The high-order finite element S[subscript N] transport equations are solved on several test problems to investigate the behavior of the discretization method on meshes with curved edges in X-Y geometry. Simpler problems ensured the correct implementation of MFEM, the general fi nite element library employed. A convergence study using the...
Soil is a valuable medium when investigating the past-- from understanding rates of development, landform evolution, to the construction of various predictive models. Landforms and sediments provide insight into depositional environments and soil morphology indicates pedogenic change within those landforms. The rate at which pedogenesis occurs has been quantitatively measured...
We spatially discretize the Sn transport equation using the high-order (HO) discontinuous finite element method (DFEM) on HO meshes. Previous work provided a proof-of-concept for this spatial discretization method in X-Y geometry. Included in the present work, we derive a spatial discretization for the Sn transport equation in both X-Y...