Flux-limited diffusion theory for spatially discretized equations : a discretized derivation of Levermore-Pomraning FLDT Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6h440w34d

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • Spatially discretized diffusion approximation equations are derived directly from spatially discretized radiation transport equations in 1-D slab geometry. Derivations for isotropic diffusion theory (IDT) and Levermore-Pomraning's flux-limited diffusion theory (FLDT) are applied to lumped linear discontinuous (LLD) transport equations. We find that the (energy density) solution is continuous across the edge for EDT. For FLDT, we find that the intensity may he discontinuous across a cell edge; this doubles the number of points that traditionally need to be solved for in a diffusion approximation. The FLDT derivation produces unique discretized flux-limited diffusion equations. We produced a numerical scheme for these FLDT equations that includes a new iteration on the flux-limiting parameter and a local iteration on the edge discontinuities. Numerical results indicate that this approach is an improvement over standard numerical FLDT discretization schemes.
Resource Type
Date Available
Date Copyright
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Made available in DSpace on 2012-08-29T16:42:55Z (GMT). No. of bitstreams: 1 LaubschBertrand2001.pdf: 606842 bytes, checksum: 81d3e16ff17e7d105ef479dad2fc105f (MD5) Previous issue date: 2000-05-03
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-08-29T16:39:51Z (GMT) No. of bitstreams: 1 LaubschBertrand2001.pdf: 606842 bytes, checksum: 81d3e16ff17e7d105ef479dad2fc105f (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-08-29T16:42:55Z (GMT) No. of bitstreams: 1 LaubschBertrand2001.pdf: 606842 bytes, checksum: 81d3e16ff17e7d105ef479dad2fc105f (MD5)
  • description.provenance : Submitted by Sergio Trujillo (jstscanner@gmail.com) on 2012-08-28T23:18:16Z No. of bitstreams: 1 LaubschBertrand2001.pdf: 606842 bytes, checksum: 81d3e16ff17e7d105ef479dad2fc105f (MD5)

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items