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Study of a low Mach nuclear core model for single-phase flows. (English. French summary) Zbl 1329.76248
Summary: This paper deals with the modelling of the coolant (water) in a nuclear reactor core. This study is based on a monophasic low Mach number model (Lmnc model) coupled to the stiffened gas law for a single-phase flow. Some analytical steady and unsteady solutions are presented for the 1D case. We then introduce a numerical scheme to simulate the 1D model in order to assess its relevance. Finally, we carry out a normal mode perturbation analysis in order to approximate 2D solutions around the 1D steady solutions.

##### MSC:
 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76Dxx Incompressible viscous fluids 65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
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##### References:
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