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Journal Articles

Calculation of prompt neutron decay constant with Monte Carlo differential operator sampling

Nagaya, Yasunobu

Proceedings of Joint International Conference on Mathematics and Computation, Supercomputing in Nuclear Applications and the Monte Carlo Method (M&C + SNA + MC 2015) (CD-ROM), 9 Pages, 2015/04

A new method to calculate the prompt neutron decay constant ($$alpha$$) with the Monte Carlo method is proposed. It is based on the conventional $$alpha$$-$$k$$ search algorithm but no iteration is required for the $$alpha$$ value search. The $$k$$ eigenvalue is expressed in the truncated Taylor series with regard to $$alpha$$; the differential coefficients are calculated with the differential operator sampling, which is one of the Monte Carlo perturbation techniques. In order to examine the applicability of the proposed method, verification has been performed for simple geometries of a bare fast system (Godiva) and an unreflected thermal system (STACY). Comparisons has been done with the pulsed neutron source (PNS) simulation and the direct calculation from the definition of the $$alpha$$ value. The results with the proposed method show good agreement with the reference PNS simulation.

Journal Articles

Impact of perturbed fission source on the effective multiplication factor in Monte Carlo perturbation calculations

Nagaya, Yasunobu; Mori, Takamasa

Journal of Nuclear Science and Technology, 42(5), p.428 - 441, 2005/05

 Times Cited Count:61 Percentile:95.82(Nuclear Science & Technology)

A new method to estimate a change in the effective multiplication factor due to the perturbed fission source distribution has been proposed for Monte Carlo perturbation calculations with the correlated sampling and differential operator sampling techniques. The method has been implemented into the MVP code for verification. Simple benchmark problems have been set up for fast and thermal systems and the applicability of the method has been verified with the problems. In consequence, it has been confirmed that the method is very effective to estimate the change. It has been also shown that there are some cases where the perturbed source effect is significant and the change in reactivity cannot be estimated accurately without taking the effect into account. Even in such cases, the new method can estimate the perturbed source effect and the estimation of the change in reactivity has been remarkably improved.

Journal Articles

Evaluation of perturbation effect due to fission-source change in eigenvalue problems by Monte Carlo methods

Nagaya, Yasunobu; Mori, Takamasa

Proceedings of the ANS International Topical Meeting on Advances in Reactor Physics and Mathematics and Computation into the Next Millennium (PHYSOR2000) (CD-ROM), p.13 - 0, 2000/00

no abstracts in English

Oral presentation

Monte Carlo perturbation methods

Nagaya, Yasunobu

no journal, , 

no abstracts in English

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