Study of a Depressurisation Process at Low Mach number in a nuclear reactor core

This paper deals with the numerical treatment of two additional terms in the Lmnc-system modelling the coolant in a nuclear reactor core. The latter model was derived and studied by the authors in previous publications. On the one hand, we investigate the influence of the thermal conduction upon ste...

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Main Authors: Bondesan Andrea, Dellacherie Stéphane, Hivert Hélène, Jung Jonathan, Lleras Vanessa, Mietka Colin, Penel Yohan
Format: Article
Language:English
Published: EDP Sciences 2016-12-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201655041
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spelling doaj-3da4331fc4d3427fadf12d218934d1632021-07-15T14:12:31ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592016-12-0155416010.1051/proc/201655041proc16553Study of a Depressurisation Process at Low Mach number in a nuclear reactor coreBondesan AndreaDellacherie StéphaneHivert HélèneJung JonathanLleras VanessaMietka ColinPenel YohanThis paper deals with the numerical treatment of two additional terms in the Lmnc-system modelling the coolant in a nuclear reactor core. The latter model was derived and studied by the authors in previous publications. On the one hand, we investigate the influence of the thermal conduction upon steady analytical solutions and upon numerical strategies designed in dimensions 1 and 2. On the other hand, we consider a time-varying thermodynamic pressure that enables to simulate a larger variety of physical situations. Taking into account the resulting terms in the equations lead us to adapt numerical methods to ensure accuracy. In particular, we use an adaptative mesh refinement procedure whose level of refinement depends on the phase.https://doi.org/10.1051/proc/201655041
collection DOAJ
language English
format Article
sources DOAJ
author Bondesan Andrea
Dellacherie Stéphane
Hivert Hélène
Jung Jonathan
Lleras Vanessa
Mietka Colin
Penel Yohan
spellingShingle Bondesan Andrea
Dellacherie Stéphane
Hivert Hélène
Jung Jonathan
Lleras Vanessa
Mietka Colin
Penel Yohan
Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
ESAIM: Proceedings and Surveys
author_facet Bondesan Andrea
Dellacherie Stéphane
Hivert Hélène
Jung Jonathan
Lleras Vanessa
Mietka Colin
Penel Yohan
author_sort Bondesan Andrea
title Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
title_short Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
title_full Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
title_fullStr Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
title_full_unstemmed Study of a Depressurisation Process at Low Mach number in a nuclear reactor core
title_sort study of a depressurisation process at low mach number in a nuclear reactor core
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2016-12-01
description This paper deals with the numerical treatment of two additional terms in the Lmnc-system modelling the coolant in a nuclear reactor core. The latter model was derived and studied by the authors in previous publications. On the one hand, we investigate the influence of the thermal conduction upon steady analytical solutions and upon numerical strategies designed in dimensions 1 and 2. On the other hand, we consider a time-varying thermodynamic pressure that enables to simulate a larger variety of physical situations. Taking into account the resulting terms in the equations lead us to adapt numerical methods to ensure accuracy. In particular, we use an adaptative mesh refinement procedure whose level of refinement depends on the phase.
url https://doi.org/10.1051/proc/201655041
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