Conference paper Open Access

A discrete ordinates solver with diffusion synthetic acceleration for simulations of 2-D and 2-energy group neutron noise problems.

Huaiqian, Yi; Vinai, Paolo; Demazière, Christophe

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.

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