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Coupled Space-Angle Adaptivitiy for Radiation Transport Calculations

Journal Article · · Nuclear Science and Engineering
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This paper describes the development of a coupled space-angle a posteriori error analysis and adaptive method for radiation transport calculations based on the second-order, even-parity form of the transport equation discretized by a variational finite element-spherical harmonics method (FE-PN). Rigorous a posteriori error estimates for the global L2 norm in the even-parity angular flux are derived by utilizing duality arguments. Separate error components for the spatial and angular discretizations are obtained by the adaptive algorithm by first seeking convergence in the spatial variable and then by projecting the spatially converged solution onto the higher-order PN equation to estimate the angular truncation error. The validity of the developed coupled space-angle adaptive refinement strategy is assessed by comparing the developed error indicator with the true error for representative problems in one and two dimensions. The method of manufactured solutions and alternative transport solution methods are used to provide the true error. Comparisons indicate that the space-angle adaptivity framework is capable of guiding the FE-PN method toward the true solution.
Research Organization:
Idaho National Laboratory (INL)
Sponsoring Organization:
DOE - NE
DOE Contract Number:
AC07-99ID13727
OSTI ID:
947198
Report Number(s):
INL/JOU-07-13436
Journal Information:
Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 2 Vol. 161; ISSN NSENAO; ISSN 0029-5639
Country of Publication:
United States
Language:
English

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Related Subjects

99 GENERAL AND MISCELLANEOUS
ALGORITHMS
CONVERGENCE
DIMENSIONS
DUALITY
HARMONICS
RADIATION TRANSPORT
TRANSPORT
a posteriori error analysis
finitie element-spherical harmonics method
radiation transport
space-angle adaptivity