Verification of the fission matrix decomposition method against two axially heterogeneous problems

S. Terlizzi; D. Kotlyar

Verification of the fission matrix decomposition method against two axially heterogeneous problems

S. Terlizzi
, D. Kotlyar

Ken and Mary Alice Lindquist Department of Nuclear Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The Fission Matrix Decomposition method (FMD) is a new computational method to solve efficiently and accurately the steady-state neutron transport equation. The method relies on the precomputation of partial fission matrices and coupling coefficients that are then combined to reconstruct the full-problem Fission Matrix (FM). In this paper, the FMD is utilized to predict the axial fission source distribution and the effective multiplication factor of two test problems: (a) the Boiling Water Reactor (BWR) unit cell with realistic void distribution and (b) the Resource-renewable Boiling Water Reactor assembly case. The FMD was able to predict k-eff withing 20 pcm and 1 pcm respectively with a mean absolute percentage error lower than 1%.

Original language	English (US)
Title of host publication	International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019
Publisher	American Nuclear Society
Pages	2220-2227
Number of pages	8
ISBN (Electronic)	9780894487699
State	Published - 2019
Event	2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 - Portland, United States Duration: Aug 25 2019 → Aug 29 2019

Publication series

Name	International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019

Conference

Conference	2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019
Country/Territory	United States
City	Portland
Period	8/25/19 → 8/29/19

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

All Science Journal Classification (ASJC) codes

Applied Mathematics
Nuclear Energy and Engineering

Cite this

Terlizzi, S., & Kotlyar, D. (2019). Verification of the fission matrix decomposition method against two axially heterogeneous problems. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 (pp. 2220-2227). (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019). American Nuclear Society.

Terlizzi, S. ; Kotlyar, D. / Verification of the fission matrix decomposition method against two axially heterogeneous problems. International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. American Nuclear Society, 2019. pp. 2220-2227 (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019).

@inproceedings{30bc35efb23647a39175865e4b2ab2e5,

title = "Verification of the fission matrix decomposition method against two axially heterogeneous problems",

abstract = "The Fission Matrix Decomposition method (FMD) is a new computational method to solve efficiently and accurately the steady-state neutron transport equation. The method relies on the precomputation of partial fission matrices and coupling coefficients that are then combined to reconstruct the full-problem Fission Matrix (FM). In this paper, the FMD is utilized to predict the axial fission source distribution and the effective multiplication factor of two test problems: (a) the Boiling Water Reactor (BWR) unit cell with realistic void distribution and (b) the Resource-renewable Boiling Water Reactor assembly case. The FMD was able to predict k-eff withing 20 pcm and 1 pcm respectively with a mean absolute percentage error lower than 1\%.",

author = "S. Terlizzi and D. Kotlyar",

note = "Publisher Copyright: {\textcopyright} 2019 American Nuclear Society. All rights reserved.; 2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 ; Conference date: 25-08-2019 Through 29-08-2019",

year = "2019",

language = "English (US)",

series = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019",

publisher = "American Nuclear Society",

pages = "2220--2227",

booktitle = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019",

address = "United States",

}

Terlizzi, S & Kotlyar, D 2019, Verification of the fission matrix decomposition method against two axially heterogeneous problems. in International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019, American Nuclear Society, pp. 2220-2227, 2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019, Portland, United States, 8/25/19.

Verification of the fission matrix decomposition method against two axially heterogeneous problems. / Terlizzi, S.; Kotlyar, D.
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. American Nuclear Society, 2019. p. 2220-2227 (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Verification of the fission matrix decomposition method against two axially heterogeneous problems

AU - Terlizzi, S.

AU - Kotlyar, D.

PY - 2019

Y1 - 2019

N2 - The Fission Matrix Decomposition method (FMD) is a new computational method to solve efficiently and accurately the steady-state neutron transport equation. The method relies on the precomputation of partial fission matrices and coupling coefficients that are then combined to reconstruct the full-problem Fission Matrix (FM). In this paper, the FMD is utilized to predict the axial fission source distribution and the effective multiplication factor of two test problems: (a) the Boiling Water Reactor (BWR) unit cell with realistic void distribution and (b) the Resource-renewable Boiling Water Reactor assembly case. The FMD was able to predict k-eff withing 20 pcm and 1 pcm respectively with a mean absolute percentage error lower than 1%.

AB - The Fission Matrix Decomposition method (FMD) is a new computational method to solve efficiently and accurately the steady-state neutron transport equation. The method relies on the precomputation of partial fission matrices and coupling coefficients that are then combined to reconstruct the full-problem Fission Matrix (FM). In this paper, the FMD is utilized to predict the axial fission source distribution and the effective multiplication factor of two test problems: (a) the Boiling Water Reactor (BWR) unit cell with realistic void distribution and (b) the Resource-renewable Boiling Water Reactor assembly case. The FMD was able to predict k-eff withing 20 pcm and 1 pcm respectively with a mean absolute percentage error lower than 1%.

UR - https://www.scopus.com/pages/publications/85075397405

UR - https://www.scopus.com/pages/publications/85075397405#tab=citedBy

M3 - Conference contribution

AN - SCOPUS:85075397405

T3 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019

SP - 2220

EP - 2227

BT - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019

PB - American Nuclear Society

T2 - 2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019

Y2 - 25 August 2019 through 29 August 2019

ER -

Terlizzi S, Kotlyar D. Verification of the fission matrix decomposition method against two axially heterogeneous problems. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. American Nuclear Society. 2019. p. 2220-2227. (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019).

Verification of the fission matrix decomposition method against two axially heterogeneous problems

Abstract

Publication series

Conference

UN SDGs

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this