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• W2248767681 abstract "The objective of this research is to investigate the upscaling of flow and transport models including both an evolving solid-liquid interface and a quite general potentially even oscillating interaction potential. Starting from a comprehensive pore-scale model, formal, two-scale, asymptotic expansion in a level set framework is applied. In doing so, the interplay between flow, transport, interaction potential, and evolving geometry becomes evident. As a result of an averaging procedure, a fully coupled micro-macro model is established with new main variables. Moreover, time- and space-dependent coefficient functions are explicitly characterized by means of supplementary, fully coupled cell problems. The theoretical results obtained are complemented by the numerical computations of a heterogeneous multiscale scenario with a focus on the development of anisotropic transport. Because of the general framework considered in this research, numerous application are expected, such as in biology or colloidal dynamics." @default.
• W2248767681 created "2016-06-24" @default.
• W2248767681 creator A5053845511 @default.
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• W2248767681 date "2015-01-01" @default.
• W2248767681 modified "2023-10-01" @default.
• W2248767681 title "Upscaling the Flow and Transport in an Evolving Porous Medium with General Interaction Potentials" @default.
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• W2248767681 doi "https://doi.org/10.1137/140990292" @default.
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