The lid-driven cavity

HC Kuhlmann, F Romanò - … Modelling of Bifurcations and Instabilities in …, 2019 - Springer
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 …

Biglobal instabilities of compressible open-cavity flows

Y Sun, K Taira, LN Cattafesta III… - Journal of Fluid …, 2017 - cambridge.org
The stability characteristics of compressible spanwise-periodic open-cavity flows are
investigated with direct numerical simulation (DNS) and biglobal stability analysis for …

A robust approach for stability analysis of complex flows using high-order Navier-Stokes solvers

R Ranjan, S Unnikrishnan, D Gaitonde - Journal of Computational Physics, 2020 - Elsevier
Global stability modes of flows provide significant insight into their dynamics. Direct methods
to obtain these modes are restricted by the daunting sizes and complexity of Jacobians …

The effect of incoming boundary layer thickness and Mach number on linear and nonlinear Rossiter modes in open cavity flows

MS Mathias, MAF Medeiros - Theoretical and Computational Fluid …, 2021 - Springer
The Rossiter modes of an open cavity were studied using bi-global linear analysis, local
instability analysis and nonlinear numerical simulations. Rossiter modes are normally seen …

Lagrangian approach for modal analysis of fluid flows

VJ Shinde, DV Gaitonde - Journal of Fluid Mechanics, 2021 - cambridge.org
Common modal decomposition techniques for flow-field analysis, data-driven modelling and
flow control, such as proper orthogonal decomposition and dynamic mode decomposition …

Resolvent analysis of compressible laminar and turbulent cavity flows

Y Sun, Q Liu, LN Cattafesta III, LS Ukeiley, K Taira - AIAA journal, 2020 - arc.aiaa.org
The present work demonstrates the use of a resolvent analysis to obtain physical insights for
open-cavity flows. A resolvent analysis identifies the flow response to harmonic forcing …

Analyses of Reynolds and Mach number effects on Tollmien–Schlichting wave–bump interaction in subsonic flows

FHT Himeno, AEB Carvalho… - Journal of Fluid …, 2024 - cambridge.org
We investigated the effects of two-dimensional sharp-edged rectangular bumps on Tollmien–
Schlichting (TS) wave evolution using direct numerical simulation. The bump height …

[HTML][HTML] Global and local modal characteristics of supersonic open cavity flows

PS Doshi, R Ranjan, DV Gaitonde - Physics of Fluids, 2022 - pubs.aip.org
Flows past cavities at high-speeds have become increasingly important in applications such
as flame-holding and propulsion unstart control. Recently maturated linear techniques have …

Lattice Boltzmann methods for global linear instability analysis

JM Pérez, A Aguilar, V Theofilis - Theoretical and Computational Fluid …, 2017 - Springer
Modal global linear instability analysis is performed using, for the first time ever, the lattice
Boltzmann method (LBM) to analyze incompressible flows with two and three …

Optimal computational parameters for maximum accuracy and minimum cost of Arnoldi-based time-stepping methods for flow global stability analysis

MS Mathias, MAF de Medeiros - Theoretical and Computational Fluid …, 2022 - Springer
Global instability analysis of flows is often performed via time-stepping methods, based on
the Arnoldi algorithm. When setting up these methods, several computational parameters …