Work

Moment Asymptotics for the Neutron Transport Equation

Year: 2025

Type: article

Abstract: Over the last decade, ingenuous developments in Monte Carlo methods have enabled the unbiased estimation of adjoint-weighted reactor parameters expressed as bilinear forms, such as kinetics parameters and sensitivity coefficients. A prominent example is the iterated fission probability method, which relies on the simulation of the fission chains descending from an ancestor neutron: The neutron population at an asymptotic fission generation yields an estimate of the importance function (and hence of the adjoint fundamental eigenmode) at the phase-space coordinates of the ancestor neutron.

Source: Nuclear Science and Engineering

DOI: 10.1080/00295639.2025.2460328

Authors: Eric Dumonteil, Emma Horton, Andreas E. Kyprianou, Andrea Zoia

Institutions: Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay - Etablissement de Saclay, Institut de Recherche sur les Lois Fondamentales de l'Univers, University of Warwick

Language: English

Topic: Nuclear reactor physics and engineering

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Funder: Engineering and Physical Sciences Research Council

Awards: Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MaThRad), G876242530