Mathematical modeling of junctions in fluid mechanics via two-scale convergence

摘要

We derive the effective models for describing the behavior of the fluid in 1D-1D junctions (pipes) and 2D-2D junctions. Starting from the Navier-Stokes system in thin domain and using the two-scale convergence, we justify the two-scale model describing the flow through a junction. Finally, separating the variables in the two-scale model, we obtain the effective junction condition. (C) 2019 Elsevier Inc. All rights reserved.