Study of a low Mach nuclear core model for single-phase flowsReport as inadecuate

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1 Inria Lille - Nord Europe 2 CEA-DEN - CEA-Direction de l-Energie Nucléaire 3 IMATH - Institut de Mathématiques de Toulon - EA 2134 4 MAP5 - MAP5 - Mathématiques Appliquées à Paris 5 5 LAGA - Laboratoire Analyse, Géométrie et Applications 6 LATP - Laboratoire d-Analyse, Topologie, Probabilités 7 SIMPAF - SImulations and Modeling for PArticles and Fluids LPP - Laboratoire Paul Painlevé, Inria Lille - Nord Europe

Abstract : 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.

Author: Manuel Bernard - Stéphane Dellacherie - Gloria Faccanoni - Bérénice Grec - Olivier Lafitte - Tan Trung Nguyen - Yohan Penel -



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