Continuous-Energy Deterministic Neutron-Transport Calculation Method Featuring Full Energy-domain Coupling and Function Expansion

Deterministic methods for solving the neutron transport equation predominantly rely on multi-group approximations, which necessitate the construction of specialized multi-group cross-section libraries and intricate resonance calculations. This approach necessitates approximations which introduce inherent limitations, including reliance on representative spectra and inaccuracies in calculating key phenomena such as spatial and energy self-shielding, resonance interference, and temperature effects. This work presents a novel continuous-energy deterministic neutron transport methodology based on function expansion. Neutron spectra are represented using orthogonal polynomial bases in non-resonance energy ranges and wavelet bases within resonance ranges, enabling accurate resolution of the complex spectral behavior across the entire energy domain. a specialized scattering method accurately captures neutron energy transfer between these distinct Then energy ranges. Moreover, this method achieves greater generality by directly utilizing continuous-energy cross-section data, thereby avoiding the limitations inherent in multi-group approaches. Overall, this approach offers a potentially more accurate and general solution by eliminating the need for resonance calculations and directly resolving the energy dependence of neutron spectra. Preliminary validation studies performed on a series of benchmark problems demonstrate the feasibility and accuracy of the proposed method.