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Title: The explicit representation for the angular flux solution in the simplified P{sub N} (SP{sub N}) theory

Abstract

The current SP{sub n} theory formulation, via either the asymptotic method or the variational method, does not provide an explicit and calculable representation for the corresponding angular flux solution. It is therefore not possible to reconstruct from the SP{sub n} solution the corresponding angular flux solution, or to extract from a reference transport solution the corresponding SP{sub n} solution. This makes it impossible to calculate the necessary surface discontinuity factors to force consistency between the SP{sub n} solution and the higher level transport solution. Without discontinuity factors, the superiority of SP{sub n} over diffusion could be significantly degraded in practical applications. In this paper we present a different SP{sub n} formulation that provides the explicit angular flux solution such that the physical picture for the SP{sub n} approximation is transparent and the SP{sub n} discontinuity factors can be calculated. (authors)

Authors:
 [1];  [2]
  1. Apartment 101, Building 2, 788 Hong Xu Road, Shanghai 201103 (China)
  2. Nagoya Univ., Furo-cho, Chikusa-ku, Nagoya, 464-8603 (Japan)
Publication Date:
Research Org.:
American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
OSTI Identifier:
22105571
Resource Type:
Conference
Resource Relation:
Conference: PHYSOR 2012: Conference on Advances in Reactor Physics - Linking Research, Industry, and Education, Knoxville, TN (United States), 15-20 Apr 2012; Other Information: Country of input: France; 2 refs.
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; DIFFUSION; SURFACES; TRANSPORT THEORY; VARIATIONAL METHODS

Citation Formats

Chao, Y. A., and Yamamoto, A. The explicit representation for the angular flux solution in the simplified P{sub N} (SP{sub N}) theory. United States: N. p., 2012. Web.
Chao, Y. A., & Yamamoto, A. The explicit representation for the angular flux solution in the simplified P{sub N} (SP{sub N}) theory. United States.
Chao, Y. A., and Yamamoto, A. 2012. "The explicit representation for the angular flux solution in the simplified P{sub N} (SP{sub N}) theory". United States.
@article{osti_22105571,
title = {The explicit representation for the angular flux solution in the simplified P{sub N} (SP{sub N}) theory},
author = {Chao, Y. A. and Yamamoto, A.},
abstractNote = {The current SP{sub n} theory formulation, via either the asymptotic method or the variational method, does not provide an explicit and calculable representation for the corresponding angular flux solution. It is therefore not possible to reconstruct from the SP{sub n} solution the corresponding angular flux solution, or to extract from a reference transport solution the corresponding SP{sub n} solution. This makes it impossible to calculate the necessary surface discontinuity factors to force consistency between the SP{sub n} solution and the higher level transport solution. Without discontinuity factors, the superiority of SP{sub n} over diffusion could be significantly degraded in practical applications. In this paper we present a different SP{sub n} formulation that provides the explicit angular flux solution such that the physical picture for the SP{sub n} approximation is transparent and the SP{sub n} discontinuity factors can be calculated. (authors)},
doi = {},
url = {https://www.osti.gov/biblio/22105571}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jul 01 00:00:00 EDT 2012},
month = {Sun Jul 01 00:00:00 EDT 2012}
}

Conference:
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