Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes II

Authors:
Edward W larsen;J. E. Morel
Affiliations:
Department of Nuclear Engineering, The University of Michigan, Ann Arbor, Michigan 48109, USA;University of California, Los Alamos National Laboratory, Radiation Transport Group, X-6, Los Alamos, New Mexico 87545, USA
Venue:
Journal of Computational Physics
Year:
1989

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Abstract

In a recent article (Larsen, Morel, and Miller, J. Comput. Phys.69, 283 (1987)), a theoretical method is described for assessing the accuracy of transport differencing schemes in highly scattering media with optically thick spatial meshes. In the present article, this method is extended to enable one to determine the accuracy of such schemes in the presence of numerically unresolved boundary layers. Numerical results are presented that demonstrate the validity and accuracy of our analysis.