Development of a Third-Generation <i>Superhomogénéisation</i> Method for the Homogenization of a Pressurized Water Reactor Assembly

Hébert, Alain; Mathonnière, Gilles

doi:10.13182/nse115-129

Cited by 55 publications

(20 citation statements)

References 2 publications

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“…The SPH method is an equivalence procedure initially proposed by Kavenoky (1978) and extended by Hebert and Benoist (1991), Hebert (1993), Hebert and Mathonniere (1993). The aim of the method is to preserve the reaction rates of a reference heterogeneous transport solution in homogeneous pin-wise transport or diffusion calculations.…”

Section: Generation Of Sph-corrected Few-group Xs For Crs and Empty Cmentioning

confidence: 99%

On the use of the SPH method in nodal diffusion analyses of SFR cores

Nikitin

Fridman

Mikityuk

2015

Annals of Nuclear Energy

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Section: Generation Of Sph-corrected Few-group Xs For Crs and Empty Cmentioning

confidence: 99%

On the use of the SPH method in nodal diffusion analyses of SFR cores

Nikitin

Fridman

Mikityuk

2015

Annals of Nuclear Energy

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“…Thus, the improved SPH method can be regarded as a family of the SPH factor method with the Selengut normalization condition [11], and is related to the third generation SPH factor method developed by He´bert and Mathonnie´re [12]. Calculations with the improved SPH method are carried out with the simultaneously SPH-corrected S 16 method.…”

Section: Resultsmentioning

confidence: 99%

A note on application of superhomogénéisation factors to integro-differential neutron transport equations

Chiba

Tsuji

Sugiyama

et al. 2012

Journal of Nuclear Science and Technology

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The present article focuses on the application of the SPH factor method to the integro-differential neutron transport equation. While leakage-related parameters are arbitrarily corrected by the SPH factors, the correction procedure for these parameters affects the calculation accuracy. We treat two correction procedures named the simultaneous correction and the direct correction, and compare them with each other in one-dimensional colorset assembly problems. Through numerical testing, we find that the simultaneous SPH correction gives better accuracy than the direct SPH correction, and the higherorder SPH-corrected calculations show better accuracy than the low-order ones. Furthermore, to consider the flux discontinuity between different types of assemblies, the improved SPH method proposed by Yamamoto and the SPH method with the Selengut normalization condition are also tested. Numerical results reveal that the both methods significantly improve the calculation accuracy and that the latter method is more robust than the former method.

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“…Currently most of homogenized parameters for core analysis of research reactors are obtained by traditional Flux Volume Weighting (FVW) homogenization method. Besides the FVW method, several advanced assembly homogenization methods have been developed during the last decades, such as superhomogénéisation (SPH) method (Hébert and Kavenoky, 1981;Hébert and Mathonniere, 1993) and Assembly Discontinuity Factors (ADF) (Smith, 1986;Sanchez, 2009), which are based on well-established Equivalence Theory (ET) (Koebke, 1980) and Generalized Equivalence Theory (GET) (Smith, 1980(Smith, , 1986, respectively. The ADF method requires a modification to the standard diffusion code and is not discussed further http://dx.doi.org/10.1016/j.anucene.2015.07.018 0306-4549/Ó 2015 Elsevier Ltd. All rights reserved.…”

Section: Introductionmentioning

confidence: 99%