The lid-driven cavity is an important fluid mechanical system serving as a benchmark for
testing numerical methods and for studying fundamental aspects of incompressible flows in …

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 …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

Direct numerical simulations are performed to investigate the three-dimensional stability of
compressible flow over open cavities. A linear stability analysis is conducted to search for …

In this paper, we study the shape and dynamics of helical coherent structures found in the
flow field of an annular swirling jet undergoing vortex breakdown. The flow field is studied by …

Physics-informed neural networks (PINNs) have emerged as a new simulation paradigm for
fluid flows and are especially effective for inverse and hybrid problems. However, vanilla …

The present thesis constitutes a step forward in advancing the frontiers of knowledge of fluid
flow instability from a physical point of view, as a consequence of having been successful in …

The self-excited instabilities acting on laminar separation bubbles in the absence of external
forcing are studied by means of linear stability analysis and direct numerical simulation …

A series of time-dependent three-dimensional (3D) computations of a lid-driven flow in a
cube with no-slip boundaries is performed to find the critical Reynolds number …