A DISCRETE ORDINATES SOLVER WITH DIFFUSION SYNTHETIC ACCELERATION FOR SIMULATIONS OF 2-D AND 2-ENERGY GROUP NEUTRON NOISE PROBLEMS
Paper in proceedings, 2019

A neutron transport solver for 2-D, 2-energy-group neutron noise problems is presented. The simulator allows to determine: 1) the static neutron flux associated with a critical system; 2) the neutron noise in the frequency domain, according to a prescribed perturbation of the critical system. The perturbation is modeled as stationary fluctuations of the macroscopic nuclear cross-sections. The solution algorithm is based on a diamond finite difference scheme, discrete ordinates method, and it is accelerated using a diffusion synthetic acceleration technique. The solver is tested on 2-D homogeneous and heterogeneous systems with a localized neutron noise source. Its convergence is analyzed and compared to the case without acceleration.

diffusion synthetic acceleration

discrete ordinates

Reactor neutron noise

convergence analysis

Author

Huaiqian Yi

Chalmers, Physics, Subatomic and Plasma Physics

Paolo Vinai

Chalmers, Physics, Subatomic and Plasma Physics

Christophe Demaziere

Chalmers, Physics, Subatomic and Plasma Physics

Proceedings of M&C 2019

2023-2032

The International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engienering - M&C 2019
Portland, USA,

Core monitoring techniques and experimental validation and demonstration (CORTEX)

European Commission (Horizon 2020), 2017-09-01 -- 2021-08-31.

Subject Categories

Other Engineering and Technologies

Computational Mathematics

Other Natural Sciences not elsewhere specified

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9/2/2019 1