Particle transport in Markov media with spatial gradients: Comparison between reference solutions and Chord Length Sampling

Kowalski, Mikolaj Adam; Larmier, Coline; Madiot, François; Durand, Johan; Lemaire, Sébastien; Zoia, Andrea

doi:10.1016/j.jqsrt.2022.108185

Cited by 5 publications

References 24 publications

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Memory-preserving Chord Length Sampling in three-dimensional spatially heterogeneous Markov media: Preliminary investigations

Tentori,

Larmier,

Durand

et al. 2024

EPJ Web Conf.

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We report on an investigation of particle transport in spatially heterogeneous Markov media using a memory-preserving Chord Length Sampling (CLS) algorithm. CLS are a family of Monte Carlo methods capable of generating approximate solutions of the transport equations in random geometries by generating material interfaces on-the-fly during particle propagation. Since CLS does not preserve the correlations induced by spatial disorder, the sampled solutions generally present discrepancies with respect to the reference solution obtained by solving the Boltzmann equation in a large ensemble of random media realizations. In order to increase the accuracy of CLS, improved CLS models endowed with spatial memory effects have been proposed. In this work we propose a strategy that allows simultaneously taking into account memory effects and spatial gradients in three-dimensional configurations. Preliminary numerical findings are illustrated and compared to reference solutions.

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Memory-preserving Chord Length Sampling in three-dimensional spatially heterogeneous Markov media: Preliminary investigations

Tentori,

Larmier,

Durand

et al. 2024

EPJ Web Conf.

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Overview of the TRIPOLI-4 Monte Carlo code, version 12

Hugot,

Jinaphanh,

Jouanne

et al. 2024

EPJ Nuclear Sci. Technol.

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In this paper we present an overview of the recent advances of the general-purpose Monte Carlo code TRIPOLI-4®, developed at CEA. The features described in this work, which refer to the current version 12 of the code, encompass applications to radiation shielding (variance-reduction methods: Consistent Adjoint-Driven Importance Sampling, Adaptive Multilevel Splitting, and Weight Windows), material activation calculations (Rigorous Two-Step Scheme), reactor physics (fission matrix, kinetics parameters, critical parameter search, kinetics with delayed neutron precursors), criticality-safety (perturbation and sensitivity methods: Standard and Generalized Perturbation Theory) and nuclear instrumentation (fission models, improvements in the electromagnetic shower models, and coupling with the code Geant4).

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