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, Volume 48 (2014) no. 6, p. 1639-1679

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.

DOI : https://doi.org/10.1051/m2an/2014015
Classification:  35Q35,  35Q79,  65M25,  76T10
Keywords: low Mach number flows, modelling of phase transition, analytical solutions, method of characteristics, positivity-preserving schemes
@article{M2AN_2014__48_6_1639_0,
     author = {Bernard, Manuel and Dellacherie, St\'ephane and Faccanoni, Gloria and Grec, B\'er\'enice and Penel, Yohan},
     title = {Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {48},
     number = {6},
     year = {2014},
     pages = {1639-1679},
     doi = {10.1051/m2an/2014015},
     mrnumber = {3264368},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2014__48_6_1639_0}
}
Bernard, Manuel; Dellacherie, Stéphane; Faccanoni, Gloria; Grec, Bérénice; Penel, Yohan. 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, Volume 48 (2014) no. 6, pp. 1639-1679. doi : 10.1051/m2an/2014015. http://www.numdam.org/item/M2AN_2014__48_6_1639_0/

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