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Title: Discrete ordinates cross-sections generation in parallel plane geometry -- 1: Concept

Abstract

Cross-section formulations derived from the linear Boltzman transport equation have been the subjects of several studies. In these studies, theoretical foundations and concepts are provided, and the solution techniques are derived. The author presents new methods for generating cross-section sets for transport problems, with an arbitrary scattering anisotropy of order L (L {le} N {minus} 1), approximated by the S{sub N} (and P{sub N{minus}1}) methods. The formulations require knowledge of the eigensolutions, which may be determined by a recent eigenvalue equation found in Yavuz. The motivation for this study is to generate few-group cross sections for pin cells (and/or assemblies) using a Monte Carlo code, for example, MCNP, with a continuous-energy cross-section library. However, this work is a first step, and it describes a new concept to perform inverse transport calculations, provided that the surface Green`s functions over desired angular and energy intervals are known.

Authors:
 [1]
  1. Univ. of Texas, Austin, TX (United States)
Publication Date:
OSTI Identifier:
298306
Report Number(s):
CONF-981106-
Journal ID: TANSAO; ISSN 0003-018X; TRN: 99:001937
Resource Type:
Journal Article
Journal Name:
Transactions of the American Nuclear Society
Additional Journal Information:
Journal Volume: 79; Conference: American Nuclear Society winter meeting, Washington, DC (United States), 15-19 Nov 1998; Other Information: PBD: 1998
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; 22 NUCLEAR REACTOR TECHNOLOGY; NEUTRON TRANSPORT THEORY; DISCRETE ORDINATE METHOD; CROSS SECTIONS; SPHERICAL HARMONICS METHOD; REACTOR KINETICS; GREEN FUNCTION

Citation Formats

Yavuz, M. Discrete ordinates cross-sections generation in parallel plane geometry -- 1: Concept. United States: N. p., 1998. Web.
Yavuz, M. Discrete ordinates cross-sections generation in parallel plane geometry -- 1: Concept. United States.
Yavuz, M. 1998. "Discrete ordinates cross-sections generation in parallel plane geometry -- 1: Concept". United States.
@article{osti_298306,
title = {Discrete ordinates cross-sections generation in parallel plane geometry -- 1: Concept},
author = {Yavuz, M},
abstractNote = {Cross-section formulations derived from the linear Boltzman transport equation have been the subjects of several studies. In these studies, theoretical foundations and concepts are provided, and the solution techniques are derived. The author presents new methods for generating cross-section sets for transport problems, with an arbitrary scattering anisotropy of order L (L {le} N {minus} 1), approximated by the S{sub N} (and P{sub N{minus}1}) methods. The formulations require knowledge of the eigensolutions, which may be determined by a recent eigenvalue equation found in Yavuz. The motivation for this study is to generate few-group cross sections for pin cells (and/or assemblies) using a Monte Carlo code, for example, MCNP, with a continuous-energy cross-section library. However, this work is a first step, and it describes a new concept to perform inverse transport calculations, provided that the surface Green`s functions over desired angular and energy intervals are known.},
doi = {},
url = {https://www.osti.gov/biblio/298306}, journal = {Transactions of the American Nuclear Society},
number = ,
volume = 79,
place = {United States},
year = {Thu Dec 31 00:00:00 EST 1998},
month = {Thu Dec 31 00:00:00 EST 1998}
}