Analytic angular integration technique for generating multigroup transfer matrices

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Many detailed multigroup transport calculations require group-to-group Legendre transfer coefficients to represent scattering processes in various nuclides. These (fine-group) constants must first be generated from the basic data. An alternative technique for generating such data from the total scattering cross section of a particular nuclide on a pointwise energy basis, sigma(E'), and some information regarding the angular scattering distribution for each initial energy point is outlined. The evaluation of generalized multigroup transfer matrices for transport calculations requires a double integration extending over the primary and secondary energy groups, where, for a given initial energy, the integration over the secondary energy … continued below

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11 pages

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Bucholz, J. A. January 1, 1978.

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Many detailed multigroup transport calculations require group-to-group Legendre transfer coefficients to represent scattering processes in various nuclides. These (fine-group) constants must first be generated from the basic data. An alternative technique for generating such data from the total scattering cross section of a particular nuclide on a pointwise energy basis, sigma(E'), and some information regarding the angular scattering distribution for each initial energy point is outlined. The evaluation of generalized multigroup transfer matrices for transport calculations requires a double integration extending over the primary and secondary energy groups, where, for a given initial energy, the integration over the secondary energy group may be replaced by an integral over the possible scattering angles. In the present work, analytic expressions for these angular integrals are derived which are free of truncation error. Differences between the present method (as implemented in ROLAIDS) and other methods (as implemented in MINX and NEWXLACS) are explored. Of particular interest is the fact that, for hydrogen, the angular integration is shown to simplify to the point that, for many weight functions, the integration over the primary energy group might also be performed analytically. This completely analytic treatment for hydrogen has recently been implemented in NEWXLACS. 1 figure.

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11 pages

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Dep. NTIS, PC A02/MF A01.

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  • Workshop on multigroup nuclear cross-section preparation, Oak Ridge, TN, USA, 14 Mar 1978

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  • Report No.: CONF-780329-1
  • Grant Number: W-7405-ENG-26
  • Office of Scientific & Technical Information Report Number: 7180133
  • Archival Resource Key: ark:/67531/metadc1445362

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  • January 1, 1978

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  • Feb. 10, 2019, 8:45 p.m.

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  • June 19, 2019, 6:10 p.m.

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Bucholz, J. A. Analytic angular integration technique for generating multigroup transfer matrices, article, January 1, 1978; Tennessee. (https://digital.library.unt.edu/ark:/67531/metadc1445362/: accessed May 13, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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