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Single-Ray Streaming Behavior for Discontinuous Finite Element Spatial Discretizations
Volume 142 · Number 1 · September 2002 · Pages 75-84
Technical Note
R. P. Smedley-Stevenson
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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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