High-order discrete ordinate transport in hexagonal geometry: A new capability in ERANOS

Le Tellier, R. and Suteau, C. and Fournier, D. and Ruggieri, J. M. (2010) High-order discrete ordinate transport in hexagonal geometry: A new capability in ERANOS. Il nuovo cimento C, 33 (1). pp. 121-128. ISSN 1826-9885

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Abstract

This paper presents the implementation of an arbitrary order discontinuous Galerkin scheme within the framework of a discrete ordinate solver of the neutron transport equation for nuclear reactor calculations. More precisely, it deals with non-conforming spatial meshes for the 2D and 3D modeling of core geometries based on hexagonal assemblies. This work aims at improving the capabilities of the ERANOS code system dedicated to fast reactor analysis and design. Both the angular quadrature and spatial scheme peculiarities for hexagonal geometries are presented. A particular focus is set on the spatial non-conforming mesh and variable order capabilities of this scheme in anticipation to the development of spatial adaptiveness algorithms. These features are illustrated on a 3D numerical benchmark with comparison to a Monte Carlo reference and a 2D benchmark that shows the potential of this scheme for both h- and p-adaptation.

Item Type: Article
Uncontrolled Keywords: Nuclear fission power ; Neutron transport: diffusion and moderation ; Theory, design, and computerized simulation
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 31 Mar 2020 15:26
Last Modified: 31 Mar 2020 15:26
URI: http://eprints.bice.rm.cnr.it/id/eprint/16801

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