Interface discontinuity factors in the modal eigenspace of the multigroup diffusion matrix

García Herranz, Nuria and Herrero Carrascosa, José Javier and Cuervo Gómez, Diana and Ahnert Iglesias, Carolina (2011). Interface discontinuity factors in the modal eigenspace of the multigroup diffusion matrix. In: "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2011", 08/05/2011 - 12/05/2011, Rio de Janeiro, Brasil. ISBN 978-85-63688-00-2.

Description

Title: Interface discontinuity factors in the modal eigenspace of the multigroup diffusion matrix
Author/s:
  • García Herranz, Nuria
  • Herrero Carrascosa, José Javier
  • Cuervo Gómez, Diana
  • Ahnert Iglesias, Carolina
Item Type: Presentation at Congress or Conference (Article)
Event Title: International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2011
Event Dates: 08/05/2011 - 12/05/2011
Event Location: Rio de Janeiro, Brasil
Title of Book: Proceedings of International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2011
Date: 2011
ISBN: 978-85-63688-00-2
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Ingeniería Nuclear [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Interface discontinuity factors based on the Generalized Equivalence Theory are commonly used in nodal homogenized diffusion calculations so that diffusion average values approximate heterogeneous higher order solutions. In this paper, an additional form of interface correction factors is presented in the frame of the Analytic Coarse Mesh Finite Difference Method (ACMFD), based on a correction of the modal fluxes instead of the physical fluxes. In the ACMFD formulation, implemented in COBAYA3 code, the coupled multigroup diffusion equations inside a homogenized region are reduced to a set of uncoupled modal equations through diagonalization of the multigroup diffusion matrix. Then, physical fluxes are transformed into modal fluxes in the eigenspace of the diffusion matrix. It is possible to introduce interface flux discontinuity jumps as the difference of heterogeneous and homogeneous modal fluxes instead of introducing interface discontinuity factors as the ratio of heterogeneous and homogeneous physical fluxes. The formulation in the modal space has been implemented in COBAYA3 code and assessed by comparison with solutions using classical interface discontinuity factors in the physical space

More information

Item ID: 11962
DC Identifier: http://oa.upm.es/11962/
OAI Identifier: oai:oa.upm.es:11962
Deposited by: Memoria Investigacion
Deposited on: 18 Dec 2012 18:04
Last Modified: 21 Apr 2016 11:09
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