Analysis of an a posteriori error estimator for the transport equation with S-N and discontinuous Galerkin discretizations

作者：Fournier D^*; Le Tellier R; Suteau C

来源：Annals of Nuclear Energy, 2011, 38(2-3): 221-231.

DOI：10.1016/j.anucene.2010.11.006

• Error estimation
• Adaptiveness
• Discontinuous Galerkin
• S-N discretization

We present an error estimator for the S-N, neutron transport equation discretized with an arbitrary high-order discontinuous Galerkin method. As a starting point, the estimator is obtained for conforming Cartesian meshes with a uniform polynomial order for the trial space then adapted to deal with non-conforming meshes and a variable polynomial order. Some numerical tests illustrate the properties of the estimator and its limitations. Finally, a simple shielding benchmark is analyzed in order to show the relevance of the estimator in an adaptive process.

• 出版日期2011-3
• 单位中国地震局