Discontinuous Galerkin variable Eddington factor methods

The Variable Eddington Factor (VEF) method, also known as Quasi-diffusion (QD) is a rapidly-converging nonlinear scheme for solving the radiation transport equation. We derive an arbitrary-order Discontinuous Galerkin Variable Eddington Factor method that is effective on a linearized thermal radiative transfer problem in both transport outer iterations and inner preconditioned stabilized bi-conjugate gradient method (BiCGStab) iterations while supporting the use of a negative flux fix-up inside the iteration. The inner iterations are shown to be uniform in the mesh size, polynomial order, and penalty parameter. (authors)