APPLICATION OF QUADRUPLE RANGE QUADRATURES TO THREE-DIMENSIONAL MODEL SHIELDING PROBLEMS Academic Article uri icon

abstract

  • A widely used numerical method for discretizing the direction variable in the transport equation is the discrete ordinates technique. Here, we test various discrete ordinates quadrature sets on two three-dimensional (3-D) (X-Y-Z) shielding problems: the doglegged void neutron model and the pool critical assembly model. Commonly used quadrature sets, including the standard level symmetric sets and double Gauss-Chebyshev sets, produce significant ray effects associated with material discontinuities in both models. Abu-Shumays designed the quadruple range (QR) sets specifically for these types of problems and showed that they perform well in two-dimensional X-Y geometry. Here, we show that compared to more commonly used quadrature sets, the 3-D QR sets substantially reduce ray effects associated with material discontinuities in 3-D X-Y-Z discrete ordinates calculations.

published proceedings

  • NUCLEAR TECHNOLOGY

author list (cited authors)

  • Jarrell, J. J., Adams, M. L., & Risner, J. M.

citation count

  • 5

complete list of authors

  • Jarrell, Joshua J||Adams, Marvin L||Risner, Joel M

publication date

  • November 2009