Application of Wavelet Scaling Function Expansion to Continuous-Energy Resonance Calculation

Wavelet expansion method can simulate functions oscillating violently. It has been successfully applied to simulate the violent variety of the angular flux. Neutron spectrum has fierce oscillation within the resonance energy range. This paper introduces a method to discretize the energy variable by coupling the multi-group method and wavelets expansion method, in which Daubechies’ wavelet scaling functions are used to expand the energy-dependent angular flux within the resonance energy range while traditional multi-group method is used within fast and thermal neutron ranges. Preliminary calculation results indicate that this method can obtain precise k-inf, as well as determine the fine-structure energy distribution of the angular flux, which is significant to the resonance self-shielding calculation.