Exponential Monte Carlo Convergence on a Homogeneous Right Parallelepiped Using the Reduced Source Method with Legendre Expansion

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In previous work, exponential convergence of Monte Carlo solutions using the reduced source method with Legendre expansion has been achieved only in one-dimensional rod and slab geometries. In this paper, the method is applied to three-dimensional (right parallelepiped) problems, with resulting evidence suggesting success. As implemented in this paper, the method approximates an angular integral of the flux with a discrete-ordinates numerical quadrature. It is possible that this approximation introduces an inconsistency that must be addressed.

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Favorite, J.A. September 1, 1999.

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Description

In previous work, exponential convergence of Monte Carlo solutions using the reduced source method with Legendre expansion has been achieved only in one-dimensional rod and slab geometries. In this paper, the method is applied to three-dimensional (right parallelepiped) problems, with resulting evidence suggesting success. As implemented in this paper, the method approximates an angular integral of the flux with a discrete-ordinates numerical quadrature. It is possible that this approximation introduces an inconsistency that must be addressed.

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Medium: P; Size: vp.

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INIS; OSTI as DE00761445

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  • American Nuclear Society, Madrid (ES), 09/1999

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  • Report No.: LA-UR-99-1184
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 761445
  • Archival Resource Key: ark:/67531/metadc720059

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  • September 1, 1999

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  • Sept. 29, 2015, 5:31 a.m.

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  • March 21, 2016, 3:56 p.m.

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Favorite, J.A. Exponential Monte Carlo Convergence on a Homogeneous Right Parallelepiped Using the Reduced Source Method with Legendre Expansion, article, September 1, 1999; New Mexico. (digital.library.unt.edu/ark:/67531/metadc720059/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.