Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law

Manuel Bernard; Stéphane Dellacherie; Gloria Faccanoni; Bérénice Grec; Yohan Penel

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2014)

  • Volume: 48, Issue: 6, page 1639-1679
  • ISSN: 0764-583X

Abstract

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In this paper, we are interested in modelling the flow of the coolant (water) in a nuclear reactor core. To this end, we use a monodimensional low Mach number model supplemented with the stiffened gas law. We take into account potential phase transitions by a single equation of state which describes both pure and mixture phases. In some particular cases, we give analytical steady and/or unsteady solutions which provide qualitative information about the flow. In the second part of the paper, we introduce two variants of a numerical scheme based on the method of characteristics to simulate this model. We study and verify numerically the properties of these schemes. We finally present numerical simulations of a loss of flow accident (LOFA) induced by a coolant pump trip event.

How to cite

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Bernard, Manuel, et al. "Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 48.6 (2014): 1639-1679. <http://eudml.org/doc/273112>.

@article{Bernard2014,
abstract = {In this paper, we are interested in modelling the flow of the coolant (water) in a nuclear reactor core. To this end, we use a monodimensional low Mach number model supplemented with the stiffened gas law. We take into account potential phase transitions by a single equation of state which describes both pure and mixture phases. In some particular cases, we give analytical steady and/or unsteady solutions which provide qualitative information about the flow. In the second part of the paper, we introduce two variants of a numerical scheme based on the method of characteristics to simulate this model. We study and verify numerically the properties of these schemes. We finally present numerical simulations of a loss of flow accident (LOFA) induced by a coolant pump trip event.},
author = {Bernard, Manuel, Dellacherie, Stéphane, Faccanoni, Gloria, Grec, Bérénice, Penel, Yohan},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {low Mach number flows; modelling of phase transition; analytical solutions; method of characteristics; positivity-preserving schemes},
language = {eng},
number = {6},
pages = {1639-1679},
publisher = {EDP-Sciences},
title = {Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law},
url = {http://eudml.org/doc/273112},
volume = {48},
year = {2014},
}

TY - JOUR
AU - Bernard, Manuel
AU - Dellacherie, Stéphane
AU - Faccanoni, Gloria
AU - Grec, Bérénice
AU - Penel, Yohan
TI - Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 6
SP - 1639
EP - 1679
AB - In this paper, we are interested in modelling the flow of the coolant (water) in a nuclear reactor core. To this end, we use a monodimensional low Mach number model supplemented with the stiffened gas law. We take into account potential phase transitions by a single equation of state which describes both pure and mixture phases. In some particular cases, we give analytical steady and/or unsteady solutions which provide qualitative information about the flow. In the second part of the paper, we introduce two variants of a numerical scheme based on the method of characteristics to simulate this model. We study and verify numerically the properties of these schemes. We finally present numerical simulations of a loss of flow accident (LOFA) induced by a coolant pump trip event.
LA - eng
KW - low Mach number flows; modelling of phase transition; analytical solutions; method of characteristics; positivity-preserving schemes
UR - http://eudml.org/doc/273112
ER -

References

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