A parallel in energy Krylov solution algorithm for the variational nodal method

Yunzhao Li; E. E. Lewis; Micheal A. Smith

A parallel in energy Krylov solution algorithm for the variational nodal method

Yunzhao Li, E. E. Lewis, Micheal A. Smith^*

^*Corresponding author for this work

Mechanical Engineering

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

5 Scopus citations

Abstract

To reduce the computational expense caused by the large number of energy groups in thermal and fast reactor calculations, we researched using parallelization in energy (i.e. group) of the multi-group response matrix equations derived from the Variational Nodal Method. This study focuses on solving steady-state eigenvalue problems in diffusion theory that are typically needed for depletion and reactivity coefficient calculations. To examine serial and parallel performance, GMRES, a Krylov algorithm, is applied to the multi-group system of equations at each fission source iteration. We also study the impact of using Wielandt acceleration on the eigenvalue/eigenvector problem. Numerical results based on a 72 group thermal and a 216 group fast reactor core problems are obtained for both serial and parallel calculations. The results show reduced CPU times when using GMRES and Wielandt acceleration in both serial and parallel calculations.

Original language	English (US)
Title of host publication	International Conference on the Physics of Reactors 2012, PHYSOR 2012
Subtitle of host publication	Advances in Reactor Physics
Pages	743-752
Number of pages	10
State	Published - 2012
Event	International Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012 - Knoxville, TN, United States Duration: Apr 15 2012 → Apr 20 2012

Publication series

Name	International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics
Volume	1

Other

Other	International Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012
Country/Territory	United States
City	Knoxville, TN
Period	4/15/12 → 4/20/12

Keywords

Energy group parallelization GMRES
Variational nodal method
Wielandt

ASJC Scopus subject areas

Nuclear Energy and Engineering

Cite this

@inproceedings{c9f0bafe0d914c10bdcd4d46d5e537fa,

title = "A parallel in energy Krylov solution algorithm for the variational nodal method",

abstract = "To reduce the computational expense caused by the large number of energy groups in thermal and fast reactor calculations, we researched using parallelization in energy (i.e. group) of the multi-group response matrix equations derived from the Variational Nodal Method. This study focuses on solving steady-state eigenvalue problems in diffusion theory that are typically needed for depletion and reactivity coefficient calculations. To examine serial and parallel performance, GMRES, a Krylov algorithm, is applied to the multi-group system of equations at each fission source iteration. We also study the impact of using Wielandt acceleration on the eigenvalue/eigenvector problem. Numerical results based on a 72 group thermal and a 216 group fast reactor core problems are obtained for both serial and parallel calculations. The results show reduced CPU times when using GMRES and Wielandt acceleration in both serial and parallel calculations.",

keywords = "Energy group parallelization GMRES, Variational nodal method, Wielandt",

author = "Yunzhao Li and Lewis, {E. E.} and Smith, {Micheal A.}",

year = "2012",

language = "English (US)",

isbn = "9781622763894",

series = "International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics",

pages = "743--752",

booktitle = "International Conference on the Physics of Reactors 2012, PHYSOR 2012",

note = "International Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012 ; Conference date: 15-04-2012 Through 20-04-2012",

}

Li, Y, Lewis, EE & Smith, MA 2012, A parallel in energy Krylov solution algorithm for the variational nodal method. in International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics. International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics, vol. 1, pp. 743-752, International Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012, Knoxville, TN, United States, 4/15/12.

A parallel in energy Krylov solution algorithm for the variational nodal method. / Li, Yunzhao; Lewis, E. E.; Smith, Micheal A.
International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics. 2012. p. 743-752 (International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics; Vol. 1).

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

TY - GEN

T1 - A parallel in energy Krylov solution algorithm for the variational nodal method

AU - Li, Yunzhao

AU - Lewis, E. E.

AU - Smith, Micheal A.

PY - 2012

Y1 - 2012

N2 - To reduce the computational expense caused by the large number of energy groups in thermal and fast reactor calculations, we researched using parallelization in energy (i.e. group) of the multi-group response matrix equations derived from the Variational Nodal Method. This study focuses on solving steady-state eigenvalue problems in diffusion theory that are typically needed for depletion and reactivity coefficient calculations. To examine serial and parallel performance, GMRES, a Krylov algorithm, is applied to the multi-group system of equations at each fission source iteration. We also study the impact of using Wielandt acceleration on the eigenvalue/eigenvector problem. Numerical results based on a 72 group thermal and a 216 group fast reactor core problems are obtained for both serial and parallel calculations. The results show reduced CPU times when using GMRES and Wielandt acceleration in both serial and parallel calculations.

AB - To reduce the computational expense caused by the large number of energy groups in thermal and fast reactor calculations, we researched using parallelization in energy (i.e. group) of the multi-group response matrix equations derived from the Variational Nodal Method. This study focuses on solving steady-state eigenvalue problems in diffusion theory that are typically needed for depletion and reactivity coefficient calculations. To examine serial and parallel performance, GMRES, a Krylov algorithm, is applied to the multi-group system of equations at each fission source iteration. We also study the impact of using Wielandt acceleration on the eigenvalue/eigenvector problem. Numerical results based on a 72 group thermal and a 216 group fast reactor core problems are obtained for both serial and parallel calculations. The results show reduced CPU times when using GMRES and Wielandt acceleration in both serial and parallel calculations.

KW - Energy group parallelization GMRES

KW - Variational nodal method

KW - Wielandt

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M3 - Conference contribution

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T3 - International Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics

SP - 743

EP - 752

BT - International Conference on the Physics of Reactors 2012, PHYSOR 2012

T2 - International Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012

Y2 - 15 April 2012 through 20 April 2012

ER -

A parallel in energy Krylov solution algorithm for the variational nodal method

Abstract

Publication series

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Keywords

ASJC Scopus subject areas

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