The Analytic Coarse-Mesh Finite Difference Method for Multigroup and Multidimensional Diffusion Calculations

Aragonés Beltrán, José María; Ahnert Iglesias, Carolina y García Herranz, Nuria (2007). The Analytic Coarse-Mesh Finite Difference Method for Multigroup and Multidimensional Diffusion Calculations. "Nuclear Science and Engineering", v. 157 (n. 1); pp. 1-15. ISSN 0029-5639.

Descripción

Título: The Analytic Coarse-Mesh Finite Difference Method for Multigroup and Multidimensional Diffusion Calculations
Autor/es:
  • Aragonés Beltrán, José María
  • Ahnert Iglesias, Carolina
  • García Herranz, Nuria
Tipo de Documento: Artículo
Título de Revista/Publicación: Nuclear Science and Engineering
Fecha: Septiembre 2007
Volumen: 157
Materias:
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Ingeniería Nuclear [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

Texto completo

[img]
Vista Previa
Pdf - Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (648kB) | Vista Previa

Resumen

In this work we develop and demonstrate the analytic coarse-mesh finite difference (ACMFD) method for multigroup - with any number of groups - and multidimensional diffusion calculations of eigenvalue and external source problems. The first step in this method is to reduce the coupled system of the G multigroup diffusion equations, inside any homogenized region (or node) of any size, to the G independent modal equations in the real or complex eigenspace of the G × G multigroup matrix. The mathematical and numerical analysis of this step is discussed for several reactor media and number of groups. As a second step, we discuss the analytical solutions in the general (complex) modal eigenspace for one-dimensional plane geometry, deriving the generalized Chao's relation among the surface fluxes and the net currents, at a given interface, and the node-average fluxes, essential in the ACMFD method. We also introduce here the treatment of heterogeneous nodes, through modal interface flux discontinuity factors, and show the analytical and numerical application to core-reflector problems, for a single infinite reflector and for reflectors with two layers of different materials. Then, we address the general multidimensional case, with rectangular X-Y-Z geometry considered, showing the equivalency of the methods of transverse integration and incomplete expansion of the multidimensional fluxes, in the real or complex modal eigenspace of the multigroup matrix. A nonlinear iteration scheme is implemented to solve the multigroup multidimensional nodal problem, which has shown a fast and robust convergence in proof-of-principle numerical applications to realistic pressurized water reactor cores, with heterogeneous fuel assemblies and reflectors.

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
Sin especificar516560 (FI60)NURESIMSin especificarSixth EURATOM Framework - ProgrammeIntegrated Project NURESIM “European Platform for Nuclear Reactor Simulations2
Sin especificarENE2005-020640 FTNSin especificarMinisterio de Ciencia y TecnologíaSin especificar

Más información

ID de Registro: 44292
Identificador DC: http://oa.upm.es/44292/
Identificador OAI: oai:oa.upm.es:44292
URL Oficial: http://www.ans.org/store/article-2709/
Depositado por: Memoria Investigacion
Depositado el: 10 Ene 2017 08:38
Ultima Modificación: 12 Ene 2017 11:33
  • Open Access
  • Open Access
  • Sherpa-Romeo
    Compruebe si la revista anglosajona en la que ha publicado un artículo permite también su publicación en abierto.
  • Dulcinea
    Compruebe si la revista española en la que ha publicado un artículo permite también su publicación en abierto.
  • Recolecta
  • e-ciencia
  • Observatorio I+D+i UPM
  • OpenCourseWare UPM