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

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9s1618981

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  • 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.
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  • description.provenance : Approved for entry into archive by Julie Kurtz(julie.kurtz@oregonstate.edu) on 2016-05-25T18:13:16Z (GMT) No. of bitstreams: 1 WoodsThesis2016.pdf: 2109222 bytes, checksum: db3796c8866e09d61946f68a34432214 (MD5)
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