Experiments and numerical simulations have shown that turbulence in transitional wall-
bounded shear flows frequently takes the form of long oblique bands if the domains are …

We revisit the issue of finding proper boundary conditions for the field equations describing
incompressible flow problems, for quantities like pressure or vorticity, which often do not …

The laminar–turbulent boundary Σ is the set separating initial conditions which relaminarize
uneventfully from those which become turbulent. Phase space trajectories on this …

The onset of convection in a uniformly rotating vertical cylinder of height h and radius d
heated from below is studied. For non-zero azimuthal wavenumber the instability is a Hopf …

The onset of shear flow turbulence is characterized by turbulent patches bounded by
regions of laminar flow. At low Reynolds numbers localized turbulence relaminarizes …

The statistics of the relaminarization of localized turbulence in a pipe are examined by direct
numerical simulation. As in recent experimental data [J. Peixinho and T. Mullin, Phys. Rev …

Fully three-dimensional computations of flow through a long pipe demand a huge number of
degrees of freedom, making it very expensive to explore parameter space and difficult to …

An efficient and accurate numerical scheme is proposed to solve the incompressible Navier–
Stokes equations in a bounded cylinder. The scheme is based on a projection method …

A dynamical system description of the transition process in shear flows with no linear
instability starts with knowledge of exact coherent solutions, among them traveling waves …

A numerical study of bifurcations and stability of the steady convective flow of air in a cubical
enclosure heated from below was carried out using a Galerkin spectral method. The set of …