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Domain decomposition for the neutron SPN equations

Erell Jamelot 1 Patrick Ciarlet 1 Anne-Marie Baudron 2, 3 Jean-Jacques Lautard 2, 3
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
2 LLPR - Laboratoire de Logiciels pour la Physique des Réacteurs
SERMA - Service des Réacteurs et de Mathématiques Appliquées : DEN/DM2S/SERMA
Abstract : Studying numerically the steady state of a nuclear core reactor is expensive, in terms of memory storage and computational time. In order to address both requirements, one can use a domain decomposition method, implemented on a parallel computer. We present here such a method applied to the neutron SPN equations, which are an approximation of the transport neutron equation. This method is based on the Schwarz iterative algorithm with optimized Robin interface conditions to handle communications. From a computational point of view, this method is rather easy to implement. We give some numerical results in highly heterogeneous 3D configurations. Computations are carried out with the MINOS solver, which is a multigroup SPN solver of the APOLLO3® neutronics code. Numerical experiments show that the method is robust and efficient, and that our choice of the Robin parameters is abstract
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Contributor : Valentin Vinoles <>
Submitted on : Tuesday, January 28, 2014 - 6:06:16 PM
Last modification on : Thursday, January 14, 2021 - 11:56:03 AM


  • HAL Id : hal-00937770, version 1


Erell Jamelot, Patrick Ciarlet, Anne-Marie Baudron, Jean-Jacques Lautard. Domain decomposition for the neutron SPN equations. 21st Intl Conf. on Domain Decomposition Methods, 2013, Unknown. ⟨hal-00937770⟩



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