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Author Barros, R. C.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword NUCLEAR REACTOR TECHNOLOGY ♦ PHYSICS ♦ DISCRETE ORDINATE METHOD ♦ ACCURACY ♦ NEUTRON FLUX ♦ CALCULATION METHODS ♦ SLABS ♦ NEUTRON TRANSPORT ♦ NEUTRON TRANSPORT THEORY ♦ REACTOR PHYSICS ♦ ALGORITHMS ♦ POLYNOMIALS ♦ BOLTZMANN EQUATION ♦ LEGENDRE POLYNOMIALS ♦ YVON METHOD
Abstract We describe the equivalence of discontinuous finite element methods and nonstandard discrete ordinates (S{sub N}) methods for the angular discretization of the Boltzmann equation in slab geometry. To apply the finite element methods to the angular variable {mu}, we first divide the angular domain (-1 {le} {mu} {le} + 1) into a number of contiguous cells, called finite elements. The angular flux is then expanded in a finite set of basis functions defined on each individual cell. In this paper, the basis functions are the Legendre polynomials. It is well known that the conventional Gauss-Legendre S{sub N} equations in slab geometry are equivalent to the P{sub N-1} equations. In other words, we consider the P{sub N-1} expansion of the angular flux inside the whole domain -1 {le} {mu} {le} + 1. The double PN (DPN), or Yvon method, is an alternative method to approximate the slab geometry transport equation, wherein we consider the P{sub N} expansion of the angular flux in each half of the angular domain. Therefore, it is possible to obtain a discrete ordinates method (S{sub 2N+2}) that is equivalent to the DP{sub N} method.
ISSN 0003018X
Educational Use Research
Learning Resource Type Article
Publisher Date 1995-12-31
Publisher Place United States
Journal Transactions of the American Nuclear Society
Volume Number 73
Technical Publication No. CONF-951006-


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