Study of a depressurisation process at low Mach number in a nuclear reactor core

Abstract : This paper deals with the numerical treatment of two additional terms in the Lmnc-system derived and studied in previous publications and modelling the coolant in a nuclear reactor core. 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.
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Andrea Bondesan, Stéphane Dellacherie, Hélène Hivert, Jonathan Jung, Vanessa Lleras, et al.. Study of a depressurisation process at low Mach number in a nuclear reactor core. ESAIM: Proceedings and Surveys, EDP Sciences, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.41-60. ⟨10.1051/proc/201655041⟩. ⟨hal-01258397⟩

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