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Title: Tailored spherical harmonics for coupled lattice whole-core variational nodal transport calculations.

Abstract

No abstract prepared.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
938607
Report Number(s):
ANL/NE/CP-56753
TRN: US0805952
DOE Contract Number:
DE-AC02-06CH11357
Resource Type:
Conference
Resource Relation:
Conference: American Nuclear Society Winter Meeting and Nuclear Technology Expo; Nov. 12, 2006 - Nov. 16, 2006; Alubuquerque, NM
Country of Publication:
United States
Language:
ENGLISH
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; 97; SPHERICAL HARMONICS; RADIATION TRANSPORT; REACTORS; COMPUTER CALCULATIONS

Citation Formats

Smith, M. A., Palmiotti, G., Lewis, E. E., Nuclear Engineering Division, and Northwestern Univ. Tailored spherical harmonics for coupled lattice whole-core variational nodal transport calculations.. United States: N. p., 2006. Web.
Smith, M. A., Palmiotti, G., Lewis, E. E., Nuclear Engineering Division, & Northwestern Univ. Tailored spherical harmonics for coupled lattice whole-core variational nodal transport calculations.. United States.
Smith, M. A., Palmiotti, G., Lewis, E. E., Nuclear Engineering Division, and Northwestern Univ. Sun . "Tailored spherical harmonics for coupled lattice whole-core variational nodal transport calculations.". United States. doi:.
@article{osti_938607,
title = {Tailored spherical harmonics for coupled lattice whole-core variational nodal transport calculations.},
author = {Smith, M. A. and Palmiotti, G. and Lewis, E. E. and Nuclear Engineering Division and Northwestern Univ.},
abstractNote = {No abstract prepared.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

Conference:
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  • The simplified spherical harmonics (SP{sub N}) method has been used as an approximation to the transport equation in a number of situations. Recently, the SP{sub N} method has been formulated within the framework of the variational nodal method (VNM). Implementation in the VARIANT code indicated that for many two and three dimensional problems, near P{sub N} accuracy can be obtained at a fraction of the Cost. Perturbation methods offer additional computational cost reduction for reactor core calculations and are indispensable for performing a variety of calculations including sensitivity studies and the breakdown by components of reactivity worths. Here, we extendmore » the perturbation method developed for the VNM in the full P{sub N} approximation to treat simplified spherical harmonics. The change in reactivity predicted by both first order and exact perturbation theory using the SP{sub N} approximation is demonstrated for a benchmark problem and compared to diffusion and full P{sub N} estimates.« less
  • Recent boiling water reactor (BWR) core and fuel designs have become more sophisticated and heterogeneous to improve fuel cycle cost, thermal margin, etc. These improvements, however, tend to lead to a strong interference effect among fuel assemblies, and it my cause some inaccuracies in the BWR core analyses by advanced nodal codes. Furthermore, the introduction of mixed-oxide (MOX) fuel will lead to a much stronger interference effect between MOX and UO{sub 2} fuel assemblies. However, the CHAPLET multiassembly characteristics transport code was developed recently to solve two-dimensional cell-heterogeneous whole-core problems efficiently, and its results can be used as reference whole-coremore » solutions to verify the accuracy of nodal core calculations. In this paper, the results of nodal core calculations were compared with their reference whole-core transport solutions to verify their accuracy (in k{sub eff}, assembly power and pin power via pin power reconstruction) of the advanced nodal method on both UO{sub 2} and MOX BWR whole-core analyses. Especially, it was investigated if there were any significant differences in the accuracy between MOX and UO{sub 2} results.« less
  • Recently, the variational nodal method has been extended through the use of the Rumyantsev interface conditions to solve the spherical harmonics (P{sub N}) equations of arbitrary odd order. In this paper, the authors generalize earlier x-y geometry work to fit the corresponding simplified spherical harmonics (SP{sub N}) equations into the variational nodal framework. Both P{sub N} and SP{sub N} approximations are implemented in the multigroup VARIANT code at Argonne National Laboratory in two and three dimensional Cartesian and hexagonal geometries. The availability of angular approximations through P{sub 5} and SP{sub 5}, and of flat, linear and quadratic spatial interface approximationsmore » allows investigation of both spatial truncation and angular approximation errors. Moreover, the SP{sub 3} approximation offers a cost-effective method for reducing transport errors.« less
  • Under the assumption of isotropic scattering, the simplified spherical harmonics method (SP{sub N}) was recently formulated in variational nodal form and implemented successfully as an option of the VARIANT code. The authors here remove the isotopic scattering restriction. The variational nodal form of the SPN approximation is formulated and implemented with both within-group and group-to-group anisotropic scattering. Results are presented for a model problem previously utilized with the standard P{sub N} variational nodal method.