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Motivated by casting of fresh concrete in reinforced concrete structures, weintroduce a numerical model of a steady-state non-Newtonian fluid flow througha porous domain. Our approach combines homogenization techniques to representthe reinforced domain by the Darcy law with an interface coupling of the Stokesand Darcy flows through the Beavers-Joseph-Saffman conditions. The ensuingtwo-scale problem is solved by the Finite Element Method with consistentlinearization and the results obtained from the homogenization approach areverified against fully resolved direct numerical simulations.

Computational Homogenization of Fresh Concrete Flow Around Reinforcing Bars