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Title: A Posteriori Error Estimation for a Nodal Method in Neutron Transport Calculations

Conference ·
OSTI ID:11468

An a posteriori error analysis of the spatial approximation is developed for the one-dimensional Arbitrarily High Order Transport-Nodal method. The error estimator preserves the order of convergence of the method when the mesh size tends to zero with respect to the L{sup 2} norm. It is based on the difference between two discrete solutions that are available from the analysis. The proposed estimator is decomposed into error indicators to allow the quantification of local errors. Some test problems with isotropic scattering are solved to compare the behavior of the true error to that of the estimated error.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (US)
DOE Contract Number:
AC05-96OR22464
OSTI ID:
11468
Report Number(s):
ORNL/CP-104570; TRN: AH200128%%767
Resource Relation:
Conference: 20th Iberian Latin-American Congress on Computational methods in Engineering, San Paulo (BR), 11/03/1999--11/05/1999; Other Information: PBD: 3 Nov 1999
Country of Publication:
United States
Language:
English