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2D numerical simulation of a low Mach nuclear core model with stiffened gas using FreeFem++. (English. French summary) Zbl 1338.76051
Summary: We investigate a simplified model describing the evolution of the coolant within a nuclear reactor core (e.g. of PWR type). This model is named Lmnc (for Low Mach Nuclear Core) and consists of the coupling between three equations of different types together with boundary conditions specific to the nuclear framework. After several articles dedicated to dimension 1, we present in this paper some monophasic two-dimensional numerical results when the fluid is modelled by the stiffened gas law describing the pure liquid phase. The underlying numerical strategy is based on the Finite-Element software FreeFem++.

76M10 Finite element methods applied to problems in fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
76D99 Incompressible viscous fluids
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