In this paper, we explore the stability and dynamical relevance of a wide variety steady, time-periodic, quasiperiodic, chaotic flows arising between orthogonally stretching parallel plates. We first all steady flow solution families formerly identified by Ayats et al. [“Flows plates,” Phys. Fluids 33, 024103 (2021)], concluding that only one originates from Stokesian approximation is actually ...

A series of benchmarks based on the physical situation “phase inversion” between two immiscible liquids is presented. These aim at progressing towards direct numerical simulation two-phase flows. Several CFD codes developed in French laboratories and using either Volume-of-Fluid or Level-Set interface tracking methods are used to provide solutions benchmarks, convergence studies code comparison...

The dynamics of a three-phase gas–liquid–liquid multiphase system is examined by direct numerical simulations. consists continuous liquid phase, buoyant gas bubbles, and smaller heavy drops that fall relative to the liquid. computational domain fully periodic, force equal weight mixture added keep it in place. governing parameters are selected so terminal Reynolds numbers bubbles moderate; whil...

The theory of hyperbolic conservation laws has been successfully applied to the study of vehicular traffic flows. We present here some models showing phase transitions, that in terms of traffic flows correspond to two distinct behaviors, free or congested.