• Mathematics, Computer Science
  • Published in
    SIAM Journal of Applied…
    2015
  • DOI:10.1137/140990292

Upscaling the Flow and Transport in an Evolving Porous Medium with General Interaction Potentials

@article{Ray2015UpscalingTF,
  title={Upscaling the Flow and Transport in an Evolving Porous Medium with General Interaction Potentials},
  author={Nadja Ray and Tobias Elbinger and Peter Knabner},
  journal={SIAM Journal of Applied Mathematics},
  year={2015},
  volume={75},
  pages={2170-2192}
}
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… CONTINUE READING

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