[P39] A “consistent” quasidiffusion method for iteratively solving particle transport problems

Conference paper

Edward W. Larsen, Tomas M. Paganin, 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
Larsen, E. W., Paganin, T. M., & Vasques, R. (2023). [P39] A “consistent” quasidiffusion method for iteratively solving particle transport problems. In Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada.

Chicago/Turabian Click to copy
Larsen, Edward W., Tomas M. Paganin, and Richard Vasques. “[P39] A ‘Consistent’ Quasidiffusion Method for Iteratively Solving Particle Transport Problems.” In Proceedings of International Conference on Mathematics &Amp; Computational Methods Applied to Nuclear Science &Amp; Engineering, Niagara Falls, Canada, 2023.

MLA Click to copy
Larsen, Edward W., et al. “[P39] A ‘Consistent’ Quasidiffusion Method for Iteratively Solving Particle Transport Problems.” Proceedings of International Conference on Mathematics &Amp; Computational Methods Applied to Nuclear Science &Amp; Engineering, Niagara Falls, Canada, 2023.

BibTeX Click to copy

@inproceedings{edward2023a,
  title = {[P39] A “consistent” quasidiffusion method for iteratively solving particle transport problems},
  year = {2023},
  month = aug,
  journal = {Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada},
  author = {Larsen, Edward W. and Paganin, Tomas M. and Vasques, Richard},
  month_numeric = {8}
}

ABSTRACT: The “Quasidiffusion” (QD) method is a well-known iterative technique for efficiently solving particle transport problems. Each QD iteration consists of a high-order SN sweep, followed by a low-order “Quasidiffusion” calculation. QD has two defining characteristics: (i) its iterations converge rapidly for any spatial grid, and (ii) the converged scalar fluxes from the high-order SN sweep and the low-order Quasidiffusion calculation differ – by spatial truncation errors – from each other, and from the scalar flux solution of the SN equations. In this paper we show that by including a transport consistency factor in the low-order QD equation, the converged high-order and low-order QD scalar fluxes become equal to each other, and to the converged SN scalar flux. We also present CQD numerical results to demonstrate the effect of the transport consistency factor on stability.