Graduate Thesis Or Dissertation
 

Problems of Shape and Information in Multiscale Modeling of Transport Phenomena

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/5138jj81x

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  • This work is a compilation of problems that deal with multiscale analysis of transport phenomena in environmental systems. A common feature among the problems studied here is the presence of non-negligible microscale structure in various forms. Each problem is approached from the perspective that a macroscopic observable encodes aspects of the structure on the smaller scales. In some cases, the presence of microscopic structure transforms the macroscopic dynamics in a non-trivial fashion that would be virtually unpredictable without proper upscaling. The different types of microscale structure studied here include stationary morphological information (as would be encountered in porous materials), segregation of mass (as would be seen in a poorly mixed system), molecular-scale structural heterogeneities (i.e. surface roughness), and evolving morphologies (in biofilm growth in porous media). A major focus is porous media systems, and most of the multiscale analyses are performed in the context of the method of volume averaging.
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  • 2017-08-22 to 2019-04-21

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