Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

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., TN (US)
Sponsoring Organization:
USDOE Office of Science (US)
DOE Contract Number:
AC05-96OR22464
OSTI ID:
11468
Report Number(s):
ORNL/CP-104570
Country of Publication:
United States
Language:
English

Similar Records

Error estimation and adaptive order nodal method for solving multidimensional transport problems
Conference · Wed Dec 31 23:00:00 EST 1997 · OSTI ID:634107

Coupled Space-Angle Adaptivitiy for Radiation Transport Calculations
Journal Article · Sat Jan 31 23:00:00 EST 2009 · Nuclear Science and Engineering · OSTI ID:947198

Solution Irregularity Remediation for Spatial Discretization Error Estimation for SN Transport Solutions
Journal Article · Sun Nov 07 23:00:00 EST 2021 · Nuclear Science and Engineering · OSTI ID:1997172