Sequential and parallel resolution of the two-group transient neutron diffusion equation using second-degree iterative methods

  • Authors:

  • Omar Flores-Sánchez;Vicente E. Vidal;Victor M. García;Pedro Flores-Sánchez

  • Affiliations:

  • Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Valencia, España and Departamento de Sistemas y Computación, Instituto Tecnol ...;Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Valencia, España;Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Valencia, España;Telebachillerato "El Recreo", Tierra Blanca, Veracruz, México

  • Venue:
  • VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
  • Year:
  • 2006

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Abstract

We present an experimental study of two versions of a second-degree iterative method applied to the resolution of the sparse linear systems related to the 3D multi-group time-dependent Neutron Diffusion Equation (TNDE), which is important for studies of stability and security of nuclear reactors. In addition, the second-degree iterative methods have been combined with an adaptable technique, in order to improve their convergence and accuracy. The authors consider that second-degree iterative methods can be applied and extended to the study of transient analysis with more than two energy groups and they might represent a saving in spatial cost for nuclear core simulations. These methods have been coded in PETSc [1][2][3].