Continuous pseudospectral methods for the neutron diffusion equation in 1D geometries

  • Authors:

  • S. GonzáLez-Pintor;D. Ginestar;G. Verdú

  • Affiliations:

  • Departamento de Ingeniería Química y Nuclear, Universidad Politécnica de Valencia, Camino de Vera 14, E-46022 Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera 14, E-46022 Valencia, Spain;Departamento de Ingeniería Química y Nuclear, Universidad Politécnica de Valencia, Camino de Vera 14, E-46022 Valencia, Spain

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2009

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Abstract

The P"L equations are classical approximations to the neutron transport equation that admit a diffusive form. The diffusive form of the P"1 approximation is known as the neutron diffusion equation. Different methods based on the expansion of the neutron flux in terms of a continuous basis of polynomials have been developed for the neutron diffusion equation and tested using two 1D benchmark problems.