Galerkin-quadratures for the SNmethod in 2D cartesian geometries and application to forward-peaked scattering particle transport problems Conference Paper uri icon

abstract

  • Forward-peaked-scattering problems pose a challenge for deterministic SNschemes that utilize standard quadrature sets (e.g., level symmetric sets). Specifically, the standard quadratures do not yield accurate results and oftentimes do not converge at all in the case of highly forward-peaked scattering. Triangular Gauss-Legendre-Chebyshev (GLC) quadrature sets of the Galerkin type have been shown to improve convergence for these problems in 3D Cartesian and rz geometries. We present here 2D Triangular GLC quadrature sets of the Galerkin type and derive rules for the 2D Product GLC of Galerkin type. A comparison of these quadratures with standard level-symmetric sets is made using a homogenous two-dimensional domain with a one-quadrant isotropic incident source for highly forward-peaked scattering material; the scattering is modeled with a Dirac function δ (μ-μ0) where μ0=0.9, 0.95 and 0.99.

author list (cited authors)

  • Trahan, T., Ragusa, J., & Morel, J.

publication date

  • December 2009