Binary stochastic media transport : a coupled mesh based method Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/p2676x486

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  • Transport in a binary stochastic media has been an area of interest for many applications over the past three decades. Many different methods have been attempted, most based on the Levermore-Pomraning coupled transport model. However, this method has never been able to correctly solve problems where a large amount of scattering is present. Many modifications of the code involve making assumptions that simplify a term in the balance equation that involves material transition probabilities inside of a cell. We introduce a new method, where all transport is carried out on a mesh. Using the mesh, the difficult coupling term is not present in the balance equation. We explore how the new coupled equations perform in a variety of problems. Though not all facets of the equations are investigated (e.g. interior source problems), the equations perform very well. Results are achieved with relative errors under 1% where past methods produced errors of at least 30% and up to 77% in similar cases.
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