Spectral and finite element techniques employing an alternative lattice representation

Journal Article · Sat Dec 31 04:00:00 EST 1994 · Transactions of the American Nuclear Society

OSTI ID:89123

Holloway, J P; Wojtowicz, G

A variationally derived nodal method has been developed and implemented in both spectral element and finite element forms for the solution of one-speed, one-dimensional heterogeneous stab reactor problems. Unlike conventional nodal expansion methods our method does not employ node homogenized cross sections; instead an alternative lattice representation based on asymptotic theory is utilized. This form of trial function and the stationary property of a variational principle define a class of nodal methods that ate capable of efficiently achieving order-of-magnitude reductions of eigenvalue and pointwise scalar flux errors as compared to diffusion theory. In this paper we present a brief description of both a spectral element and a finite element implementation of this method and resent some test results.

• OSTI ID: 89123
• Report Number(s): CONF-941102--
• Journal Information: Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 71; ISSN 0003-018X; ISSN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
66 PHYSICS
ACCURACY
CALCULATION METHODS
FINITE ELEMENT METHOD
HETEROGENEOUS REACTOR CORES
NEUTRON TRANSPORT