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Title: Adjoint-based constant-mass partial derivatives

In transport theory, adjoint-based partial derivatives with respect to mass density are constant-volume derivatives. Likewise, adjoint-based partial derivatives with respect to surface locations (i.e., internal interface locations and the outer system boundary) are constant-density derivatives. This study derives the constant-mass partial derivative of a response with respect to an internal interface location or the outer system boundary and the constant-mass partial derivative of a response with respect to the mass density of a region. Numerical results are given for a multiregion two-dimensional (r-z) cylinder for three very different responses: the uncollided gamma-ray flux at an external detector point, k eff of the system, and the total neutron leakage. Finally, results from the derived formulas compare extremely well with direct perturbation calculations.
Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-22871
Journal ID: ISSN 0306-4549; TRN: US1702884
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Annals of Nuclear Energy (Oxford)
Additional Journal Information:
Journal Name: Annals of Nuclear Energy (Oxford); Journal Volume: 110; Journal ID: ISSN 0306-4549
Publisher:
Elsevier
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation (NA-20)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; perturbation theory; surface perturbation theory; partial derivative
OSTI Identifier:
1402629

Favorite, Jeffrey A. Adjoint-based constant-mass partial derivatives. United States: N. p., Web. doi:10.1016/j.anucene.2017.08.015.
Favorite, Jeffrey A. Adjoint-based constant-mass partial derivatives. United States. doi:10.1016/j.anucene.2017.08.015.
Favorite, Jeffrey A. 2017. "Adjoint-based constant-mass partial derivatives". United States. doi:10.1016/j.anucene.2017.08.015. https://www.osti.gov/servlets/purl/1402629.
@article{osti_1402629,
title = {Adjoint-based constant-mass partial derivatives},
author = {Favorite, Jeffrey A.},
abstractNote = {In transport theory, adjoint-based partial derivatives with respect to mass density are constant-volume derivatives. Likewise, adjoint-based partial derivatives with respect to surface locations (i.e., internal interface locations and the outer system boundary) are constant-density derivatives. This study derives the constant-mass partial derivative of a response with respect to an internal interface location or the outer system boundary and the constant-mass partial derivative of a response with respect to the mass density of a region. Numerical results are given for a multiregion two-dimensional (r-z) cylinder for three very different responses: the uncollided gamma-ray flux at an external detector point, keff of the system, and the total neutron leakage. Finally, results from the derived formulas compare extremely well with direct perturbation calculations.},
doi = {10.1016/j.anucene.2017.08.015},
journal = {Annals of Nuclear Energy (Oxford)},
number = ,
volume = 110,
place = {United States},
year = {2017},
month = {9}
}