This article contains a review of modal stability theory. It covers local stability analysis of
parallel flows including temporal stability, spatial stability, phase velocity, group velocity …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

Streak breakdown caused by a spanwise inflectional instability is one phase of the following
transition scenarios, which occur in plane Poiseuille and Couette flow. The streamwise …

The linear, nonlinear and breakdown stages in the transition of localized disturbances in
plane Poiseuille flow is studied by direct numerical simulations and analysis of the …

To eliminate the problem with artificial boundary conditions and facilitate the use of Fourier
methods, the fringe region (or filter, damping layer, absorbing layer, sponge layer) technique …

The paper describes the energy fluxes simultaneously occurring in the space of scales and
in the physical space of wall-turbulent flows. The unexpected behaviour of the energy fluxes …

Linear eigenvalue calculations and spatial direct numerical simulations (DNS) of
disturbance growth in Falkner–Skan–Cooke (FSC) boundary layers have been performed …

Real turbulent flows are difficult to classify as either spatially homogeneous or isotropic.
Nonetheless these idealizations allow the identification of certain universal features …

Fully developed rotating turbulent channel flow has been studied, through direct numerical
simulations, for the complete range of rotation numbers for which the flow is turbulent. The …

In applications involving the model-based control of transitional wall-bounded flow systems,
it is often desired to estimate the interior flow state based on a history of noisy …