Adjointbased constantmass partial derivatives
Abstract
In transport theory, adjointbased partial derivatives with respect to mass density are constantvolume derivatives. Likewise, adjointbased partial derivatives with respect to surface locations (i.e., internal interface locations and the outer system boundary) are constantdensity derivatives. This study derives the constantmass partial derivative of a response with respect to an internal interface location or the outer system boundary and the constantmass partial derivative of a response with respect to the mass density of a region. Numerical results are given for a multiregion twodimensional (rz) cylinder for three very different responses: the uncollided gammaray 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:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 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 (NA20)
 OSTI Identifier:
 1402629
 Report Number(s):
 LAUR1722871
Journal ID: ISSN 03064549; TRN: US1702884
 Grant/Contract Number:
 AC5206NA25396
 Resource 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 03064549
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; perturbation theory; surface perturbation theory; partial derivative
Citation Formats
Favorite, Jeffrey A. Adjointbased constantmass partial derivatives. United States: N. p., 2017.
Web. doi:10.1016/j.anucene.2017.08.015.
Favorite, Jeffrey A. Adjointbased constantmass partial derivatives. United States. doi:10.1016/j.anucene.2017.08.015.
Favorite, Jeffrey A. Fri .
"Adjointbased constantmass partial derivatives". United States. doi:10.1016/j.anucene.2017.08.015. https://www.osti.gov/servlets/purl/1402629.
@article{osti_1402629,
title = {Adjointbased constantmass partial derivatives},
author = {Favorite, Jeffrey A.},
abstractNote = {In transport theory, adjointbased partial derivatives with respect to mass density are constantvolume derivatives. Likewise, adjointbased partial derivatives with respect to surface locations (i.e., internal interface locations and the outer system boundary) are constantdensity derivatives. This study derives the constantmass partial derivative of a response with respect to an internal interface location or the outer system boundary and the constantmass partial derivative of a response with respect to the mass density of a region. Numerical results are given for a multiregion twodimensional (rz) cylinder for three very different responses: the uncollided gammaray 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}
}
Web of Science