Solution of the neutron diffusion equation with the peridynamic differential operator

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The peridynamic differential (PD) operator introduces an internal parameter that defines association among the points within a finite range enabling differentiation through integration. Thus, it is very robust for determining higher order derivatives of spatial and temporal functions and restoring the interactive nature of phenomenon lost during local differentiation. Furthermore, the PD operator enables the solution of partial differential equations (PDEs) and ordinary differential equations (ODEs) in a unified manner regardless of their intrinsic behavior and presence of a singularity. This study presents an application of this nonlocal operator to investigate both steady state and time dependent monoenergetic neutron diffusion with results compared to analytical steady state and time dependent benchmarks.

Original languageEnglish (US)
Title of host publicationInternational Conference on Physics of Reactors, PHYSOR 2018
Subtitle of host publicationReactor Physics Paving the Way Towards More Efficient Systems
PublisherSociedad Nuclear Mexicana, A.C.
Pages1585-1595
Number of pages11
ISBN (Electronic)9781713808510
StatePublished - 2018
Event2018 International Conference on Physics of Reactors: Reactor Physics Paving the Way Towards More Efficient Systems, PHYSOR 2018 - Cancun, Mexico
Duration: Apr 22 2018Apr 26 2018

Publication series

NameInternational Conference on Physics of Reactors, PHYSOR 2018: Reactor Physics Paving the Way Towards More Efficient Systems
VolumePart F168384-3

Conference

Conference2018 International Conference on Physics of Reactors: Reactor Physics Paving the Way Towards More Efficient Systems, PHYSOR 2018
Country/TerritoryMexico
CityCancun
Period4/22/184/26/18

Keywords

  • Neutron diffusion
  • Nonlocal
  • Numerical Laplace transform inversion
  • Peridynamic differential operator

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Nuclear and High Energy Physics
  • Radiation
  • Safety, Risk, Reliability and Quality

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