[1G14-16] Analysis Method Development 3 Monte-Carlo Calculation

[1G14] Development of the Functional Expansion Tally Method Expanded by Numerical Basis Functions Extracted by Singular Value Decomposition

(1) Verification for One-Dimensional Geometry

*Ryoichi Kondo¹, Yasunobu Nagaya¹ (1. JAEA)

Keywords:Functional expansion tally method, Monte Carlo method, Singular value decomposition

A functional expansion tally (FET) method expanded by numerical basis functions has been developed for Monte Carlo transport simulation. The numerical basis functions were extracted from various flux distributions by singular value decomposition, to expand the target flux distribution with low order bases. In this work, multi-group Monte Carlo calculations were carried out for one-dimensional geometry. The accuracy of the spatial flux distributions obtained by the proposed method was confirmed in comparison with the traditional discrete cell tally method and the FET method expanded by Legendre polynomials.