2D/1D approximations to the 3D neutron transport equation. II: Numerical comparisons

Conference · Mon Jul 01 00:00:00 EDT 2013

OSTI ID:22212803

Kelley, B. W.; Collins, B.; Larsen, E. W. ^[1]

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1. Department of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, MI 48109 (United States)

In a companion paper [1], (i) several new '2D/1D equations' are introduced as accurate approximations to the 3D Boltzmann transport equation, (ii) the simplest of these approximate equations is systematically discretized, and (iii) a theoretically stable iteration scheme is developed to solve the discrete equations. In this paper, numerical results are presented that confirm the theoretical predictions made in [1]. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22212803
• Resource Relation: Conference: M and C 2013: 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Sun Valley, ID (United States), 5-9 May 2013; Other Information: Country of input: France; 7 refs.; Related Information: In: Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013| 3016 p.
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
APPROXIMATIONS
BOLTZMANN EQUATION
COMPARATIVE EVALUATIONS
FOURIER ANALYSIS
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
ONE-DIMENSIONAL CALCULATIONS
SIMULATION
THREE-DIMENSIONAL CALCULATIONS