Heterogeneous treatment in the variational nodal method

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The variational nodal transport method is reduced to its diffusion form and generalized for the treatment of heterogeneous nodes while maintaining nodal balances. Adapting variational methods to heterogeneous nodes requires the ability to integrate over a node with discontinuous cross sections. In this work, integrals are evaluated using composite gaussian quadrature rules, which permit accurate integration while minimizing computing time. Allowing structure within a nodal solution scheme avoids some of the necessity of cross section homogenization, and more accurately defines the intra-nodal flux shape. Ideally, any desired heterogeneity can be constructed within the node; but in reality, the finite set ... continued below

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10 p.

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Fanning, T.H. & Palmiotti, G. June 1, 1995.

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  • Fanning, T.H. Wisconsin Univ., Madison, WI (United States). Dept. of Nuclear Engineering and Engineering Physics
  • Palmiotti, G. CEA Centre d`Etudes Nucleaires de Cadarache, 13 - Saint-Paul-lez-Durance (France)

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The variational nodal transport method is reduced to its diffusion form and generalized for the treatment of heterogeneous nodes while maintaining nodal balances. Adapting variational methods to heterogeneous nodes requires the ability to integrate over a node with discontinuous cross sections. In this work, integrals are evaluated using composite gaussian quadrature rules, which permit accurate integration while minimizing computing time. Allowing structure within a nodal solution scheme avoids some of the necessity of cross section homogenization, and more accurately defines the intra-nodal flux shape. Ideally, any desired heterogeneity can be constructed within the node; but in reality, the finite set of basis functions limits the practical resolution to which fine detail can be defined within the node. Preliminary comparison tests show that the heterogeneous variational nodal method provides satisfactory results even if some improvements are needed for very difficult, configurations.

Physical Description

10 p.

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INIS; OSTI as DE95012282

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  • International conference on mathematics and computations, reactor physics, and environmental analyses, Portland, OR (United States), 30 Apr - 4 May 1995

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  • Other: DE95012282
  • Report No.: ANL/RA/CP--85371
  • Report No.: CONF-950420--26
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 73035
  • Archival Resource Key: ark:/67531/metadc704493

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  • June 1, 1995

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  • Sept. 12, 2015, 6:31 a.m.

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  • Dec. 15, 2015, 12:29 p.m.

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Fanning, T.H. & Palmiotti, G. Heterogeneous treatment in the variational nodal method, article, June 1, 1995; Illinois. (digital.library.unt.edu/ark:/67531/metadc704493/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.