Extending Embedded Monte Carlo as a novel method for nuclear data uncertainty quantification

Special Issue on ‘Overview of recent advances in HPC simulation methods for nuclear applications’, edited by Andrea Zoia, Elie Saikali, Cheikh Diop and Cyrille de Saint Jean

Open Access

Table 4.

Nuclear data uncertainties using TMC and EMC in eigenvalue mode compared with the deterministic sensitivities for the analytic benchmark [19].

Method	Parameter	Mean k_eff	σ_stat²	σ_tot²	σ_ND²	σ_ND [pcm]	Deterministic σ_ND [pcm]
TMC	ρ_²³⁹Pu	0.9797	0.53 ⋅ 10⁻⁸	9.19 ⋅ 10⁻⁷	9.13 ⋅ 10⁻⁷	95.57	N/A
	$\bar{ν}$ $\overline{\nu}$	0.9959	1.89 ⋅ 10⁻⁸	1.03 ⋅ 10⁻⁵	1.02 ⋅ 10⁻⁵	320.1	324.2
	χ	0.9845	5.70 ⋅ 10⁻⁹	9.05 ⋅ 10⁻⁷	8.99 ⋅ 10⁻⁷	89.04	92.90
	Combined	0.9805	0.53 ⋅ 10⁻⁸	1.32 ⋅ 10⁻⁵	1.32 ⋅ 10⁻⁵	362.8	N/A

EMC	ρ_²³⁹Pu	0.9796	3.56 ⋅ 10⁻⁷	1.21 ⋅ 10⁻⁶	8.56 ⋅ 10⁻⁷	92.54	N/A
	$\bar{ν}$ $\overline{\nu}$	0.9958	3.31 ⋅ 10⁻⁷	1.13 ⋅ 10⁻⁵	1.09 ⋅ 10⁻⁵	330.5	324.2
	χ	0.9846	3.45 ⋅ 10⁻⁸	8.61 ⋅ 10⁻⁷	8.26 ⋅ 10⁻⁷	90.89	92.90
	Combined	0.9804	3.56 ⋅ 10⁻⁷	1.25 ⋅ 10⁻⁵	1.24 ⋅ 10⁻⁵	351.9	N/A

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