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The variational nodal method: A three-dimensional transport method in Cartesian, triangular, and hexagonal geometries

Conference · · Transactions of the American Nuclear Society; (United States)
OSTI ID:6708463
;  [1];  [2];
  1. Argonne National Lab., IL (United States)
  2. Northwestern Univ., Evanston, IL (United States)
+ Show Author Affiliations

The variational nodal method (VNM) has been generalized to three dimensions and used to solve a set of five criticality problems, in Cartesian, triangular, and hexagonal geometries. The code is implemented within the IDF 3D neutronics production code on a Cray-XMP. The first four benchmarks are taken from Takeda and Ikeda, and the last is a simplified sixth-core model of the Experimental Breeder Reactor II (EBR-II). Comparisons are made to various S[sub N] codes, the other nodal methods, and Monte Carlo reference solutions. The VNM is based on a variational principle whose Euler-Lagrange equation is the even-parity transport equation. Nodal balance is imposed through the odd-parity fluxes used as a Lagrange multiplier on nodal interfaces. Even- and odd-parity fluxes are expanded in a classical Ritz procedure with complete sets of orthogonal polynomials in space and angle. The VNM is cast in response matrix form, and the even- and odd-parity fluxes are replaced by partial current moments on the nodal interfaces.

OSTI ID:
6708463
Report Number(s):
CONF-921102--
Journal Information:
Transactions of the American Nuclear Society; (United States), Journal Name: Transactions of the American Nuclear Society; (United States) Vol. 66; ISSN 0003-018X; ISSN TANSAO
Country of Publication:
United States
Language:
English

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Related Subjects

663620* -- Physics of Radiations Other Than Neutrons-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BENCHMARKS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPUTER CODES
D CODES
DISCRETE ORDINATE METHOD
EVALUATION
MONTE CARLO METHOD
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NODAL EXPANSION METHOD
RADIATION TRANSPORT
THREE-DIMENSIONAL CALCULATIONS