Graduate Thesis Or Dissertation
 

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

Pubblico Deposited

Contenuto scaricabile

Scarica il pdf
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9s1618981

Descriptions

Attribute NameValues
Creator
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 method of manufactured solutions demonstrates the convergence rate as a function of number of unknowns for meshes whose sides are described by polynomial curves of increasing order. Optically thick and diffusive problems indicate the DGFEM transport solution trends toward a numerical solution of the diffusion equation, though a rigorous diffusion limit analysis has not yet been performed. A direct solve approach to computing the angular flux unknowns simultaneously is presented as an alternative to source iteration that involves linear algebraically inverting the "streaming plus collision minus scattering" operator. These results serve as a proof-of-concept of this spatial discretization method.
License
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Committee Member
Academic Affiliation
Non-Academic Affiliation
Subject
Dichiarazione dei diritti
Publisher
Peer Reviewed
Language
Replaces

Le relazioni

Parents:

This work has no parents.

In Collection:

Elementi

Thumbnail Titolo Data caricata Visibilità Azioni
file details WoodsThesis2016.pdf 2017-08-09 Pubblico Scaricare