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

Abstract

ABSTRACTWe apply the Variable Eddington Factor (VEF) acceleration method to the 1-D, one-group SN equations 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 SN and 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 SN and drift-diffusion solutions.