
title_fullStr Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
title_full_unstemmed Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
title_short Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme
title_sort numerical simulation of transient natural gas flow in pipelines using high order dg ader scheme
topic transient natural gas flow
numerical simulation
high order dg-ader scheme
isothermal flow
url https://jhmtr.semnan.ac.ir/article_497_ee46c84cff5529def581b619047a3648.pdf
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