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Title: (U) Adjoint-Weighted Leakage Time in SENSMG

Technical Report ·
DOI:https://doi.org/10.2172/1511183· OSTI ID:1511183
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

It is desired to compute the adjoint weighted leakage time $$τ_1$$ for an α-eigenvalue problem. The reciprocal of the leakage time is $$\frac{1}{τ_1}$$ = $$\frac{\langle ψ^*, Ω∙∇ψ \rangle}{\langle ψ^*, \frac{1}{v}ψ \rangle}$$ where $ψ^*$ and $$ψ$$ are the adjoint and forward α-eigenfunctions, respectively; $$v$$ is neutron speed; and the angle brackets indicate an inner product over all independent variables, in this case space, energy, and angle. This memo discusses the implementation of Eq. (1) in the multigroup neutron sensitivity code SENSMG (Refs. 2 and 3), which relies for the neutron transport on the multigroup discrete ordinates code PARTISN (Ref. 4).

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
DOE Contract Number:
89233218CNA000001
OSTI ID:
1511183
Report Number(s):
LA-UR-19-23677
Country of Publication:
United States
Language:
English