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Author Leonard, A. ♦ McDaniel, C. T.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword NUCLEAR REACTOR TECHNOLOGY ♦ MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS ♦ REACTOR PHYSICS ♦ ERRORS ♦ NEUTRON TRANSPORT THEORY ♦ REACTOR LATTICES
Abstract In the method of characteristics as applied to two-dimensional lattice physics computations, one integrates the transport equation along three-dimensional ray paths corresponding to the discretization chosen for the angular flux {Psi}. The result of integrating through zone i, assuming constant {Sigma}{sub i} and a constant, isotropic source Q within the zone is {Psi}{sup out i}{sub l,m,n} = {Psi}{sup in i}{sub l,m,n} exp ({tau}{sub i}/sin {theta}{sub l}) + [1 - exp ({tau}{sub i}/sin {theta}{sub l})] Q{sub i}/4{pi}{Sigma}{sub ti}, where {tau}{sub i} = -{tau}{sub i} (m,n) is the optical path length in the plane through zone i, and {Psi}{sup in} and {Psi}{sup out} are the angular fluxes entering and leaving the zone, respectively. Here l is a polar angle index, m is a spatial index in the direction normal to the {var_phi} direction (i.e., the y{prime} direction), and n is the index for the azimuthal angle in the plane {var_phi}. In this paper we consider the problem of choosing the discretization in the polar direction (angles and weights) that in some sense minimizes the discretization error in this variable.
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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