Neutron noise calculations using the Analytical Nodal Method and comparisons with analytical solutions
Journal article, 2011

In this study, the neutron noise, i.e. the stationary fluctuations of the neutron flux around its mean value, is calculated in 2-group diffusion theory using the Analytical Nodal Method. A brief description of the calculation of the static flux is also included. The static solution is benchmarked against a reference solution in the case of a homogeneous core. The same calculational scheme for the neutron noise as for the static flux is used. As a dynamical benchmark, the calculated neutron noise for a 2D fully homogeneous reactor is compared with the analytical solution of a centered noise source at different frequencies. The numerical solution is also benchmarked to an off-centered source where the analytical solution is determined using the power reactor approximation, extended to two energy groups. The results of the benchmarks are that the numerical calculations using ANM accurately match the analytical solutions.

Neutron noise

2-Group theory

Power reactor approximation


Diffusion theory


Viktor Larsson

Chalmers, Applied Physics, Nuclear Engineering

Christophe Demaziere

Chalmers, Applied Physics, Nuclear Engineering

Imre Pazsit

Chalmers, Applied Physics, Nuclear Engineering

Hoai Nam Tran

Chalmers, Applied Physics, Nuclear Engineering

Annals of Nuclear Energy

0306-4549 (ISSN) 1873-2100 (eISSN)

Vol. 38 4 808-816

Subject Categories

Other Engineering and Technologies not elsewhere specified

Other Physics Topics

Areas of Advance




More information