ANS54: a computer subroutine for predicting fission gas release

Rausch, W.; Panisko, F.E.

doi:10.2172/5495268

Cited by 11 publications

(8 citation statements)

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“…The ANS-5.4 algorithm [34], which has been applied as reference solution in several numerical experiments (Section 3.1.1). A finite difference algorithm that we developed and used as reference solution in this work (Section 3.1.2).…”

Section: Overview Of Numerical Algorithmsmentioning

confidence: 99%

PolyPole-1: An accurate numerical algorithm for intra-granular fission gas release

Pizzocri

Rabiti

Luzzi

et al. 2016

Journal of Nuclear Materials

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The transport of fission gas from within the fuel grains to the grain boundaries (intra-granular fission gas release) is a fundamental controlling mechanism of fission gas release and gaseous swelling in nuclear fuel. Hence, accurate numerical solution of the corresponding mathematical problem needs to be included in fission gas behaviour models used in fuel performance codes. Under the assumption of equilibrium between trapping and resolution, the process can be described mathematically by a single diffusion equation for the gas atom concentration in a grain. In this paper, we propose a new numerical algorithm (PolyPole-1) to efficiently solve the fission gas diffusion equation in time-varying conditions. The PolyPole-1 algorithm is based on the analytic modal solution of the diffusion equation for constant conditions, combined with polynomial corrective terms that embody the information on the deviation from constant conditions. The new algorithm is verified by comparing the results to a finite difference solution over a large number of randomly generated operation histories. Furthermore, comparison to state-of-the-art algorithms used in fuel performance codes demonstrates that the accuracy of PolyPole-1 is superior to other algorithms, with similar computational effort. Finally, the concept of PolyPole-1 may be extended to the solution of the general problem of intra-granular fission gas diffusion during non-equilibrium trapping and resolution, which will be the subject of future work

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Section: Overview Of Numerical Algorithmsmentioning

confidence: 99%

PolyPole-1: An accurate numerical algorithm for intra-granular fission gas release

Pizzocri

Rabiti

Luzzi

et al. 2016

Journal of Nuclear Materials

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show abstract

“…The ANS 5.4 standard was implemented in the U.S. Nuclear Regulatory Commission (NRC) fuel performance code FRAPCON-2 by Pacific Northwest National Laboratory (PNNL). 5 The 1982 standard was not reaffirmed in 1992 because newer data were demonstrating that the assumptions used in the earlier standard were overly conservative; however, many of the original Working Group members were not available to revise the standard at this time. The proposed 2009 standard applies to the release of the volatile and gaseous fission products of primary significance, which are krypton, xenon, iodine, cesium, and tellurium.…”

Section: Acronyms and Abbreviationsmentioning

confidence: 99%

Background and Derivation of ANS-5.4 Standard Fission Product Release Model

Beyer¹,

Turnbull²

2010

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“…In the case of a time-varying gas generation, the fractional release is obtained by using a quasi-exact solution [5] which is used in the ANS-5.4 algorithm [3].…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Numerous models have been developed to understand the fission gas release (FGR) where the flux of gas atoms to the grain boundaries is described by a diffusion equation together with proper boundary conditions. The solutions of the equation are sought analytically as well as numerically [2][3][4][5][6]. Among the numerical treatments, the variational principle applied to the equation is regarded as one of the most suitable methods in the sense of an accuracy and efficiency.…”

Section: Introductionmentioning

confidence: 99%