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Title: Revisit boundary conditions for the self-adjoint angular flux formulation

Abstract

We revisit the boundary conditions for SAAF. We derived the equivalent parity variational form ready for coding up. The more rigorous approach of evaluating odd parity should be solving the odd parity equation coupled with the even parity. We proposed a symmetric reflecting boundary condition although neither positive definiteness nor even-odd decoupling is achieved. A simple numerical test verifies the validity of these boundary conditions.

Authors:
 [1];  [1]
  1. Idaho National Lab. (INL), Idaho Falls, ID (United States)
Publication Date:
Research Org.:
Idaho National Lab. (INL), Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1177213
Report Number(s):
INL/CON-14-31057
TRN: US1500148
DOE Contract Number:
DE-AC07-05ID14517
Resource Type:
Conference
Resource Relation:
Conference: PHYSOR 2014. The Role of Reactor Physics toward a Sustainable Future, Kyoto (Japan), 28 Sep - 3 Oct 2014
Country of Publication:
United States
Language:
English
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; BOUNDARY CONDITIONS; PARITY; SYMMETRY; REACTOR KINETICS; MULTIGROUP THEORY; FINITE ELEMENT METHOD; CONVERGENCE; Self-adjoint angular flux; Transport

Citation Formats

Wang, Yaqi, and Gleicher, Frederick N. Revisit boundary conditions for the self-adjoint angular flux formulation. United States: N. p., 2015. Web.
Wang, Yaqi, & Gleicher, Frederick N. Revisit boundary conditions for the self-adjoint angular flux formulation. United States.
Wang, Yaqi, and Gleicher, Frederick N. Sun . "Revisit boundary conditions for the self-adjoint angular flux formulation". United States. doi:. https://www.osti.gov/servlets/purl/1177213.
@article{osti_1177213,
title = {Revisit boundary conditions for the self-adjoint angular flux formulation},
author = {Wang, Yaqi and Gleicher, Frederick N.},
abstractNote = {We revisit the boundary conditions for SAAF. We derived the equivalent parity variational form ready for coding up. The more rigorous approach of evaluating odd parity should be solving the odd parity equation coupled with the even parity. We proposed a symmetric reflecting boundary condition although neither positive definiteness nor even-odd decoupling is achieved. A simple numerical test verifies the validity of these boundary conditions.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Mar 01 00:00:00 EST 2015},
month = {Sun Mar 01 00:00:00 EST 2015}
}

Conference:
Other availability
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