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# Development of a 2-D 2-group neutron noise simulator for hexagonal geometries

## Malmir, H ; Sharif University of Technology

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- Type of Document: Article
- DOI: 10.1016/j.anucene.2010.04.007
- Abstract:
- In this paper, the development of a neutron noise simulator for hexagonal-structured reactor cores using both the forward and the adjoint methods is reported. The spatial discretisation of both 2-D 2-group static and dynamic equations is based on a developed box-scheme finite difference method for hexagonal mesh boxes. Using the power iteration method for the static calculations, the 2-group neutron flux and its adjoint with the corresponding eigenvalues are obtained by the developed static simulator. The results are then benchmarked against the well-known CITATION computer code. The dynamic calculations are performed in the frequency domain which leads to discarding of the time discretisation. Then, the developed 2-D 2-group neutron noise simulator calculates both the discretised forward and the adjoint reactor transfer function between a point source and its induced neutron noise, by assuming the neutron noise source as an "absorber of variable strength" type. The neutron noise induced by a "vibrating absorber" type of noise source may also be modeled using the calculated transfer function. The viability of the simulator is verified for different benchmark cases
- Keywords:
- Finite difference methods ; Forward calculation ; Hexagonal geometries ; Neutron noise simulator ; 2-Group ; Adjoint calculation ; Adjoint methods ; Adjoints ; Computer codes ; Discretisation ; Dynamic calculations ; Eigenvalues ; Frequency domains ; Hexagonal geometry ; Hexagonal meshes ; Iteration method ; Neutron noise ; Noise source ; Point sources ; Static and dynamic ; Structured reactors ; Time discretisation ; Computer graphics ; Eigenvalues and eigenfunctions ; Finite difference method ; Geometry ; Simulators ; Transfer functions ; Neutrons
- Source: Annals of Nuclear Energy ; Volume 37, Issue 8 , 2010 , Pages 1089-1100 ; 03064549 (ISSN)
- URL: http://www.sciencedirect.com/science/article/pii/S0306454910001325?np=y&npKey=6247d2f6acd40142168a6e1422fb08aec547a491537f8daa9df9f9136286d465