Global linear instability

V Theofilis - Annual Review of Fluid Mechanics, 2011 - annualreviews.org
This article reviews linear instability analysis of flows over or through complex two-
dimensional (2D) and 3D geometries. In the three decades since it first appeared in the …

Four decades of studying global linear instability: Progress and challenges

F Gómez, SL Clainche, P Paredes, M Hermanns… - AIAA journal, 2012 - arc.aiaa.org
THERE is good reason for optimism regarding the future of global linear instability and a
certain degree of euphoria surrounding its recent success [1, 2], three decades after the first …

[PDF][PDF] Advances in global instability computations: from incompressible to hypersonic flow

P Paredes - Universidad Politécnica de Madrid: PhD Dissertation, 2014 - core.ac.uk
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 …

Order 104 speedup in global linear instability analysis using matrix formation

P Paredes, M Hermanns, S Le Clainche… - Computer Methods in …, 2013 - Elsevier
A unified solution framework is presented for one-, two-or three-dimensional complex non-
symmetric eigenvalue problems, respectively governing linear modal instability of …

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 …

On three-dimensional global linear instability analysis of flows with standard aerodynamics codes

F Gomez, R Gómez, V Theofilis - Aerospace Science and Technology, 2014 - Elsevier
The development of a general Jacobian-free approach for the solution of large-scale global
linear instability analysis eigenvalue problems by coupling a time-stepping algorithm with …

Global linear stability analysis of jets in cross-flow

MA Regan, K Mahesh - Journal of Fluid Mechanics, 2017 - cambridge.org
The stability of low-speed jets in cross-flow (JICF) is studied using tri-global linear stability
analysis (GLSA). Simulations are performed at a Reynolds number of 2000, based on the jet …

[HTML][HTML] Instability and sensitivity analysis of flows using OpenFOAM®

Q Liu, F Gómez, JM Perez, V Theofilis - Chinese Journal of Aeronautics, 2016 - Elsevier
The present contributions deal with the development and implementation of the direct and
adjoint incompressible Navier–Stokes equations in a matrix-free time-stepping context …

[图书][B] Numerical Simulation of Incompressible Viscous Flow: Methods and Applications

R Glowinski, TW Pan - 2022 - books.google.com
This book on finite element-based computational methods for solving incompressible
viscous fluid flow problems shows readers how to apply operator splitting techniques to …

The linearized pressure Poisson equation for global instability analysis of incompressible flows

V Theofilis - Theoretical and Computational Fluid Dynamics, 2017 - Springer
The linearized pressure Poisson equation (LPPE) is used in two and three spatial
dimensions in the respective matrix-forming solution of the BiGlobal and TriGlobal …