Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method

In the present work, a numerical method is proposed in order to model the subcooled boiling flow in a vertical channel using the Drift Flux Model. The system of nonlinear equations is solved with the fully-implicit scheme using the Jacobian-free Newton–Krylov (JFNK) method. In order to improve the e...

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Main Authors: H. Esmaili, H. Kazeminejad, H. Khalafi, S.M. Mirvakili
Format: Article
Language:fas
Published: Nuclear Science and Technology Research Institute 2021-04-01
Series:مجله علوم و فنون هسته‌ای
Subjects:
Online Access:https://jonsat.nstri.ir/article_1179_f44d06688af9f95c043d3b1aca7a8f42.pdf
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author H. Esmaili
H. Kazeminejad
H. Khalafi
S.M. Mirvakili
author_facet H. Esmaili
H. Kazeminejad
H. Khalafi
S.M. Mirvakili
author_sort H. Esmaili
collection DOAJ
description In the present work, a numerical method is proposed in order to model the subcooled boiling flow in a vertical channel using the Drift Flux Model. The system of nonlinear equations is solved with the fully-implicit scheme using the Jacobian-free Newton–Krylov (JFNK) method. In order to improve the efficiency of the JFNK method and its numerical stability, a semi-implicit physics based preconditioning (PBP) is implemented. Recently, the JFNK method has been widely used to solve large and sparse system of equations. To validate the proposed method, the results were compared with the experimental data, the results of modeling by using the RELAP5 code, and the available numerical results in the literature. It was found that the results corresponding to the present work have a good agreement with those of the other mentioned methods. Also, it was found that the convergence rate of the JFNK method with the PBP is at least 50% higher than the JFNK method, and the void fraction mean absolute percentage error (MAPE) is less than 7.34% over a wide range of flow and pressure
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spelling doaj.art-8f3a180ceafe468b9b515491c7bcbc702023-05-02T09:06:29ZfasNuclear Science and Technology Research Instituteمجله علوم و فنون هسته‌ای1735-18712676-58612021-04-0142111010.24200/nst.2021.11791179Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov methodH. Esmaili0H. Kazeminejad1H. Khalafi2S.M. Mirvakili3Nuclear Science and Technology Research Institute (NSTRI), AEOI, P.O. Box 11365-3486, Tehran, IranRadiation Application Research School, Nuclear Science and Technology Research Institute , ,AEOI, P.O.Box:11365-3486, Tehran IranNuclear Science and Technology Research Institute (NSTRI), AEOI, P.O. Box 11365-3486, Tehran, IranNuclear Science and Technology Research Institute (NSTRI), AEOI, P.O. Box 11365-3486, Tehran, IranIn the present work, a numerical method is proposed in order to model the subcooled boiling flow in a vertical channel using the Drift Flux Model. The system of nonlinear equations is solved with the fully-implicit scheme using the Jacobian-free Newton–Krylov (JFNK) method. In order to improve the efficiency of the JFNK method and its numerical stability, a semi-implicit physics based preconditioning (PBP) is implemented. Recently, the JFNK method has been widely used to solve large and sparse system of equations. To validate the proposed method, the results were compared with the experimental data, the results of modeling by using the RELAP5 code, and the available numerical results in the literature. It was found that the results corresponding to the present work have a good agreement with those of the other mentioned methods. Also, it was found that the convergence rate of the JFNK method with the PBP is at least 50% higher than the JFNK method, and the void fraction mean absolute percentage error (MAPE) is less than 7.34% over a wide range of flow and pressurehttps://jonsat.nstri.ir/article_1179_f44d06688af9f95c043d3b1aca7a8f42.pdftwo-phase flowdrift flux modeljfnk method
spellingShingle H. Esmaili
H. Kazeminejad
H. Khalafi
S.M. Mirvakili
Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method
مجله علوم و فنون هسته‌ای
two-phase flow
drift flux model
jfnk method
title Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method
title_full Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method
title_fullStr Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method
title_full_unstemmed Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method
title_short Simulation of two-phase flow drift flux model in a vertical channel using Newton–Krylov method
title_sort simulation of two phase flow drift flux model in a vertical channel using newton krylov method
topic two-phase flow
drift flux model
jfnk method
url https://jonsat.nstri.ir/article_1179_f44d06688af9f95c043d3b1aca7a8f42.pdf
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AT hkazeminejad simulationoftwophaseflowdriftfluxmodelinaverticalchannelusingnewtonkrylovmethod
AT hkhalafi simulationoftwophaseflowdriftfluxmodelinaverticalchannelusingnewtonkrylovmethod
AT smmirvakili simulationoftwophaseflowdriftfluxmodelinaverticalchannelusingnewtonkrylovmethod