Error analysis of the quadratic nodal expansion method in slab geometry

Conference · Sat Oct 01 04:00:00 EDT 1994

OSTI ID:10189545

Penland, R C; Turinsky, P J ^[1]; Azmy, Y Y ^[2]

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1. North Carolina State Univ., Raleigh, NC (United States)
2. Oak Ridge National Lab., TN (United States)

As part of an effort to develop an adaptive mesh refinement strategy for use in state-of-the-art nodal diffusion codes, the authors derive error bounds on the solution variables of the quadratic Nodal Expansion Method (NEM) in slab geometry. Closure of the system is obtained through flux discontinuity relationships and boundary conditions. In order to verify the analysis presented, the authors compare the quadratic NEM to the analytic solution of a test problem. The test problem for this investigation is a one-dimensional slab [0,20cm] with L{sup 2} = 6.495cm{sup 2} and D = 0.1429cm. The slab has a unit neutron source distributed uniformly throughout and zero flux boundary conditions. The analytic solution to this problem is used to compute the node-average fluxes over a variety of meshes, and these are used to compute the NEM maximum error on each mesh.

• Research Organization: Oak Ridge National Lab., TN (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 10189545
• Report Number(s): CONF-941102--29; ON: DE95001352
• Country of Publication: United States
• Language: English

Related Subjects

663610
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS
990200
MATHEMATICS
MATHEMATICS AND COMPUTERS
NEUTRON DIFFUSION EQUATION
NEUTRON PHYSICS
NODAL EXPANSION METHOD