A finite element/boundary element hybrid method for 2-D neutron diffusion calculations

Çavdar, Ş.; Ozgener, H.A.

doi:10.1016/j.anucene.2004.04.006

Cited by 19 publications

(2 citation statements)

References 18 publications

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“…Another approach is the Hierarchical Domain Decomposition (HDD) method (Purwadi et al, 1998;Chiba et al, 2001;Chiba, 2011). However, an expansion of the volume terms in Legendre polynomials fits well with the formalism adopted for the face-to-face integrals and results into an overall quite efficient procedure, despite not being of the 'all boundary' type (in this respect, the present approach has some similitude with the hybrid approach by Cavdar and Ozgener (2004) in which a FEM technique is used for the volume integrals).…”

Section: The Volume-to-surface and Volume-to-volume Integralsmentioning

confidence: 83%

Solution of 3D linearly anisotropic scattering, fixed-source multigroup xyz reactor problems by the AN Boundary Element – Response Matrix method

Giusti

Montagnini

2019

Annals of Nuclear Energy

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Section: The Volume-to-surface and Volume-to-volume Integralsmentioning

confidence: 83%

Solution of 3D linearly anisotropic scattering, fixed-source multigroup xyz reactor problems by the AN Boundary Element – Response Matrix method

Giusti

Montagnini

2019

Annals of Nuclear Energy

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“…In comparison with the other numerical methods (finite difference and FEs), the discontinuous FE plan has both advantages and disadvantages, which are important for developing specific applications [10,11].…”

Section: Introductionmentioning

confidence: 99%

A Comparative Analysis of Neutron Transport Calculations Based on Variational Formulation and Finite Element Approaches

et al. 2020

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The application of continuous and discontinuous approaches of the finite element method (FEM) to the neutron transport equation (NTE) has been investigated. A comparative algorithm for analyzing the capability of various types of numerical solutions to the NTE based on variational formulation and discontinuous finite element method (DFEM) has been developed. The developed module is coupled to the program discontinuous finite element method for neutron (DISFENT). Each variational principle (VP) is applied to an example with drastic changes in the distribution of neutron flux density, and the obtained results of the continuous and discontinuous finite element (DFE) have been compared. The comparison between the level of accuracy of each approach using new module of DISFENT program has been performed based on the fine mesh solutions of the multi-PN (MPN) approximation. The obtained results of conjoint principles (CPs) have been demonstrated to be very accurate in comparison to other VPs. The reduction in the number of required meshes for solving the problem is considered as the main advantage of this principle. Finally, the spatial additivity to the context of the spherical harmonics has been implemented to the CP, to avoid from computational error accumulation.

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Stability analysis in nuclear reactor using Lyapunov exponent

Khodabakhsh¹,

Behnia²,

Jahanbakhsh³

2008

Annals of Nuclear Energy

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A finite element/boundary element hybrid method for 2-D neutron diffusion calculations

Cited by 19 publications

References 18 publications

Solution of 3D linearly anisotropic scattering, fixed-source multigroup xyz reactor problems by the AN Boundary Element – Response Matrix method

Solution of 3D linearly anisotropic scattering, fixed-source multigroup xyz reactor problems by the AN Boundary Element – Response Matrix method

A Comparative Analysis of Neutron Transport Calculations Based on Variational Formulation and Finite Element Approaches

Stability analysis in nuclear reactor using Lyapunov exponent

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