Polynomial Characteristics Method for Neutron Transport in 3D extruded geometries

I. Zmijarevic (1) , L. Graziano (1) , S. Santandrea (1) , D. Sciannandrone (1)

1 CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire)

- A polynomial expansion in the axial direction has been implemented in the Method Of Characteristics framework, for the solution of the mono-group, steady state neutron transport equation for 3D extruded geometries. This work has been realized in the context of the APOLLO3$^R$ project and, in particular, in the Two & three Dimensional Transport (TDT) module. In this paper we weigh up benefits and disadvantages of this approach, when comparing to the classical Step Characteristics (SC) approximation, already available in APOLLO3$^R$ .

Keywords: MOC 3D; neutronic transport ASTRID

Domains: Nuclear Experiment [nucl-ex]; Nuclear Theory [nucl-th]

I. Zmijarevic, L. Graziano, S. Santandrea, D. Sciannandrone. Polynomial Characteristics Method for Neutron Transport in 3D extruded geometries. MandC 2017 - International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Apr 2017, Jeju, South Korea. ⟨cea-02434035⟩