Single-Ray Streaming Behavior for Discontinuous Finite Element Spatial Discretizations

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