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Title: (U) Analytic First and Second Derivatives of the Uncollided Leakage for a Homogeneous Sphere

Abstract

The second-order adjoint sensitivity analysis methodology (2nd-ASAM), developed by Cacuci, has been applied by Cacuci to derive second derivatives of a response with respect to input parameters for uncollided particles in an inhomogeneous transport problem. In this memo, we present an analytic benchmark for verifying the derivatives of the 2nd-ASAM. The problem is a homogeneous sphere, and the response is the uncollided total leakage. This memo does not repeat the formulas given in Ref. 2. We are preparing a journal article that will include the derivation of Ref. 2 and the benchmark of this memo.

Authors:
 [1]
  1. 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)
OSTI Identifier:
1356096
Report Number(s):
LA-UR-17-23453
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Favorite, Jeffrey A. (U) Analytic First and Second Derivatives of the Uncollided Leakage for a Homogeneous Sphere. United States: N. p., 2017. Web. doi:10.2172/1356096.
Favorite, Jeffrey A. (U) Analytic First and Second Derivatives of the Uncollided Leakage for a Homogeneous Sphere. United States. doi:10.2172/1356096.
Favorite, Jeffrey A. Wed . "(U) Analytic First and Second Derivatives of the Uncollided Leakage for a Homogeneous Sphere". United States. doi:10.2172/1356096. https://www.osti.gov/servlets/purl/1356096.
@article{osti_1356096,
title = {(U) Analytic First and Second Derivatives of the Uncollided Leakage for a Homogeneous Sphere},
author = {Favorite, Jeffrey A.},
abstractNote = {The second-order adjoint sensitivity analysis methodology (2nd-ASAM), developed by Cacuci, has been applied by Cacuci to derive second derivatives of a response with respect to input parameters for uncollided particles in an inhomogeneous transport problem. In this memo, we present an analytic benchmark for verifying the derivatives of the 2nd-ASAM. The problem is a homogeneous sphere, and the response is the uncollided total leakage. This memo does not repeat the formulas given in Ref. 2. We are preparing a journal article that will include the derivation of Ref. 2 and the benchmark of this memo.},
doi = {10.2172/1356096},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Apr 26 00:00:00 EDT 2017},
month = {Wed Apr 26 00:00:00 EDT 2017}
}

Technical Report:

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