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

作者：Ragusa Jean C^*; Wang Yaqi

来源：Journal of Computational and Applied Mathematics, 2010, 233(12): 3178-3188.

DOI：10.1016/j.cam.2009.12.020

• Adaptive mesh refinement
• SN transport
• Discontinuous Galerkin finite element method
• Diffusion synthetic acceleration

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.

• 出版日期2010-4-15