Nuclear Engineering and Technology

  • 제49권6호
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  • Pages.1181-1188
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  • 2017
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  • 1738-5733(pISSN)
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  • 2234-358X(eISSN)
한국원자력학회 (Korean Nuclear Society)
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A new approach to the stabilization and convergence acceleration in coupled Monte Carlo-CFD calculations: The Newton method via Monte Carlo perturbation theory

  • 투고 : 2017.05.30
  • 심사 : 2017.08.07
  • 발행 : 2017.09.25
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초록

This paper proposes the adoption of Monte Carlo perturbation theory to approximate the Jacobian matrix of coupled neutronics/thermal-hydraulics problems. The projected Jacobian is obtained from the eigenvalue decomposition of the fission matrix, and it is adopted to solve the coupled problem via the Newton method. This avoids numerical differentiations commonly adopted in Jacobian-free Newton-Krylov methods that tend to become expensive and inaccurate in the presence of Monte Carlo statistical errors in the residual. The proposed approach is presented and preliminarily demonstrated for a simple two-dimensional pressurized water reactor case study.

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참고문헌

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피인용 문헌

  1. Versatility and stabilization improvements of full core neutronics/thermal-hydraulics coupling between RMC and CTF vol.332, pp.None, 2017, https://doi.org/10.1016/j.nucengdes.2018.03.028
  2. A Code-Agnostic Driver Application for Coupled Neutronics and Thermal-Hydraulic Simulations vol.195, pp.4, 2017, https://doi.org/10.1080/00295639.2020.1830620
  3. Analysis of the performances of the CFD schemes used for coupling computation vol.53, pp.7, 2017, https://doi.org/10.1016/j.net.2021.01.006
  4. A perturbation-based acceleration for Monte Carlo – Thermal Hydraulics Picard iterations. Part I: Theory and application to extruded BWR unit-cell. vol.167, pp.None, 2017, https://doi.org/10.1016/j.anucene.2021.108756