### Abstract

the neutron currents on this grid. Once the probabilities have been estimated, the solutions on both grids are computed deterministically and simultaneously. The main advantage of this implementation lies with the fact that the modelling of possible complex geometries is left to the Monte Carlo solver. In addition, since only within cells probabilities are required, the estimation of such probabilities represents a task having an acceptable computing cost. Several

two-dimensional test cases were developed for benchmarking the framework in two energy groups. For single assembly calculations in an infinite lattice, the deviation of the dominant eigenvalue is smaller than typically 50 pcm. Concerning the spatial distribution of the flux, some acceptable agreement was also obtained, with relative deviations generally smaller than 6%. In some other cases considering a checkerboard pattern of fuel assemblies, though, higher

discrepancies were noticed. It is believed that such discrepancies could be alleviated by implementing a finer resolution in space, angle and energy of the framework. This feasibility study demonstrates the viability of the proposed computational route.

Original language | English |
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Title of host publication | International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 |

Publisher | American Nuclear Society ANS |

Pages | 2166-2177 |

Number of pages | 12 |

ISBN (Print) | 978-0-89448-769-9 |

Publication status | Published - 2019 |

MoE publication type | A4 Article in a conference publication |

Event | International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engineering - Portland, United States Duration: 25 Aug 2019 → 29 Aug 2019 |

### Conference

Conference | International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engineering |
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Country | United States |

City | Portland |

Period | 25/08/19 → 29/08/19 |

### Fingerprint

### Keywords

- nuclear reactor calculations
- neutron transport
- hybrid methods
- deterministic methods

### Cite this

*International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019*(pp. 2166-2177). American Nuclear Society ANS.

}

*International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019.*American Nuclear Society ANS, pp. 2166-2177, International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engineering, Portland, United States, 25/08/19.

**Development and test of a hybrid probabilistic-deterministic framework based on the interface current method.** / Yi, H.; Demazière, C; Vinai, P.; Leppänen, Jaakko.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Development and test of a hybrid probabilistic-deterministic framework based on the interface current method

AU - Yi, H.

AU - Demazière, C

AU - Vinai, P.

AU - Leppänen, Jaakko

N1 - CD-ROM

PY - 2019

Y1 - 2019

N2 - This paper investigates the feasibility of performing reactor physics calculations using a hybrid neutron transport methodology. In the presented implementation, the interface current method is used as the deterministic framework, for which the necessary probabilities appearing in the method are estimated in advance using the probabilistic Monte Carlo code Serpent2. Two grids are used: one fine grid for estimating the scalar neutron flux and a coarse grid for computingthe neutron currents on this grid. Once the probabilities have been estimated, the solutions on both grids are computed deterministically and simultaneously. The main advantage of this implementation lies with the fact that the modelling of possible complex geometries is left to the Monte Carlo solver. In addition, since only within cells probabilities are required, the estimation of such probabilities represents a task having an acceptable computing cost. Severaltwo-dimensional test cases were developed for benchmarking the framework in two energy groups. For single assembly calculations in an infinite lattice, the deviation of the dominant eigenvalue is smaller than typically 50 pcm. Concerning the spatial distribution of the flux, some acceptable agreement was also obtained, with relative deviations generally smaller than 6%. In some other cases considering a checkerboard pattern of fuel assemblies, though, higherdiscrepancies were noticed. It is believed that such discrepancies could be alleviated by implementing a finer resolution in space, angle and energy of the framework. This feasibility study demonstrates the viability of the proposed computational route.

AB - This paper investigates the feasibility of performing reactor physics calculations using a hybrid neutron transport methodology. In the presented implementation, the interface current method is used as the deterministic framework, for which the necessary probabilities appearing in the method are estimated in advance using the probabilistic Monte Carlo code Serpent2. Two grids are used: one fine grid for estimating the scalar neutron flux and a coarse grid for computingthe neutron currents on this grid. Once the probabilities have been estimated, the solutions on both grids are computed deterministically and simultaneously. The main advantage of this implementation lies with the fact that the modelling of possible complex geometries is left to the Monte Carlo solver. In addition, since only within cells probabilities are required, the estimation of such probabilities represents a task having an acceptable computing cost. Severaltwo-dimensional test cases were developed for benchmarking the framework in two energy groups. For single assembly calculations in an infinite lattice, the deviation of the dominant eigenvalue is smaller than typically 50 pcm. Concerning the spatial distribution of the flux, some acceptable agreement was also obtained, with relative deviations generally smaller than 6%. In some other cases considering a checkerboard pattern of fuel assemblies, though, higherdiscrepancies were noticed. It is believed that such discrepancies could be alleviated by implementing a finer resolution in space, angle and energy of the framework. This feasibility study demonstrates the viability of the proposed computational route.

KW - nuclear reactor calculations

KW - neutron transport

KW - hybrid methods

KW - deterministic methods

UR - http://www.ans.org/store/item-700432/

UR - http://www.scopus.com/inward/record.url?scp=85075383697&partnerID=8YFLogxK

M3 - Conference article in proceedings

SN - 978-0-89448-769-9

SP - 2166

EP - 2177

BT - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019

PB - American Nuclear Society ANS

ER -