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Resolution of the Generalized Eigenvalue Problem in the Neutron Diffusion Equation Discretized by the Finite Volume Method
Joint Authors
Bernal, Álvaro
Ginestar, Damián
Miró, Rafael
Verdú, G.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Numerical methods are usually required to solve the neutron diffusion equation applied to nuclear reactors due to its heterogeneous nature.
The most popular numerical techniques are the Finite Difference Method (FDM), the Coarse Mesh Finite Difference Method (CFMD), the Nodal Expansion Method (NEM), and the Nodal Collocation Method (NCM), used virtually in all neutronic diffusion codes, which give accurate results in structured meshes.
However, the application of these methods in unstructured meshes to deal with complex geometries is not straightforward and it may cause problems of stability and convergence of the solution.
By contrast, the Finite Element Method (FEM) and the Finite Volume Method (FVM) are easily applied to unstructured meshes.
On the one hand, the FEM can be accurate for smoothly varying functions.
On the other hand, the FVM is typically used in the transport equations due to the conservation of the transported quantity within the volume.
In this paper, the FVM algorithm implemented in the ARB Partial Differential Equations solver has been used to discretize the neutron diffusion equation to obtain the matrices of the generalized eigenvalue problem, which has been solved by means of the SLEPc library.
American Psychological Association (APA)
Bernal, Álvaro& Miró, Rafael& Ginestar, Damián& Verdú, G.. 2014. Resolution of the Generalized Eigenvalue Problem in the Neutron Diffusion Equation Discretized by the Finite Volume Method. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1034091
Modern Language Association (MLA)
Bernal, Álvaro…[et al.]. Resolution of the Generalized Eigenvalue Problem in the Neutron Diffusion Equation Discretized by the Finite Volume Method. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1034091
American Medical Association (AMA)
Bernal, Álvaro& Miró, Rafael& Ginestar, Damián& Verdú, G.. Resolution of the Generalized Eigenvalue Problem in the Neutron Diffusion Equation Discretized by the Finite Volume Method. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1034091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034091