Adjoint equation of nodal green's function method

Fu Li; Yaqi Wang; Zhengpei Luo; Wenfeng Liu; Song Han

Adjoint equation of nodal green's function method

Fu Li
, Yaqi Wang
, Zhengpei Luo
, Wenfeng Liu
, Song Han

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

Abstract

Adjoint neutronics equation is frequently referenced in perturbation analysis and higher order harmonics calculation. For modern nodal method, there are two types of adjoint equations, that's is the physical adjoint equation and the mathematical adjoint equation. For each type of nodal equations, the definition and solution strategy for forward equation is different, so the definition and solution strategy for adjoint equation is also different. Taking Nodal Green's Function Method (NGFM) as an example, the physical adjoint equation and mathematical equation is totally different, the mathematical adjoint equation is required for physical analysis, and the solution of the mathematical adjoint equation requires special strategy. The numerical result about the solution of the mathematical adjoint equation, the applications of the mathematical adjoint into the perturbation analysis and the higher order harmonics calculation proves the importance and success of definition and solution of the mathematical adjoint equation of NGFM.

Original language	English
Title of host publication	Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology
Subtitle of host publication	Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting
Publisher	American Nuclear Society
ISBN (Electronic)	0894486721, 9780894486722
State	Published - 2002
Externally published	Yes
Event	2002 International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing, PHYSOR 2002 - Seoul, Korea, Republic of Duration: Oct 7 2002 → Oct 10 2002

Publication series

Name	Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting

Conference

Conference	2002 International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing, PHYSOR 2002
Country/Territory	Korea, Republic of
City	Seoul
Period	10/7/02 → 10/10/02

Keywords

Higher order harmonics
Mathematical adjoint equations
Nodal Green's function method
Perturbation theory
Physical adjoint equation

Cite this

Li, F., Wang, Y., Luo, Z., Liu, W., & Han, S. (2002). Adjoint equation of nodal green's function method. In Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting (Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting). American Nuclear Society.

Li, Fu ; Wang, Yaqi ; Luo, Zhengpei et al. / Adjoint equation of nodal green's function method. Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting. American Nuclear Society, 2002. (Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting).

@inproceedings{892280b333ad45b3991c607493c43275,

title = "Adjoint equation of nodal green's function method",

abstract = "Adjoint neutronics equation is frequently referenced in perturbation analysis and higher order harmonics calculation. For modern nodal method, there are two types of adjoint equations, that's is the physical adjoint equation and the mathematical adjoint equation. For each type of nodal equations, the definition and solution strategy for forward equation is different, so the definition and solution strategy for adjoint equation is also different. Taking Nodal Green's Function Method (NGFM) as an example, the physical adjoint equation and mathematical equation is totally different, the mathematical adjoint equation is required for physical analysis, and the solution of the mathematical adjoint equation requires special strategy. The numerical result about the solution of the mathematical adjoint equation, the applications of the mathematical adjoint into the perturbation analysis and the higher order harmonics calculation proves the importance and success of definition and solution of the mathematical adjoint equation of NGFM.",

keywords = "Higher order harmonics, Mathematical adjoint equations, Nodal Green's function method, Perturbation theory, Physical adjoint equation",

author = "Fu Li and Yaqi Wang and Zhengpei Luo and Wenfeng Liu and Song Han",

note = "Publisher Copyright: {\textcopyright} PHYSOR 2002.All right reserved.; 2002 International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing, PHYSOR 2002 ; Conference date: 07-10-2002 Through 10-10-2002",

year = "2002",

language = "English",

series = "Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting",

publisher = "American Nuclear Society",

booktitle = "Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology",

}

Li, F, Wang, Y, Luo, Z, Liu, W & Han, S 2002, Adjoint equation of nodal green's function method. in Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting. Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting, American Nuclear Society, 2002 International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing, PHYSOR 2002, Seoul, Korea, Republic of, 10/7/02.

Adjoint equation of nodal green's function method. / Li, Fu; Wang, Yaqi; Luo, Zhengpei et al.
Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting. American Nuclear Society, 2002. (Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting).

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

TY - GEN

T1 - Adjoint equation of nodal green's function method

AU - Li, Fu

AU - Wang, Yaqi

AU - Luo, Zhengpei

AU - Liu, Wenfeng

AU - Han, Song

PY - 2002

Y1 - 2002

N2 - Adjoint neutronics equation is frequently referenced in perturbation analysis and higher order harmonics calculation. For modern nodal method, there are two types of adjoint equations, that's is the physical adjoint equation and the mathematical adjoint equation. For each type of nodal equations, the definition and solution strategy for forward equation is different, so the definition and solution strategy for adjoint equation is also different. Taking Nodal Green's Function Method (NGFM) as an example, the physical adjoint equation and mathematical equation is totally different, the mathematical adjoint equation is required for physical analysis, and the solution of the mathematical adjoint equation requires special strategy. The numerical result about the solution of the mathematical adjoint equation, the applications of the mathematical adjoint into the perturbation analysis and the higher order harmonics calculation proves the importance and success of definition and solution of the mathematical adjoint equation of NGFM.

AB - Adjoint neutronics equation is frequently referenced in perturbation analysis and higher order harmonics calculation. For modern nodal method, there are two types of adjoint equations, that's is the physical adjoint equation and the mathematical adjoint equation. For each type of nodal equations, the definition and solution strategy for forward equation is different, so the definition and solution strategy for adjoint equation is also different. Taking Nodal Green's Function Method (NGFM) as an example, the physical adjoint equation and mathematical equation is totally different, the mathematical adjoint equation is required for physical analysis, and the solution of the mathematical adjoint equation requires special strategy. The numerical result about the solution of the mathematical adjoint equation, the applications of the mathematical adjoint into the perturbation analysis and the higher order harmonics calculation proves the importance and success of definition and solution of the mathematical adjoint equation of NGFM.

KW - Higher order harmonics

KW - Mathematical adjoint equations

KW - Nodal Green's function method

KW - Perturbation theory

KW - Physical adjoint equation

UR - https://www.scopus.com/pages/publications/85104056728

M3 - Conference contribution

AN - SCOPUS:85104056728

T3 - Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting

BT - Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology

PB - American Nuclear Society

T2 - 2002 International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing, PHYSOR 2002

Y2 - 7 October 2002 through 10 October 2002

ER -

Li F, Wang Y, Luo Z, Liu W, Han S. Adjoint equation of nodal green's function method. In Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting. American Nuclear Society. 2002. (Proceedings of the PHYSOR 2002 - International Conference on the New Frontiers of Nuclear Technology : Reactor Physics, Safety and High-Performance Computing - The ANS 2002 RPD Topical Meeting).

Adjoint equation of nodal green's function method

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