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Title: Error analysis of the quartic nodal expansion method for slab geometry

Abstract

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.

Authors:
;  [1];  [2]
  1. North Carolina State Univ., Raleigh, NC (United States)
  2. Oak Ridge National Lab., TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab., TN (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10122628
Report Number(s):
CONF-950420-19
ON: DE95007373; TRN: 95:002593
DOE Contract Number:  
AC05-84OR21400
Resource Type:
Conference
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
Subject:
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

Citation Formats

Penland, R.C., Turinsky, P.J., and Azmy, Y.Y. Error analysis of the quartic nodal expansion method for slab geometry. United States: N. p., 1995. Web.
Penland, R.C., Turinsky, P.J., & Azmy, Y.Y. Error analysis of the quartic nodal expansion method for slab geometry. United States.
Penland, R.C., Turinsky, P.J., and Azmy, Y.Y. Wed . "Error analysis of the quartic nodal expansion method for slab geometry". United States. https://www.osti.gov/servlets/purl/10122628.
@article{osti_10122628,
title = {Error analysis of the quartic nodal expansion method for slab geometry},
author = {Penland, R.C. and Turinsky, P.J. and Azmy, Y.Y.},
abstractNote = {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.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1995},
month = {2}
}

Conference:
Other availability
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