Modal analysis of fluid flows: An overview

K Taira, SL Brunton, STM Dawson, CW Rowley… - AIAA journal, 2017 - arc.aiaa.org
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 …

Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis

A Towne, OT Schmidt, T Colonius - Journal of Fluid Mechanics, 2018 - cambridge.org
We consider the frequency domain form of proper orthogonal decomposition (POD), called
spectral proper orthogonal decomposition (SPOD). Spectral POD is derived from a space …

The engine behind (wall) turbulence: perspectives on scale interactions

BJ McKeon - Journal of Fluid Mechanics, 2017 - cambridge.org
Known structures and self-sustaining mechanisms of wall turbulence are reviewed and
explored in the context of the scale interactions implied by the nonlinear advective term in …

Resolvent-analysis-based design of airfoil separation control

CA Yeh, K Taira - Journal of Fluid Mechanics, 2019 - cambridge.org
We use resolvent analysis to design active control techniques for separated flows over a
NACA 0012 airfoil. Spanwise-periodic flows over the airfoil at a chord-based Reynolds …

Data-driven resolvent analysis

B Herrmann, PJ Baddoo, R Semaan… - Journal of Fluid …, 2021 - cambridge.org
Resolvent analysis identifies the most responsive forcings and most receptive states of a
dynamical system, in an input–output sense, based on its governing equations. Interest in …

Resolvent-based estimation of space–time flow statistics

A Towne, A Lozano-Durán, X Yang - Journal of Fluid Mechanics, 2020 - cambridge.org
We develop a method to estimate space–time flow statistics from a limited set of known data.
While previous work has focused on modelling spatial or temporal statistics independently …

An invitation to resolvent analysis

LV Rolandi, JHM Ribeiro, CA Yeh, K Taira - … and Computational Fluid …, 2024 - Springer
Resolvent analysis is a powerful tool that can reveal the linear amplification mechanisms
between the forcing inputs and the response outputs about a base flow. These mechanisms …

Low-order model for successive bifurcations of the fluidic pinball

N Deng, BR Noack, M Morzyński… - Journal of fluid …, 2020 - cambridge.org
We propose the first least-order Galerkin model of an incompressible flow undergoing two
successive supercritical bifurcations of Hopf and pitchfork type. A key enabler is a mean-field …

Non-normality and classification of amplification mechanisms in stability and resolvent analysis

S Symon, K Rosenberg, STM Dawson, BJ McKeon - Physical Review Fluids, 2018 - APS
Eigenspectra and pseudospectra of the mean-linearized Navier-Stokes operator are used to
characterize amplification mechanisms in laminar and turbulent flows in which linear …

Triglobal resolvent analysis of swept-wing wakes

JHM Ribeiro, CA Yeh, K Taira - Journal of Fluid Mechanics, 2023 - cambridge.org
Through triglobal resolvent analysis, we reveal the effects of wing tip and sweep angle on
laminar separated wakes over swept wings. For the present study, we consider wings with …