Multigroup Constant Calculation with Static α-Eigenvalue Monte Carlo for Time-Dependent Neutron Transport Simulations

Variansyah, Ilham; Betzler, Benjamin R.; Martin, William R.

doi:10.1080/00295639.2020.1743578

Title: Multigroup Constant Calculation with Static α-Eigenvalue Monte Carlo for Time-Dependent Neutron Transport Simulations

Journal Article · Mon Jun 01 00:00:00 EDT 2020 · Nuclear Science and Engineering

DOI:https://doi.org/10.1080/00295639.2020.1743578· OSTI ID:1649372

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Univ. of Michigan, Ann Arbor, MI (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Herein, multigroup constants for deterministic methods that preserve the time-dependent physics of the neutron transport equations are derived. Alternative multigroup constant weighting spectra are discussed: (1) the fundamental k-eigenfunction, (2) the fundamental α-eigenfunction, and (3) a composite of several α-modes. To generate the fundamental α-eigenfunction for calculating the multigroup constants, a static fundamental α-eigenvalue method is implemented into the open source Monte Carlo code OpenMC. Several static and kinetic problems are devised to verify the implementations and to investigate the relative performance of the alternative multigroup constant weighting spectra. Results emphasize that as a multigroup constant weighting spectrum, the fundamental α-eigenfunction offers physical characteristics that make it advantageous (in producing accurate solutions) over the typically used fundamental k-eigenfunction.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE; Consortium for Advanced Simulation of Light Water Reactors (CASL)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1649372

Journal Information:: Nuclear Science and Engineering, Vol. 194, Issue 11; ISSN 0029-5639

Publisher:: American Nuclear Society - Taylor & FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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time-dependent neutron transport
multigroup constants
static α-eigenvalue Monte Carlo method
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