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PolyPole is a numerical algorithm for the calculation of intra-granular fission gas release. In particular, the algorithm solves the gas diffusion problem in a fuel grain in time-varying conditions. The program has been extensively tested. PolyPole combines a high accuracy with a high computational efficiency and is ideally suited for application in fuel performance codes. The PolyPole algorithm is based on the analytic modal solution of the diffusion problem for constant conditions, with the addition of polynomial corrective terms that embody the information on the deviation from constant conditions. This semi-analytic concept is intended to allow for significantly lower computational time than spatial discretization methods, such as finite difference schemes. The PolyPole algorithm has been verified by comparing the results to a finite difference reference solution for a large number of randomly generated operation histories. Results demonstrated that (i) the accuracy of the PolyPole solution is high and superior to other algorithms currently available, (ii) the computational time associated with PolyPole is similar to other algorithms, and (iii) differently from other algorithms, the accuracy of the PolyPole solution is highly consistent over the whole range of intra-granular fission gas release.

Details of the PolyPole development and verification can be found in:

D. Pizzocri, C. Rabiti, L. Luzzi, T. Barani, P. Van Uffelen, G. Pastore. PolyPole-1: An accurate numerical algorithm for intra-granular fission gas release, Journal of Nuclear Materials, 478, 333-342, 2016.

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