A scenario of transition to turbulence likely to occur during the development of natural
disturbances in a flat-plate boundary layer is studied. The perturbations at the leading edge …

The potential for transient growth in compressible boundary layers is studied. Transient
amplification is mathematically associated with a non-orthogonal eigenvector basis, and can …

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 …

A Fourier–Chebyshev Petrov–Galerkin spectral method is described for high-accuracy
computation of linearized dynamics for flow in an infinite circular pipe. Our code is unusual …

We study Sobolev regularity disturbances to the periodic, plane Couette flow in the 3D
incompressible Navier-Stokes equations at high Reynolds number Re. Our goal is to …

The optimal energy growth of perturbations sustained by a zero pressure gradient turbulent
boundary is computed using the eddy viscosity associated with the turbulent mean flow. It is …

The plane Couette flow, a shear flow linearly stable for all values of the Reynolds number, R,
is experimentally studied. A finite amplitude perturbation, local in both time and space, is …

Lower branch coherent states in plane Couette flow have an asymptotic structure that
consists of O (1) streaks, O (R-1) streamwise rolls and a weak sinusoidal wave that develops …

Certain laminar flows are known to be linearly stable at all Reynolds numbers, R, although
in practice they always become turbulent for sufficiently large R. Other flows typically …

The subject of blow-up in a finite time, or at least very rapid growth, of a solution to a partial
differential equation has been an area of intense re search activity in mathematics. Some …