Journal article
Edward W. Larsen, Tomas M. Paganin, Richard Vasques
Nuclear Science and Engineering, 2024
Nuclear Science and Engineering, 2024
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APA
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Larsen, E. W., Paganin, T. M., & Vasques, R. (2024). [J25] A 'consistent' quasidiffusion method for solving particle transport problems. Nuclear Science and Engineering. https://doi.org/10.1080/00295639.2024.2392942
Chicago/Turabian
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Larsen, Edward W., Tomas M. Paganin, and Richard Vasques. “[J25] A 'Consistent' Quasidiffusion Method for Solving Particle Transport Problems.” Nuclear Science and Engineering (2024).
MLA
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Larsen, Edward W., et al. “[J25] A 'Consistent' Quasidiffusion Method for Solving Particle Transport Problems.” Nuclear Science and Engineering, 2024, doi:10.1080/00295639.2024.2392942.
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@article{edward2024a,
title = {[J25] A 'consistent' quasidiffusion method for solving particle transport problems},
year = {2024},
journal = {Nuclear Science and Engineering},
doi = {10.1080/00295639.2024.2392942},
author = {Larsen, Edward W. and Paganin, Tomas M. and Vasques, Richard}
}
ABSTRACT: The quasidiffusion (QD) method is an established and efficient iterative technique for solving particle transport problems. Each QD iteration consists of a high-order SN sweep, followed by a low-order QD calculation. QD has two defining characteristics: (1) its iterations converge rapidly for any spatial grid and (2) the converged scalar fluxes from the high-order SN sweep and the low-order QD 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 equation, the converged high-order and low-order scalar fluxes become equal to each other and to the converged SN scalar flux. However, the inclusion of the transport consistency factor has a negative impact on the convergence rate. We present numerical results that demonstrate the effect of the transport consistency factor on stability.