期刊
TRANSPORT IN POROUS MEDIA
卷 135, 期 1, 页码 243-270出版社
SPRINGER
DOI: 10.1007/s11242-020-01477-y
关键词
Coupling; Free flow; Pore-network model; Porous medium; Micromodel
资金
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [SFB 1313, 327154368]
- National Natural Science Foundation of China (NSFC) [51906142]
Modeling coupled systems of free flow adjacent to a porous medium by means of fully resolved Navier-Stokes equations is limited by the immense computational cost and is thus only feasible for relatively small domains. Coupled, hybrid-dimensional models can be much more efficient by simplifying the porous domain, e.g., in terms of a pore-network model. In this work, we present a coupled pore-network/free-flow model taking into account pore-scale slip at the local interfaces between free flow and the pores. We consider two-dimensional and three-dimensional setups and show that our proposed slip condition can significantly increase the coupled model's accuracy: compared to fully resolved equidimensional numerical reference solutions, the normalized errors for velocity are reduced by a factor of more than five, depending on the flow configuration. A pore-scale slip parameter beta(pore) required by the slip condition was determined numerically in a preprocessing step. We found a linear scaling behavior of beta(pore) with the size of the interface pore body for three-dimensional and two-dimensional domains. The slip condition can thus be applied without incurring any run-time cost. In the last section of this work, we used the coupled model to recalculate a microfluidic experiment where we additionally exploited the flat structure of the micromodel which permits the use of a quasi-3D free-flow model. The extended coupled model is accurate and efficient.
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