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On a Parametric Representation of the Angular Neutron Flux in the Energy Range from 1 eV to 10 MeV

In: Computational and Analytic Methods in Science and Engineering

Author

Listed:
  • Luiz F. F. Chaves Barcellos

    (Federal University of Rio Grande do Sul)

  • Bardo E. J. Bodmann

    (Federal University of Rio Grande do Sul)

  • Marco T. Vilhena

    (Federal University of Rio Grande do Sul)

Abstract

In this work a parametric representation of the angular neutron flux in the energy range from 1 eV to 10 MeV is determined from a Monte Carlo simulation with initially 106 neutrons. The Monte Carlo results are sorted according to the six variables of the stationary Boltzmann equation (position, direction and energy) fitted by a parametrisation representation for the solution of the stationary Boltzmann equation. The best fit is then validated by the Boltzmann equation and the quality of the approximate solution is evaluated. We present the energy projection of the angular flux and a qualitative error analysis of the found solution.

Suggested Citation

  • Luiz F. F. Chaves Barcellos & Bardo E. J. Bodmann & Marco T. Vilhena, 2020. "On a Parametric Representation of the Angular Neutron Flux in the Energy Range from 1 eV to 10 MeV," Springer Books, in: Christian Constanda (ed.), Computational and Analytic Methods in Science and Engineering, chapter 0, pages 45-59, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-48186-5_3
    DOI: 10.1007/978-3-030-48186-5_3
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