Improved quasi-static method for multi-scheme neutron transport with finite element methods

Yaqi Wang; Vincent M. Laboure; Sebastian Schunert; Mark DeHart; Richard C. Martineau

Improved quasi-static method for multi-scheme neutron transport with finite element methods

Yaqi Wang
, Vincent M. Laboure
, Sebastian Schunert
, Mark DeHart
, Richard C. Martineau

Nuclear Reactor Technology

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

1 Scopus citations

Abstract

We implement the improved quasi-static (IQS) method for the multi-scheme transport with finite element methods in Rattlesnake. A new derivation for IQS based on the weak form is proposed, that is generally applicable to various discretization schemes. We show that the normalization condition can be exactly met. We discuss treating instances when the time derivative term itself is time dependent, for example when it contains the stabilization parameter in self-adjoint angular flux (SAAF) formulation. Numerical results are presented to verify the implementation and to demonstrate the capability.

Original language	English
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	833-845
Number of pages	13
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	08/25/19 → 08/29/19

Keywords

Improved quasi-static
Multi-scheme transport
Rattlesnake
Time-depedent stabilization parameter

Cite this

Wang, Y., Laboure, V. M., Schunert, S., DeHart, M., & Martineau, R. C. (2019). Improved quasi-static method for multi-scheme neutron transport with finite element methods. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 (pp. 833-845). (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019). American Nuclear Society.

Wang, Yaqi ; Laboure, Vincent M. ; Schunert, Sebastian et al. / Improved quasi-static method for multi-scheme neutron transport with finite element methods. International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. American Nuclear Society, 2019. pp. 833-845 (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019).

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title = "Improved quasi-static method for multi-scheme neutron transport with finite element methods",

abstract = "We implement the improved quasi-static (IQS) method for the multi-scheme transport with finite element methods in Rattlesnake. A new derivation for IQS based on the weak form is proposed, that is generally applicable to various discretization schemes. We show that the normalization condition can be exactly met. We discuss treating instances when the time derivative term itself is time dependent, for example when it contains the stabilization parameter in self-adjoint angular flux (SAAF) formulation. Numerical results are presented to verify the implementation and to demonstrate the capability.",

keywords = "Improved quasi-static, Multi-scheme transport, Rattlesnake, Time-depedent stabilization parameter",

author = "Yaqi Wang and Laboure, \{Vincent M.\} and Sebastian Schunert and Mark DeHart and Martineau, \{Richard C.\}",

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",

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

publisher = "American Nuclear Society",

pages = "833--845",

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

}

Wang, Y, Laboure, VM, Schunert, S, DeHart, M & Martineau, RC 2019, Improved quasi-static method for multi-scheme neutron transport with finite element methods. 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. 833-845, 2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019, Portland, United States, 08/25/19.

Improved quasi-static method for multi-scheme neutron transport with finite element methods. / Wang, Yaqi; Laboure, Vincent M.; Schunert, Sebastian et al.
International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. American Nuclear Society, 2019. p. 833-845 (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 › peer-review

TY - GEN

T1 - Improved quasi-static method for multi-scheme neutron transport with finite element methods

AU - Wang, Yaqi

AU - Laboure, Vincent M.

AU - Schunert, Sebastian

AU - DeHart, Mark

AU - Martineau, Richard C.

PY - 2019

Y1 - 2019

N2 - We implement the improved quasi-static (IQS) method for the multi-scheme transport with finite element methods in Rattlesnake. A new derivation for IQS based on the weak form is proposed, that is generally applicable to various discretization schemes. We show that the normalization condition can be exactly met. We discuss treating instances when the time derivative term itself is time dependent, for example when it contains the stabilization parameter in self-adjoint angular flux (SAAF) formulation. Numerical results are presented to verify the implementation and to demonstrate the capability.

AB - We implement the improved quasi-static (IQS) method for the multi-scheme transport with finite element methods in Rattlesnake. A new derivation for IQS based on the weak form is proposed, that is generally applicable to various discretization schemes. We show that the normalization condition can be exactly met. We discuss treating instances when the time derivative term itself is time dependent, for example when it contains the stabilization parameter in self-adjoint angular flux (SAAF) formulation. Numerical results are presented to verify the implementation and to demonstrate the capability.

KW - Improved quasi-static

KW - Multi-scheme transport

KW - Rattlesnake

KW - Time-depedent stabilization parameter

UR - https://www.scopus.com/pages/publications/85075335129

M3 - Conference contribution

AN - SCOPUS:85075335129

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

SP - 833

EP - 845

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 -

Wang Y, Laboure VM, Schunert S, DeHart M, Martineau RC. Improved quasi-static method for multi-scheme neutron transport with finite element methods. In International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019. American Nuclear Society. 2019. p. 833-845. (International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019).

Improved quasi-static method for multi-scheme neutron transport with finite element methods

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