[J10] A nonstiff solution for the stochastic neutron point kinetics equations

Journal article

Milena Wollmann da Silva, Richard Vasques, Bardo E. J. Bodmann, Marco T. Vilhena
Annals of Nuclear Energy, vol. 97(-), 2016, pp. 47-52

DOI: 10.1016/j.anucene.2016.06.026

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APA Click to copy
da Silva, M. W., Vasques, R., Bodmann, B. E. J., & Vilhena, M. T. (2016). [J10] A nonstiff solution for the stochastic neutron point kinetics equations. Annals of Nuclear Energy, 97(-), 47–52. https://doi.org/10.1016/j.anucene.2016.06.026

Chicago/Turabian Click to copy
Silva, Milena Wollmann da, Richard Vasques, Bardo E. J. Bodmann, and Marco T. Vilhena. “[J10] A Nonstiff Solution for the Stochastic Neutron Point Kinetics Equations.” Annals of Nuclear Energy 97, no. - (2016): 47–52.

MLA Click to copy
da Silva, Milena Wollmann, et al. “[J10] A Nonstiff Solution for the Stochastic Neutron Point Kinetics Equations.” Annals of Nuclear Energy, vol. 97, no. -, 2016, pp. 47–52, doi:10.1016/j.anucene.2016.06.026.

BibTeX Click to copy

@article{milena2016a,
  title = {[J10] A nonstiff solution for the stochastic neutron point kinetics equations},
  year = {2016},
  issue = {-},
  journal = {Annals of Nuclear Energy},
  pages = {47-52},
  volume = {97},
  doi = {10.1016/j.anucene.2016.06.026},
  author = {da Silva, Milena Wollmann and Vasques, Richard and Bodmann, Bardo E. J. and Vilhena, Marco T.}
}

ABSTRACT: We propose an approach to solve the stochastic neutron point kinetics equations using an adaptation of the diagonalization-decomposition method (DDM). This new approach (Double-DDM) yields a nonstiff solution for the stochastic formulation, allowing the calculation of the neutron and precursor densities at any time of interest without the need of using progressive time steps. We use Double-DDM to compute results for stochastic problems with constant, linear, and sinusoidal reactivities. We show that these results strongly agree with those obtained by other approaches established in the literature. We also compute and analyze the first four statistical moments of the solutions.