CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2006, Vol. 23 ›› Issue (5): 505-510.

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Dirac Delta Function Discrete Ordinate Method for a One-Speed Transport Equation with Anisotropic Scatterings

YANG Bo, LI Mao-sheng   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2005-04-19 Revised:2005-10-24 Online:2006-09-25 Published:2006-09-25

Abstract: With the Dirac delta function discrete ordinate method,a one-speed time-dependent transport equation with anisotropy scatterings is studied in a slab.The scattering function is assumed a combination of linearly anisotropic and strongly forward-backward scattering.The angular flux is split into a delta function and a low order function.The source term is obtained by integrating the delta function and quadrature the low order function.Numerical results for criticality eigenvalues are obtained and tabulated with different scattering parameters including extreme regions.

Key words: discrete ordinate method, anisotropy scattering, Dirac delta function

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