Space-angle approximations in the variational nodal method.

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The variational nodal method is formulated such that the angular and spatial approximations maybe examined separately. Spherical harmonic, simplified spherical harmonic, and discrete ordinate approximations are coupled to the primal hybrid finite element treatment of the spatial variables. Within this framework, two classes of spatial trial functions are presented: (1) orthogonal polynomials for the treatment of homogeneous nodes and (2) bilinear finite subelement trial functions for the treatment of fuel assembly sized nodes in which fuel-pin cell cross sections are represented explicitly. Polynomial and subelement trial functions are applied to benchmark water-reactor problems containing MOX fuel using spherical harmonic and ... continued below

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14 p.

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Lewis, E. E.; Palmiotti, G. & Taiwo, T. March 12, 1999.

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The variational nodal method is formulated such that the angular and spatial approximations maybe examined separately. Spherical harmonic, simplified spherical harmonic, and discrete ordinate approximations are coupled to the primal hybrid finite element treatment of the spatial variables. Within this framework, two classes of spatial trial functions are presented: (1) orthogonal polynomials for the treatment of homogeneous nodes and (2) bilinear finite subelement trial functions for the treatment of fuel assembly sized nodes in which fuel-pin cell cross sections are represented explicitly. Polynomial and subelement trial functions are applied to benchmark water-reactor problems containing MOX fuel using spherical harmonic and simplified spherical harmonic approximations. The resulting accuracy and computing costs are compared.

Physical Description

14 p.

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INIS; OSTI as DE00012384

Medium: P; Size: 14 pages

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  • M and C '99 Conference, Madrid (ES), 09/27/1999--09/30/1999

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  • Report No.: ANL/RA/CP-98611
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 12384
  • Archival Resource Key: ark:/67531/metadc622605

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  • March 12, 1999

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  • June 16, 2015, 7:43 a.m.

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  • April 7, 2017, 2:42 p.m.

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Lewis, E. E.; Palmiotti, G. & Taiwo, T. Space-angle approximations in the variational nodal method., article, March 12, 1999; Illinois. (digital.library.unt.edu/ark:/67531/metadc622605/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.