Article ID Journal Published Year Pages File Type
4641093 Journal of Computational and Applied Mathematics 2010 11 Pages PDF
Abstract

We present a two-mesh Adaptive Mesh Refinement technique for the SNSN 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 SNSN transport equation. Results are presented to demonstrate the superiority of AMR for DSA-accelerated SNSN transport solves.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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