[1K05-06] Analysis Method 2 (Monte Carlo)

[1K05] Development of the Functional Expansion Tally Method Expanded by Numerical Basis Functions Extracted by Singular Value Decomposition

(2) Application to One-Dimensional Whole Core Geometry

*Ryoichi Kondo¹, Yasunobu Nagaya¹ (1. JAEA)

Keywords:Functional expansion tallies, Monte Carlo calculations, singular value decomposition, numerical basis functions, whole core calculation

A functional expansion tally (FET) method expanded by numerical basis functions is under development for Monte Carlo transport simulation. In this work, a multi-group Monte Carlo calculation was performed to obtain the flux distribution with the FET method using numerical basis functions for one-dimensional whole core geometry. The numerical basis functions were generated by singular value decomposition of fluxes, which were calculated by a deterministic method in unit assembly with various calculation conditions. The whole core flux distribution was calculated by expanding the flux distribution of each assembly with the numerical basis functions. The accuracy of the proposed method was confirmed in comparison with the discrete tally method and the conventional Legendre polynomials based FET method.