Numerical evidence on the formulation of the Fourier fundamental mode coefficient as a source convergence indicator

Abstract

In our previous work, it is theoretically proven that Fourier Fundamental Mode Coefficient (FFMC) is a potential fission source convergence indicator for the application of the Monte Carlo k-eigenvalue calculation. The advantage of using this novel approach is that its computation does not require spatial discretization. Thus, it eliminates the burden of sorting fission sites into their respective bin and also avoids the subjectivity of choosing the number of spatial bins as imposed by the calculation of the Shannon entropy indicator. Unfortunately, the theoretical formulation of FFMC as a source convergence indicator is purely based on mathematical deduction. The mathematical theorems used in the formulation of FFMC is still yet to be verified numerically via Monte Carlo k-eigenvalue calculation. In this paper, we provide the numerical evidence that justifies the formulation of FFMC. The outcome achieved from this work confirms that the theoretical formulation of FFMC is valid.