Spatially dependent embedded self-shielding method for nonuniform temperature distribution

Kang Seog Kim; Mark L. Williams

doi:10.1016/j.anucene.2019.06.043

Spatially dependent embedded self-shielding method for nonuniform temperature distribution

Kang Seog Kim, Mark L. Williams

Nuclear Transmutation & Decay Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The embedded self-shielding method (ESSM) is simple and robust, and applicable to any geometrical configuration to account for resonance self-shielding by performing fixed source transport calculations. ESSM is very similar to the subgroup method, which has been successful in the MPACT neutronics code developed by CASL. The subgroup method introduces errors in a least-squares fitting process that is used to generate subgroup quadrature sets and cannot be applied to thermal energy groups, as ESSM introduces error for spatially dependent self-shielded cross sections inside the fuel. This study focused on integrating the conventional ESSM with an improved Stoker-Weiss method to obtain spatially dependent resonance self-shielded cross sections for a nonuniform fuel temperature distribution. The proposed method would serve as a substitute for the subgroup method in high fidelity simulations using CASL's VERA. Benchmark results show that this new, spatially dependent ESSM (SDESSM) is an appropriate candidate to replace the subgroup method.

Original language	English
Pages (from-to)	563-575
Number of pages	13
Journal	Annals of Nuclear Energy
Volume	132
DOIs	https://doi.org/10.1016/j.anucene.2019.06.043
State	Published - Oct 2019

Funding

This research was supported by the US Department of Energy (DOE) Laboratory Directed Research and Development Program and the Consortium for Advanced Simulation of Light Water Reactors (http://www.casl.gov), an Energy Innovation Hub (http://www.energy.gov/hubs) for modeling and simulation of nuclear reactors under DOE Contract No. DE-AC05-00OR22725 . This research was supported by the US Department of Energy (DOE) Laboratory Directed Research and Development Program and the Consortium for Advanced Simulation of Light Water Reactors (http://www.casl.gov), an Energy Innovation Hub (http://www.energy.gov/hubs) for modeling and simulation of nuclear reactors under DOE Contract No. DE-AC05-00OR22725.

Funders	Funder number
Consortium for Advanced Simulation of Light Water Reactors
Energy Innovation Hub
US Department of Energy
U.S. Department of Energy	DE-AC05-00OR22725
Laboratory Directed Research and Development

Keywords

ESSM
MPACT
Nonuniform temperature
Spatially dependent self-shielding

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10.1016/j.anucene.2019.06.043

Cite this

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abstract = "The embedded self-shielding method (ESSM) is simple and robust, and applicable to any geometrical configuration to account for resonance self-shielding by performing fixed source transport calculations. ESSM is very similar to the subgroup method, which has been successful in the MPACT neutronics code developed by CASL. The subgroup method introduces errors in a least-squares fitting process that is used to generate subgroup quadrature sets and cannot be applied to thermal energy groups, as ESSM introduces error for spatially dependent self-shielded cross sections inside the fuel. This study focused on integrating the conventional ESSM with an improved Stoker-Weiss method to obtain spatially dependent resonance self-shielded cross sections for a nonuniform fuel temperature distribution. The proposed method would serve as a substitute for the subgroup method in high fidelity simulations using CASL's VERA. Benchmark results show that this new, spatially dependent ESSM (SDESSM) is an appropriate candidate to replace the subgroup method.",

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AB - The embedded self-shielding method (ESSM) is simple and robust, and applicable to any geometrical configuration to account for resonance self-shielding by performing fixed source transport calculations. ESSM is very similar to the subgroup method, which has been successful in the MPACT neutronics code developed by CASL. The subgroup method introduces errors in a least-squares fitting process that is used to generate subgroup quadrature sets and cannot be applied to thermal energy groups, as ESSM introduces error for spatially dependent self-shielded cross sections inside the fuel. This study focused on integrating the conventional ESSM with an improved Stoker-Weiss method to obtain spatially dependent resonance self-shielded cross sections for a nonuniform fuel temperature distribution. The proposed method would serve as a substitute for the subgroup method in high fidelity simulations using CASL's VERA. Benchmark results show that this new, spatially dependent ESSM (SDESSM) is an appropriate candidate to replace the subgroup method.

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Spatially dependent embedded self-shielding method for nonuniform temperature distribution

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Keywords

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