Error analysis of the quartic nodal expansion method for slab geometry

Conference · Wed Feb 01 00:00:00 EST 1995

OSTI ID:10122628

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)

This paper presents an analysis of the quartic polynomial Nodal Expansion Method (NEM) for one-dimensional neutron diffusion calculations. As part of an ongoing effort to develop an adaptive mesh refinement strategy for use in state-of-the-art nodal kinetics codes, we derive a priori error bounds on the computed solution for uniform meshes and validate them using a simple test problem. Predicted error bounds are found to be greater than computed maximum absolute errors by no more than a factor of six allowing mesh size selection to reflect desired accuracy. We also quantify the rapid convergence in the NEM computed solution as a function of mesh size.

• Research Organization: Oak Ridge National Lab., TN (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 10122628
• Report Number(s): CONF-950420-19; ON: DE95007373; TRN: 95:002593
• Resource Relation: Conference: International conference on mathematics and computations, reactor physics, and environmental analyses,Portland, OR (United States),30 Apr - 4 May 1995; Other Information: PBD: [1995]
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
22 GENERAL STUDIES OF NUCLEAR REACTORS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NUMERICAL SOLUTION
ACCURACY
NEUTRON DIFFUSION EQUATION
NEUTRON TRANSPORT
COMPUTERIZED SIMULATION
N CODES
663610
220100
990200
NEUTRON PHYSICS
THEORY AND CALCULATION
MATHEMATICS AND COMPUTERS