Variational reactivity estimates: new analyses and new results

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A modified form of the variational estimate of the reactivity worth ofa perturbation was previously developed to extend the range of applicability of variational perturbation theory for perturbations leading to negative reactivity worths. Recent numerical results challenged the assumptions behind the modified form. In this paper, more results are obtained, leading to the conclusion that sometimes the modified form extends the range ofapplicability of variational perturbation theory for positive reactivity worths as well, and sometimes the standard variational form is more accurate for negative-reactivity perturbations. In addition, this paper proves that using the exact generalized adjoint function would lead to ... continued below

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Favorite, Jeffrey A January 1, 2009.

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A modified form of the variational estimate of the reactivity worth ofa perturbation was previously developed to extend the range of applicability of variational perturbation theory for perturbations leading to negative reactivity worths. Recent numerical results challenged the assumptions behind the modified form. In this paper, more results are obtained, leading to the conclusion that sometimes the modified form extends the range ofapplicability of variational perturbation theory for positive reactivity worths as well, and sometimes the standard variational form is more accurate for negative-reactivity perturbations. In addition, this paper proves that using the exact generalized adjoint function would lead to an inaccurate variational reactivity estimate when the error in the first-order estimate is large; the standard generalized adjoint function, an approximation to the exact one, leads to Lore accurate results. This conclusion is also demonstrated numerically. Transport calculations use the PARTISN multi group discrete ordinates code

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  • Int. Conf. on Adv. in Math., Comp. Methods, & Reactor Physics (M&C 2009) ; May 3, 2009 ; Saratoga Springs, NY

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  • Report No.: LA-UR-09-01125
  • Report No.: LA-UR-09-1125
  • Grant Number: AC52-06NA25396
  • Office of Scientific & Technical Information Report Number: 956460
  • Archival Resource Key: ark:/67531/metadc934023

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  • January 1, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 5:22 p.m.

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Favorite, Jeffrey A. Variational reactivity estimates: new analyses and new results, article, January 1, 2009; [New Mexico]. (digital.library.unt.edu/ark:/67531/metadc934023/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.