Treatment of Nuclear Data for Transport Problems Containing Detailed Temperature Distributions

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This work considers the problem of accurately representing the temperature dependence of neutron cross-section data in neutron transport problems when there are many nuclides and when the temperature distributions vary significantly with both space and time. An approach involving interpolation between nuclear data libraries at various reference temperatures is investigated. Reference nuclear data libraries are obtained by Doppler broadening cross sections to the desired temperatures using the NJOY code system. Several interpolation schemes over various temperature intervals are studied. Interpolated values at intermediate temperatures are compared to NJOY Doppler broadened results for the same temperature. Differences relative to the Doppler ... continued below

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Trumbull, T. January 9, 2006.

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This work considers the problem of accurately representing the temperature dependence of neutron cross-section data in neutron transport problems when there are many nuclides and when the temperature distributions vary significantly with both space and time. An approach involving interpolation between nuclear data libraries at various reference temperatures is investigated. Reference nuclear data libraries are obtained by Doppler broadening cross sections to the desired temperatures using the NJOY code system. Several interpolation schemes over various temperature intervals are studied. Interpolated values at intermediate temperatures are compared to NJOY Doppler broadened results for the same temperature. Differences relative to the Doppler broadened results are calculated in order to judge the suitability of the interpolation scheme and temperature interval. The total, elastic scattering, capture, and fission (if applicable) reactions for {sup 238}U, {sup 235}U, natural Zr, {sup 16}O, {sup 10}B and {sup 1}H are considered in this study, over a temperature range of 294 K to 811 K ({approx}70 F to {approx}1000 F). The nuclides and temperature range are selected to best represent typical light water reactor calculations. This work covers only the free-atom cross section and does not explore the many nuances of temperature treatment of nuclear data in the thermal energy range for nuclides where molecular binding effects are significant, e.g., water, beryllium, graphite. Additionally, dilute-average cross sections are used in the unresolved resonance range (URR) for this study. Temperature treatment of probabilistic methods used to construct cross sections in the URR are not considered for this work. The study shows that cross sections can be interpolated within an accuracy of 0.1% over a temperature interval of 111 K (200 F) for {sup 1}H, {sup 10}B, and {sup 16}O. Smaller intervals are required for nuclides with more complex resonance behavior. Some values of the interpolated cross sections for natural Zr, {sup 238}U and {sup 235}U, remain greater than the target 0.1% relative difference even with a 28 K (50 F) interval, suggesting a smaller interval is necessary for these nuclides.

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  • Report No.: LM-05K180
  • Grant Number: DE-AC12-00SN39357
  • Office of Scientific & Technical Information Report Number: 875458
  • Archival Resource Key: ark:/67531/metadc878990

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • January 9, 2006

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  • Sept. 21, 2016, 2:29 a.m.

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  • Feb. 16, 2017, 6:52 p.m.

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Trumbull, T. Treatment of Nuclear Data for Transport Problems Containing Detailed Temperature Distributions, article, January 9, 2006; Niskayuna, NY. (digital.library.unt.edu/ark:/67531/metadc878990/: accessed April 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.