Calculation of multi-group migration areas in deterministic transport simulations

Liu, Zhaoyuan; Smith, Kord; Forget, Benoit

doi:10.1016/j.anucene.2019.107110

Title: Calculation of multi-group migration areas in deterministic transport simulations

Journal Article · Wed Oct 16 00:00:00 EDT 2019 · Annals of Nuclear Energy (Oxford)

DOI:https://doi.org/10.1016/j.anucene.2019.107110· OSTI ID:1801258

^[1]; Smith, Kord ^[1];

^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Recent work on the Cumulative Migration Method (CMM) has demonstrated that it is possible to define multi-group transport cross sections directly from Monte Carlo spectral calculations by utilizing edits of the energy-dependent neutron migration areas. However, it is difficult to demonstrate that downstream deterministic transport calculations actually preserve Monte Carlo migration areas. This paper addresses this issue by: 1) demonstrating the relationship of migration area with the concept of mean squared displacement, 2) deriving, and validating vs. Monte Carlo, an analytic expression for computing one-group migration areas for a homogeneous medium with energy-independent cross sections, 3) deriving, and validating vs. Monte Carlo, an analytic expression for computing multi-group migration areas for a homogenized medium with energy-dependent cross sections, and 4) rigorously proving that energy condensation of multi-group transport cross section must be inverse flux weighted in order to preserve Monte Carlo neutron migration areas.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Nuclear Energy (NE), Nuclear Energy University Program (NEUP); USDOE

Grant/Contract Number:: NE0008578

OSTI ID:: 1801258

Alternate ID(s):: OSTI ID: 2325088

Journal Information:: Annals of Nuclear Energy (Oxford), Vol. 140; ISSN 0306-4549

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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mean square displacement
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