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 …

The climate is a forced, dissipative, nonlinear, complex, and heterogeneous system that is
out of thermodynamic equilibrium. The system exhibits natural variability on many scales of …

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 …

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 …

Motivated by recent experimental and numerical studies of coherent structures in wall-
bounded shear flows, we initiate a systematic exploration of the hierarchy of unstable …

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 …

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

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 …

In his landmark paper of 1883, Reynolds addressed the question of why the fluid motion
along a pipe changes from a laminar to a turbulent state at modest flow rates. His …

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 …