• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model

Baudron, Anne-Marie; Lautard, Jean-Jacques; Maday, Yvon; Riahi, Mohamed Kamel; Salomon, Julien (2014), Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model, Journal of Computational Physics, 279, p. 67-79. http://dx.doi.org/10.1016/j.jcp.2014.08.037

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/1403.1746v1
Date
2014
Journal name
Journal of Computational Physics
Volume
279
Publisher
Elsevier
Pages
67-79
Publication identifier
http://dx.doi.org/10.1016/j.jcp.2014.08.037
Metadata
Show full item record
Author(s)
Baudron, Anne-Marie
Lautard, Jean-Jacques
Maday, Yvon
Riahi, Mohamed Kamel
Salomon, Julien
Abstract (EN)
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. The parallel implementation of our method provides a good scalability of the algorithm. Numerical results show the efficiency of the parareal method on large light water reactor transient model corresponding to the Langenbuch–Maurer–Werner benchmark.
Subjects / Keywords
Parareal in time algorithm; Time-dependent neutron diffusion equations; High performance computing

Related items

Showing items related by title and author.

  • Thumbnail
    Parareal in time algorithm, time-dependent neutron diffusion equations, reduced model, parallel computation, hight performance computing 
    Salomon, Julien; Riahi, Mohamed Kamel; Maday, Yvon; Baudron, Anne-Marie; Lautard, Jean-Jacques (2011) Document de travail / Working paper
  • Thumbnail
    Parareal in time intermediate targets methods for optimal control problems 
    Maday, Yvon; Riahi, Mohamed Kamel; Salomon, Julien (2013) Chapitre d'ouvrage
  • Thumbnail
    An intermediate targets method for time parallelization in optimal control 
    Riahi, Mohamed Kamel; Salomon, Julien; Maday, Yvon (2011) Document de travail / Working paper
  • Thumbnail
    An intermediate targets method for time parallelization in optimal control 
    Maday, Yvon; Salomon, Julien; Riahi, Kamel (2012) Communication / Conférence
  • Thumbnail
    Parareal in time control for quantum systems 
    Salomon, Julien; Maday, Yvon; Turinici, Gabriel (2007) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo