Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has
served as a primary prototype for investigating the transition to turbulence in wall-bounded …

This review discusses a recently developed optimization technique for analyzing the
nonlinear stability of a flow state. It is based on a nonlinear extension of nonmodal analysis …

The route to turbulence in pipe flow is a complex, nonlinear, spatiotemporal process for
which an increasingly clear understanding has emerged in recent years. This paper …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

This review article addresses the dynamics and control of low-frequency unsteadiness, as
observed in some aerodynamic applications. It presents a coherent and rigorous linearized …

We provide an overview of current techniques and typical applications of numerical
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …

A new theory of coherent structure in wall turbulence is presented. The theory is the first to
predict packets of hairpin vortices and other structure in turbulence, and their dynamics …

With a sufficiently large impulse, a thermoacoustic system can reach self-sustained
oscillations even when it is linearly stable, a process known as triggering. In this paper, a …

Addition of a small amount of very large polymer molecules or micelle-forming surfactants to
a liquid can dramatically reduce the energy dissipation it exhibits in the turbulent flow …

Although the equations governing fluid flow are well known, there are no analytical
expressions that describe the complexity of turbulent motion. A recent proposition is that in …