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Discrete formulation for two-dimensional multigroup neutron diffusion equations

Vosoughi, N ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1016/S0306-4549(03)00222-6
  3. Publisher: 2004
  4. Abstract:
  5. The objective of this paper is to introduce a new numerical method for neutronic calculation in a reactor core. This method can produce the final finite form of the neutron diffusion equation by classifying the neutronic variables and using two kinds of cell complexes without starting from the conventional differential form of the neutron diffusion equation. The method with linear interpolation produces the same convergence as the linear continuous finite element method. The quadratic interpolation is proven; the convergence order depends on the shape of the dual cell. The maximum convergence order is achieved by choosing the dual cell based on two Gauss' points. The accuracy of the method was examined with a well-known IAEA two-dimensional benchmark problem. The numerical results demonstrate the effectiveness of the new method. © 2003 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Convergence of numerical methods ; Reactor cores ; Neutrons ; Interpolation ; Finite element method ; Diffusion
  8. Source: Annals of Nuclear Energy ; Volume 31, Issue 3 , 2004 , Pages 231-253 ; 03064549 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0306454903002226