Variable Eddington Factor Method for the SN Equations with Lumped Discontinuous Galerkin Spatial Discretization Coupled to a Drift-Diffusion Acceleration Equation with Mixed Finite-Element Discretization Academic Article uri icon

abstract

  • © 2018 Taylor & Francis Group, LLC. We apply the Variable Eddington Factor (VEF) acceleration method to the 1-D, one-group SNequations with a Lumped Linear Discontinuous Galerkin (LLDG) spatial discretization in conjunction with a drift-diffusion acceleration equation discretized with the constant-linear Mixed Finite-Element Method (MFEM). While the VEF method is quite old, its application to this particular combination of SNand drift-diffusion discretizations is new. In addition to demonstrating the basic properties of our method, we investigate slope reconstruction techniques for improving the consistency between the SNand drift-diffusion solutions.

author list (cited authors)

  • Olivier, S. S., & Morel, J. E.

citation count

  • 5

publication date

  • November 2017