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Filtering by: Committee Member Field, Thomas A. Creator Woods, Douglas N.

High Order Finite Elements SN Transport in X-Y Geometry on Meshes with Curved Surfaces in the Thick Diffusion Limit

Creator:

Woods, Douglas N.

Abstract:

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...

Resource Type:

Masters Thesis

Full Text:

element library employed. A convergence study using the method of manufactured solutions demonstrates the
Discrete Ordinates Radiation Transport using High-Order Finite Element Spatial Discretizations on Meshes with Curved Surfaces

Creator:

Woods, Douglas N.

Abstract:

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...

Resource Type:

Dissertation

Full Text:

, BLAST must be integrated with a radiation transport package that is able to model the radiation field