SIMPLE aerodynamic configurations under even modest conditions can exhibit complex
flows with a wide range of temporal and spatial features. It has become common practice in …

Recent remarkable progress in computing power and numerical analysis is enabling us to
fill a gap in the dynamical systems approach to turbulence. A significant advance in this …

We present and discuss a framework for computer-aided multiscale analysis, which enables
models at a fine (microscopic/stochastic) level of description to perform modeling tasks at a …

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 straight tube with a smooth axisymmetric constriction is an idealized representation of a
stenosed artery. We examine the three-dimensional instabilities and transition to turbulence …

Evolutionary, pattern forming partial differential equations (PDEs) are often derived as
limiting descriptions of microscopic, kinetic theory-based models of molecular processes …

Methods are described for transient growth analysis of flows with arbitrary geometric
complexity, where in particular the flow is not required to vary slowly in the streamwise …

A framework is presented for the spectral-element code Nek5000, which has been, and still
is, widely used in the computational fluid dynamics (CFD) community to perform high-fidelity …

Transient energy growths of two-and three-dimensional optimal linear perturbations to two-
dimensional flow in a rectangular backward-facing-step geometry with expansion ratio two …