Asadzadeh, M. and Thevenot, L. (2010) On discontinuous Galerkin and discrete ordinates approximations for neutron transport equation and the critical eigenvalue. Il nuovo cimento C, 33 (1). pp. 21-29. ISSN 1826-9885
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Abstract
The objective of this paper is to give a mathematical framework for a fully discrete numerical approach for the study of the neutron transport equation in a cylindrical domain (container model). More specifically, we consider the discontinuous Galerkin (DG) finite element method for spatial approximation of the mono-energetic, critical neutron transport equation in an infinite cylindrical domain e Ω in R3 with a polygonal convex cross-section Ω. The velocity discretization relies on a special quadrature rule developed to give optimal estimates in discrete ordinate parameters compatible with the quasi-uniform spatial mesh. We use interpolation spaces and derive optimal error estimates, up to maximal available regularity, for the fully discrete scalar flux. Finally we employ a duality argument and prove superconvergence estimates for the critical eigenvalue.
| Item Type: | Article |
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| Uncontrolled Keywords: | Neutorn absorption ; Neutron transport: diffusion and moderation ; Neutron scattering |
| Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |
| Depositing User: | Marina Spanti |
| Date Deposited: | 31 Mar 2020 15:14 |
| Last Modified: | 31 Mar 2020 15:14 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/16788 |
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