The method of subgroups for considering the resonance structure of cross sections in neutron calculations

Nikolaev, M.N.; Игнатов, А. А.; Isaev, N. K.; Khokhlov, V.F.

doi:10.1007/bf01408755

Cited by 26 publications

(12 citation statements)

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“…Recently, the self-shielding factor method has been improved to allow more detailed energy modeling by utilizing more energy groups. [39] Recent international improvements in this approach include the ECCO code [40], which has a multi-dimensional lattice analysis capability in conjunction with sub-group methods [41][42][43]. This spatial modeling capability explicitly treats the heterogeneity effect, and the sub-group method allows some re-capture of the resonance energy details.…”

Section: Cross Section Generationmentioning

confidence: 99%

Fast Reactor Physics and Computational Methods

Yang¹

2012

Nuclear Engineering and Technology

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Section: Cross Section Generationmentioning

confidence: 99%

Fast Reactor Physics and Computational Methods

Yang¹

2012

Nuclear Engineering and Technology

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“…Thus, a group of neutrons consists of those neutrons whose energy lies in the interval ~E about E; a subgroup of neutrons consists of those neutrons which experience a total cross section in the interval ~Et about Et. The subgroup method was originally formulated by Nikolaev 4 and has bee.n applied in a collision probability, integral transport framewo~k by Rot~. 5 This method has similarities with the histogram approach of Mac-Dougall and Rowlands 6 and the probability table method of Levitt.…”

Section: The Subgroup Methodsmentioning

confidence: 99%

A Correlation Technique for Resonance Calculations

Gregory

1979

Nuclear Science and Engineering

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A correlation technique has been developed to make the accuracy of complex and long running resonance treatments available in fast, routine calculations. The technique is based on the subgroup method and is used to generate group-averaged resonance reaction rates. By fitting the correlation to several detailed auxiliary resonance calculations, a set of weights (the Lebesgue measure) is obtained. The weights may then be applied to a wider range of new cases. Use of the correlation techn.i4ue results in one-tenth thP. computational burden of the detailed resonance treatment; yet, the results duplicate the detailed calculations to within 1/100% in keff• * The information contained in this article was ueveloped during the course of work under Contract No. AT(07-2)-l with the U.S.

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“…So, the direct formulation of the spatially dependent effective crosssections for each ring region within the cylindrical fuel lump is a difficult task. For generation of the detailed effective cross-section data within the pellet, the more accurate resonance self-shielding methods such as subgroup method [5] or ultra-fine-group calculation method [4] are applied in general. These methods consider the detailed information of the spatial and energetic resonance self-shielding effects within each energy group, so it can directly treat the neutron balance within the pellet.…”

Section: New Derivation Of Multi-term Rational Equation For General Lmentioning

confidence: 99%

“…In general, the resonance calculation method is classified into three categories [3], i.e. ultra-fine-group method [4], subgroup method [5] and Dancoff method [6] with equivalence theory [7]. The ultra-fine-group method gives an accurate effective cross-section, but has a limitation for the practical design applications of large and complicated geometries in the fuel assembly level because of the long computation time.…”

Section: Introductionmentioning

confidence: 99%

Advanced resonance self-shielding method for gray resonance treatment in lattice physics code GALAXY

Koike

Yamaji

Kirimura

et al. 2012

Journal of Nuclear Science and Technology

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A new resonance self-shielding method based on the equivalence theory is developed for general application to the lattice physics calculations. The present scope includes commercial light water reactor (LWR) design applications which require both calculation accuracy and calculation speed. In order to develop the new method, all the calculation processes from cross-section library preparation to effective cross-section generation are reviewed and reframed by adopting the current enhanced methodologies for lattice calculations. The new method is composed of the following four key methods: (1) cross-section library generation method with a polynomial hyperbolic tangent formulation, (2) resonance selfshielding method based on the multi-term rational approximation for general lattice geometry and gray resonance absorbers, (3) spatially dependent gray resonance self-shielding method for generation of intra-pellet power profile and (4) integrated reaction rate preservation method between the multi-group and the ultra-fine-group calculations. From the various verifications and validations, applicability of the present resonance treatment is totally confirmed. As a result, the new resonance self-shielding method is established, not only by extension of a past concentrated effort in the reactor physics research field, but also by unification of newly developed unique and challenging techniques for practical application to the lattice physics calculations.

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The method of subgroups for considering the resonance structure of cross sections in neutron calculations

Cited by 26 publications

References 0 publications

Fast Reactor Physics and Computational Methods

Fast Reactor Physics and Computational Methods

A Correlation Technique for Resonance Calculations

Advanced resonance self-shielding method for gray resonance treatment in lattice physics code GALAXY

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