The parareal in time algorithm applied to the kinetic neutron diffusion equationReport as inadecuate

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1 LLPR - Laboratoire de Logiciels pour la Physique des Réacteurs DM2S - Département de Modélisation des Systèmes et Structures : DEN-DM2S-SERMA-LLPR 2 LRC Manon - Laboratoire de recherche conventionné Modélisation et approximation numérique orientées pour l-énergie nucléaire 3 LJLL - Laboratoire Jacques-Louis Lions 4 DAM - Division of Applied Mathematics 5 IUF - Institut Universitaire de France

Abstract : In the framework of nuclear core calculations, the development of efficient tools to run neutron kinetic computations is a field of current active research. While such calculations are crucial for security assessment and the study of new reactor concepts, they present several mathematical and computational issues that still need to be overcome. The exact model kinetic transport equation is indeed far too expensive to be simulated for these purposes and different simplifications multi group diffusion approximation have led to more tractable numerical simulations. Nevertheless, on real geometries and despite the use of domain decomposition enabling accelerations of the simulations thanks to parallel architectures, there is still need for improvements for applications on regular basis. In this context, the purpose of this work is to investigate the implementation of the parareal in time algorithm within an industrial solver called MINOS developed at C.E.A.

keyword : parareal neutron diffusion

Author: Anne-Marie Baudron - Jean-Jacques Lautard - Yvon Maday - Olga Mula -



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