A numerical approach for computing flows by local transformations and domain decomposition using an optimization algorithm

A fully deterministic micro–macro simulation of complex flows involving reversible network fluid models

“…Those have been reported in [11]. Moreover, in other works the predictions of the Stream-Tube method were compared with the solutions obtained with other alternative discretization techniques (see [6,13]) and even with commercial simulation codes (Polyflow and Fluent) [14]. Finally, in order to check the convergence of the coupling strategy we are considering the contraction flow and the two populations kinetic theory model defined by the set of parameters D r1 = 0.5, D r2 = 0.2 and V c = V d = 0.1.…”

“…In order to facilitate the coupling between the microscopic solver and the macroscopic one, we propose the use of the stream tube method (deeply described in [6,[10][11][12][13][14]23,24]) for solving the resulting macroscopic anisotropic Stokes problem. This technique is based on a domain transformation that maps the physical domain into a simple reference domain in which the streamlines are parallel to one of the coordinate axis.…”