Functional Expansion Tally-Based Shannon-Fisher Complexity Metric for Fission Source Convergence Analysis in Serpent 2 Monte Carlo Code

Ana Jambrina; Jaakko Leppänen

Functional Expansion Tally-Based Shannon-Fisher Complexity Metric for Fission Source Convergence Analysis in Serpent 2 Monte Carlo Code

^*Corresponding author for this work

Lappeenranta-Lahti University of Technology LUT

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

1 Citation (Scopus)

Abstract

This study presents a new fission source convergence metric, describing an information-theoretic spreading based on Shannon-Fisher statistical complexity measure. The metric is derived from a functional expansion tally-based (FETs) formulation by decomposing the fission source distribution into its spatial moments. The metric analyses whether those moments (and their correspondent expansion coefficients) converge upon an established stopping criterion. The Shannon-Fisher complexity metric provides global and local information from the Shannon entropy and the Fisher information measures. The evaluation of the new metric is performed on a single-assembly PWR test-cased described from the BEAVRS benchmark specifications. The implementation in Serpent 2.1.32 represents a stationary diagnosis metric, alternative to Shannon entropy, but potentially, a stopping criterion between inactive and active cycles.

Original language	English
Title of host publication	Mathematics & Computation (M&C) 2021
Publisher	American Nuclear Society (ANS)
Pages	249-255
ISBN (Electronic)	978-1-71388-631-0
Publication status	Published - 2021
MoE publication type	A4 Article in a conference publication
Event	International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2021 - Virtual, Raleigh, United States Duration: 11 Apr 2021 → 15 Apr 2021

Publication series

Series	Transactions of the American Nuclear Society
Number	3141
ISSN	0003-018X

Conference

Conference	International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2021
Country/Territory	United States
City	Raleigh
Period	11/04/21 → 15/04/21

Funding

This work was funded by Fortum and Neste Foundation (Finland), under grant agreement No. 20190207 (2019) and No. 20200149 (2020) - SMR Safety Analysis and Design Framework.

Keywords

convergence
functional expansion tallies
Monte Carlo
Serpent 2
Shannon-Fisher metric

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https://www.ans.org/pubs/proceedings/article-49998/

Cite this

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title = "Functional Expansion Tally-Based Shannon-Fisher Complexity Metric for Fission Source Convergence Analysis in Serpent 2 Monte Carlo Code",

abstract = "This study presents a new fission source convergence metric, describing an information-theoretic spreading based on Shannon-Fisher statistical complexity measure. The metric is derived from a functional expansion tally-based (FETs) formulation by decomposing the fission source distribution into its spatial moments. The metric analyses whether those moments (and their correspondent expansion coefficients) converge upon an established stopping criterion. The Shannon-Fisher complexity metric provides global and local information from the Shannon entropy and the Fisher information measures. The evaluation of the new metric is performed on a single-assembly PWR test-cased described from the BEAVRS benchmark specifications. The implementation in Serpent 2.1.32 represents a stationary diagnosis metric, alternative to Shannon entropy, but potentially, a stopping criterion between inactive and active cycles.",

keywords = "convergence, functional expansion tallies, Monte Carlo, Serpent 2, Shannon-Fisher metric",

author = "Ana Jambrina and Jaakko Lepp{\"a}nen",

note = "Publisher Copyright: Copyright {\textcopyright} 2021 AMERICAN NUCLEAR SOCIETY, INCORPORATED, LA GRANGE PARK, ILLINOIS 60526.All rights reserved.; International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M\&C 2021 ; Conference date: 11-04-2021 Through 15-04-2021",

year = "2021",

language = "English",

series = "Transactions of the American Nuclear Society",

publisher = "American Nuclear Society (ANS)",

number = "3141",

pages = "249--255",

booktitle = "Mathematics \& Computation (M\&C) 2021",

address = "United States",

}

Jambrina, A & Leppänen, J 2021, Functional Expansion Tally-Based Shannon-Fisher Complexity Metric for Fission Source Convergence Analysis in Serpent 2 Monte Carlo Code. in Mathematics & Computation (M&C) 2021., 49998, American Nuclear Society (ANS), Transactions of the American Nuclear Society, no. 3141, pp. 249-255, International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2021, Raleigh, North Carolina, United States, 11/04/21. <https://www.ans.org/pubs/proceedings/article-49998/>

Functional Expansion Tally-Based Shannon-Fisher Complexity Metric for Fission Source Convergence Analysis in Serpent 2 Monte Carlo Code. / Jambrina, Ana ; Leppänen, Jaakko.
Mathematics & Computation (M&C) 2021. American Nuclear Society (ANS), 2021. p. 249-255 49998 (Transactions of the American Nuclear Society; No. 3141).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

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AU - Jambrina, Ana

AU - Leppänen, Jaakko

PY - 2021

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N2 - This study presents a new fission source convergence metric, describing an information-theoretic spreading based on Shannon-Fisher statistical complexity measure. The metric is derived from a functional expansion tally-based (FETs) formulation by decomposing the fission source distribution into its spatial moments. The metric analyses whether those moments (and their correspondent expansion coefficients) converge upon an established stopping criterion. The Shannon-Fisher complexity metric provides global and local information from the Shannon entropy and the Fisher information measures. The evaluation of the new metric is performed on a single-assembly PWR test-cased described from the BEAVRS benchmark specifications. The implementation in Serpent 2.1.32 represents a stationary diagnosis metric, alternative to Shannon entropy, but potentially, a stopping criterion between inactive and active cycles.

AB - This study presents a new fission source convergence metric, describing an information-theoretic spreading based on Shannon-Fisher statistical complexity measure. The metric is derived from a functional expansion tally-based (FETs) formulation by decomposing the fission source distribution into its spatial moments. The metric analyses whether those moments (and their correspondent expansion coefficients) converge upon an established stopping criterion. The Shannon-Fisher complexity metric provides global and local information from the Shannon entropy and the Fisher information measures. The evaluation of the new metric is performed on a single-assembly PWR test-cased described from the BEAVRS benchmark specifications. The implementation in Serpent 2.1.32 represents a stationary diagnosis metric, alternative to Shannon entropy, but potentially, a stopping criterion between inactive and active cycles.

KW - convergence

KW - functional expansion tallies

KW - Monte Carlo

KW - Serpent 2

KW - Shannon-Fisher metric

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M3 - Conference article in proceedings

AN - SCOPUS:85183597363

T3 - Transactions of the American Nuclear Society

SP - 249

EP - 255

BT - Mathematics & Computation (M&C) 2021

PB - American Nuclear Society (ANS)

T2 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M&C 2021

Y2 - 11 April 2021 through 15 April 2021

ER -

Functional Expansion Tally-Based Shannon-Fisher Complexity Metric for Fission Source Convergence Analysis in Serpent 2 Monte Carlo Code

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