Log-linear substep method for Monte Carlo depletion coupled codes

Dan Kotlyar, Eugene Shwageraus

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Coupled Monte Carlo bumup codes aim at evaluating the time evolution of different parameters, such as nuclide densities, for accurate modeling of different reactor designs and associated fuel cycles. Recently, a major deficiency in numerical stability of existing Monte Carlo coupling schemes was identified. Therefore, new coupling schemes were derived, implemented and verified. These methods are iterative and rely on the end-of-step reaction rates to evaluate the end-of-step nuclide densities. Here, we demonstrate that applying such methods to realistic problems may lead to inaccurate results. The solution proposed in this work relies on the substep method that allows reducing the time discretization errors. The proposed and tested sub-step method also assumes that the reaction rates are linear functions of the logarithm of the nuclide densities. The method was implemented in BGCore code and subsequently used to perform 3D analysis of UO2 unit cell loaded with Gd2O3. The results demonstrate that better accuracy and hence computational efficiency can be achieved.

Original languageEnglish
Title of host publicationPhysics of Reactors 2016, PHYSOR 2016
Subtitle of host publicationUnifying Theory and Experiments in the 21st Century
PublisherAmerican Nuclear Society
Pages455-462
Number of pages8
ISBN (Electronic)9781510825734
StatePublished - 1 Jan 2016
Externally publishedYes
EventPhysics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016 - Sun Valley, United States
Duration: 1 May 20165 May 2016

Publication series

NamePhysics of Reactors 2016, PHYSOR 2016: Unifying Theory and Experiments in the 21st Century
Volume1

Conference

ConferencePhysics of Reactors 2016: Unifying Theory and Experiments in the 21st Century, PHYSOR 2016
Country/TerritoryUnited States
CitySun Valley
Period1/05/165/05/16

Keywords

  • BGCore
  • Coupling schemes
  • Depletion
  • Implicit
  • Monte Carlo
  • Substep

Fingerprint

Dive into the research topics of 'Log-linear substep method for Monte Carlo depletion coupled codes'. Together they form a unique fingerprint.

Cite this