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Verification of iterative matrix solutions for multipoint kinetics equations

Abstract : Multipoint kinetic equation systems have been solved numerically using matrix algebra software and 1st to 4th order implicit schemes based on single-step matrix propagators. These matrix schemes have been validated successfully on demanding point kinetics benchmarks with various prescribed reactivity insertions. Verification tests have also been performed on a simple 3-region fast reactor core model with asymmetric step or ramp reactivity insertions and cross-checked with the multipoint kinetics SACRE code developed at INL and based on existing and validated stiff ODE solver packages. Accurate results can be obtained at a limited time expense. The reason for intriguing results obtained in some transients has been elucidated and linked to the multipoint matrix coefficient interpolation method during the transient.
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J. Tommasi, G. Palmiotti. Verification of iterative matrix solutions for multipoint kinetics equations. Annals of Nuclear Energy, Elsevier Masson, 2018, 124, pp.357-371. ⟨cea-02339617⟩

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