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Home / Publications / Journals / Nuclear Science and Engineering / Volume 142 / Number 1

Single-Ray Streaming Behavior for Discontinuous Finite Element Spatial Discretizations

R. P. Smedley-Stevenson

Nuclear Science and Engineering / Volume 142 / Number 1 / September 2002 / Pages 75-84

Technical Note /

This technical note compares the results for streaming along a single-ray direction from linear discontinuous finite element discretizations of the transport equation using both Galerkin and Petrov-Galerkin weight functions. The utility of a slope limiter to remove extrema from the transport solution is investigated as an alternative to mass lumping of the removal operator; the latter procedure introduces significant numerical diffusion and can destroy the fidelity of the solution. Results are presented for single-ray propagation in slab geometry and two-dimensional planar geometry.

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