[P35] An initial study of the convergence rate of Griffin’s pebble bed reactors algorithm


Conference paper


Tomas M. Paganin, Sebastian Schunert, Leonardo R.C. Moraes, Richard Vasques
Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada, 2023 Aug

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APA   Click to copy
Paganin, T. M., Schunert, S., Moraes, L. R. C., & Vasques, R. (2023). [P35] An initial study of the convergence rate of Griffin’s pebble bed reactors algorithm. In Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada.


Chicago/Turabian   Click to copy
Paganin, Tomas M., Sebastian Schunert, Leonardo R.C. Moraes, and Richard Vasques. “[P35] An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm.” In Proceedings of International Conference on Mathematics &Amp; Computational Methods Applied to Nuclear Science &Amp; Engineering, Niagara Falls, Canada, 2023.


MLA   Click to copy
Paganin, Tomas M., et al. “[P35] An Initial Study of the Convergence Rate of Griffin’s Pebble Bed Reactors Algorithm.” Proceedings of International Conference on Mathematics &Amp; Computational Methods Applied to Nuclear Science &Amp; Engineering, Niagara Falls, Canada, 2023.


BibTeX   Click to copy

@inproceedings{tomas2023a,
  title = {[P35] An initial study of the convergence rate of Griffin’s pebble bed reactors algorithm},
  year = {2023},
  month = aug,
  journal = {Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada},
  author = {Paganin, Tomas M. and Schunert, Sebastian and Moraes, Leonardo R.C. and Vasques, Richard},
  month_numeric = {8}
}

ABSTRACT:  This paper presents an initial study of the convergence properties of an iterative algorithm for computing the burnup distribution in a pebble bed reactor (PBR) in its equilibrium core condition. The algorithm is implemented in the Griffin code. Griffin is a reactor multiphysics analysis application jointly developed by Idaho National Laboratory (INL) and Argonne National Laboratory (ANL). Griffin’s PBR algorithm is discussed and simulation data are presented. An alternative matrix formulation of the algorithm is presented that facilitates analysis of the iterative algorithm. The dependence of the spectral radius of the iterative algorithm on operational and discretization parameters is investigated.

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