Efficient solution of the simplified PN equations

Hamilton, Steven P.; Evans, Thomas M.

doi:10.1016/j.jcp.2014.12.014

Efficient solution of the simplified P N equations

Journal Article · 23 December 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2014.12.014· OSTI ID:1185441

Hamilton, Steven P. ^[1]; Evans, Thomas M. ^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

We show new solver strategies for the multigroup SPN equations for nuclear reactor analysis. By forming the complete matrix over space, moments, and energy a robust set of solution strategies may be applied. Moreover, power iteration, shifted power iteration, Rayleigh quotient iteration, Arnoldi's method, and a generalized Davidson method, each using algebraic and physics-based multigrid preconditioners, have been compared on C5G7 MOX test problem as well as an operational PWR model. These results show that the most ecient approach is the generalized Davidson method, that is 30-40 times faster than traditional power iteration and 6-10 times faster than Arnoldi's method.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1185441

Alternate ID(s):: OSTI ID: 1244284

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 284; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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A Multilevel in Space and Energy Solver for 3-D Multigroup Diffusion and Coarse-Mesh Finite Difference Eigenvalue Problems Yee, Ben C.; Kochunas, Brendan; Larsen, Edward W. Nuclear Science and Engineering, Vol. 193, Issue 7 https://doi.org/10.1080/00295639.2018.1562777	journal	February 2019

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97 MATHEMATICS AND COMPUTING
eigenvalue solvers
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Efficient solution of the simplified P N equations

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References (31)

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