Vertical thermal convection is a non-equilibrium system in which both buoyancy and shear
forces play a role in driving the convective flow. Beyond the onset of convection, the driven …

Invariant solutions of the Navier–Stokes equations play an important role in the
spatiotemporally chaotic dynamics of turbulent shear flows. Despite the significance of these …

In a vertical channel driven by an imposed horizontal temperature gradient, numerical
simulations (Gao et al., Phys. Rev. E, vol. 88, 2013, 023010; Phys. Rev. E, vol. 91, 2015 …

Thermal convection in an inclined layer between two parallel walls kept at different fixed
temperatures is studied for fixed Prandtl number. Depending on the angle of inclination and …

An extended dynamical system is considered that shows some striking, very complex spatio-
temporal patterns. Specifically, we consider superhighway patterns that appear in binary …

One approach for describing spatiotemporal chaos is to study the unstable invariant sets
embedded in the chaotic attractor of the system. While equilibria, periodic orbits, and …

Symmetry-breaking bifurcations, where a flow state with a certain symmetry undergoes a
transition to a state with a different symmetry, are ubiquitous in fluid mechanics. Much can be …

Considering channel flow at Reynolds numbers below the linear stability threshold of the
laminar profile as a generic example system showing a subcritical transition to turbulence …

This study computationally investigates the time-dependent patterns emerging in the Soret
regime for binary fluid convection in slightly inclined cylinders heated from below, with a …

A parametric instability of an incompressible, viscous, and Boussinesq fluid layer bounded
between two parallel planes is investigated numerically. The layer is assumed to be inclined …