A two-mesh adaptive mesh refinement technique for neutral-particle transport using a higher-order DGFEM

We present a two-mesh Adaptive Mesh Refinement technique for the S N neutral-particle transport equation in 2D. A high-order (up to order 4) Discontinuous Galerkin (DG) finite element discretization is employed with standard upwinding. A suitable Diffusion Synthetic Acceleration (DSA) scheme is derived to precondition the transport solves. The DSA scheme, also based on a DG discretization, is derived directly from the discretized high-order DG S N transport equation. Results are presented to demonstrate the superiority of AMR for DSA-accelerated S N transport solves.