Paper Info
Title
Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model.
Abstract
In this paper we present a time-parallel algorithm for the 3D neutrons calculation of a transient model in a nuclear reactor core. The neutrons calculation consists in numerically solving the time dependent diffusion approximation equation, which is a simplified transport equation. The numerical resolution is done with finite elements method based on a tetrahedral meshing of the computational domain, representing the reactor core, and time discretization is achieved using a θ-scheme. The transient model presents moving control rods during the time of the reaction. Therefore, cross-sections (piecewise constants) are taken into account by interpolations with respect to the velocity of the control rods. The parallelism across the time is achieved by an adequate use of the parareal in time algorithm to the handled problem. This parallel method is a predictor corrector scheme that iteratively combines the use of two kinds of numerical propagators, one coarse and one fine. Our method is made efficient by means of a coarse solver defined with large time step and fixed position control rods model, while the fine propagator is assumed to be a high order numerical approximation of the full model.
Year
DOI
Venue
2014
10.1016/j.jcp.2014.08.037
Journal of Computational Physics
Keywords
Field
DocType
Parareal in time algorithm,Time-dependent neutron diffusion equations,High performance computing
Discretization,Convection–diffusion equation,Nuclear reactor core,Mathematical optimization,Parareal,Mathematical analysis,Finite element method,Solver,Predictor–corrector method,Mathematics,Piecewise
Journal
Volume
Issue
ISSN
279
C
0021-9991
Citations 
PageRank 
References 
0
0.34
5
Authors
5
Name
Order
Citations
PageRank
Anne-Marie Baudron131.19
Jean-Jacques Lautard200.34
Yvon Maday300.34
Mohamed Kamel Riahi401.35
Julien Salomon500.34