Exponentially-convergent Monte Carlo for the 1-D transport equation

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

OSTI ID:22212809

Peterson, J. R.; Morel, J. E.; Ragusa, J. C. ^[1]

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1. Department of Nuclear Engineering, TAMU 3133, Texas A and M University, College Station, TX 77843-3133 (United States)

We define a new exponentially-convergent Monte Carlo method for solving the one-speed 1-D slab-geometry transport equation. This method is based upon the use of a linear discontinuous finite-element trial space in space and direction to represent the transport solution. A space-direction h-adaptive algorithm is employed to restore exponential convergence after stagnation occurs due to inadequate trial-space resolution. This methods uses jumps in the solution at cell interfaces as an error indicator. Computational results are presented demonstrating the efficacy of the new approach. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22212809
• 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; 9 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
ALGORITHMS
CONVERGENCE
FINITE ELEMENT METHOD
MONTE CARLO METHOD
RESOLUTION
TRANSPORT THEORY