Four Decades of Studying Global Linear Instability: Progress and Challenges

Keywords

Jacobian matrix and determinant, Dynamic mode decomposition, Eigenvalues and eigenvectors, Instability, Applied mathematics

References

• Global stability of a jet in crossflowShervin Bagheri, Philipp Schlatter, PETER J. SCHMID — 2009
• Turbulence, Coherent Structures, Dynamical Systems and SymmetryBernd R. Noack — 2013
• Turbulence and the dynamics of coherent structures. I. Coherent structuresLawrence Sirovich — 1987
• On the birth of stall cells on airfoilsDaniel Rodríguez, Vassilios Theofilis — 2011
• Steady solutions of the Navier-Stokes equations by selective frequency dampingEspen Åkervik, Luca Brandt, Dan S. Henningson — 2006
• Advances in global linear instability analysis of nonparallel and three-dimensional flowsVassilios Theofilis — 2003
• Differential eigenvalue problems in which the parameter appears nonlinearlyThomas J. Bridges, Philip J. Morris — 1984
• Computational aspects of the spectral Galerkin FEM for the Orr-Sommerfeld equationNina Kirchner — 2000
• Hamiltonian Systems and Transformation in Hilbert Space.B. O. Koopman — 1931
• Order 104 speedup in global linear instability analysis using matrix formationPedro Paredes, Miguel Hermanns, Soledad Le Clainche — 2013
• Massively Parallel Solution of the BiGlobal Eigenvalue Problem Using Dense Linear AlgebraDaniel Rodríguez, Vassilios Theofilis — 2009
• Computer-aided analysis of the convergence to steady state of discrete approximations to the euler equationsL.E.Göran Eriksson, Arthur Rizzi — 1985
• Dynamical system approach to instability of flow past a circular cylinderTapan K. Sengupta, Neelu Singh, Vajjala K. Suman — 2010
• Globally unstable basic flows in open cavities.Vassilios Theofilis — 2000
• Identification and Analysis of Nonlinear Transition Scenarios using NOLOT/PSEStefan Hein, Andreas Stolte, U. Dallmann — 1999
• Dynamic mode decomposition of numerical and experimental dataPeter J. Schmid — 2008
• Spatiotemporal analysis of complex signals: Theory and applicationsNadine Aubry, R�gis Guyonnet, R. Lima — 1991
• Predicting the onset of flow unsteadiness based on global instabilityJ. D. Crouch, A V Garbaruk, D. Magidov — 2007
• Dispersion-relation-preserving finite difference schemes for computational acousticsChristopher K. W. Tam, Jay C. Webb — 1993
• Global stability of swept flow around a parabolic body: connecting attachment-line and crossflow modesCHRISTOPH J. MACK, Peter J. Schmid, Jörn Sesterhenn — 2008

Cited by

• Accurate Parabolic Navier-Stokes solutions of the supersonic flow around an elliptic conePedro Paredes, Vassilios Theofilis, Daniel Rodríguez — 2013
• Derivation of and Simulations with BiGlobal Stability EquationsKoen J. Groot — 2013
• Linear Instability Analysis of Incompressible Flow Over A Cuboid CavityQ. Liu, Francisco Gómez, Vassilios Theofilis — 2015
• Global stability analysis of three-dimensional boundary layer flowsMattias Brynjell‐Rahkola — 2015
• Centerline instabilities on the hypersonic international flight research experimentation HIFiRE-5 elliptic cone modelPedro Paredes, Vassilios Theofilis — 2015
• Flow around a hemisphere-cylinder at high angle of attack and low Reynolds number. Part II: POD and DMD applied to reduced domainsSoledad Le Clainche, Daniel Rodríguez, Vassilios Theofilis — 2015
• Flow control design inspired by linear stability analysisSimone Camarri — 2015
• On vortex filament methods for linear instability analysis of aircraft wakesJuan Ángel Tendero, Vassilios Theofilis, Miquel Roura — 2015
• Flow around a hemisphere-cylinder at high angle of attack and low Reynolds number. Part I: Experimental and numerical investigationSoledad Le Clainche, Jingyun I. Li, Vassilios Theofilis — 2015
• On three-dimensional global linear instability analysis of flows with standard aerodynamics codesFrancisco Gómez, Raquel Gomez, Vassilios Theofilis — 2014
• Spatial Stability Analysis of Subsonic Jets Modified for Low-Frequency Noise ReductionAli Uzun, Farrukh Alvi, Tim Colonius — 2015
• Review and Perspective in MechanicsN. Aksel, H. Irschik, Alfredo Soldati — 2015
• On linear instability mechanisms in incompressible open cavity flowFernando Meseguer-Garrido, Javier de Vicente, Eusebio Valero — 2014
• Assessment of global linear stability analysis using a time‐stepping approach for compressible flowsYuya Ohmichi, Kojiro Suzuki — 2016
• A dynamic mode decomposition of the saturation process in the open cavity flowNuno Vinha, Fernando Meseguer-Garrido, Javier de Vicente — 2016
• Instability and sensitivity analysis of flows using OpenFOAMQiong Liu, Francisco Gómez, Jose Perez — 2016
• High-frequency instabilities along the windward face of a hypersonic yawed circular conePedro Paredes, Vassilios Theofilis, Helen L. Reed — 2014
• Traveling global instabilities on the HIFiRE-5 elliptic cone model flowPedro Paredes, Vassilios Theofilis — 2014
• Stability analysis of the flow around a cylinder fitted with helical strakesFrancisco Gómez, José Hermida Quesada, Gómez Raquel — 2013
• Global stability analysis on cone models under the conditions of the HIEST experimentsYuji Matsuse, Masaru Saijo, Tomoaki Ishihara — 2016

Related papers

• Floquet-Drude conductivityMartin Wackerl, Paul Wenk, John Schliemann — 2019
• Square-root Floquet topological phases and time crystalsRaditya Weda Bomantara — 2021
• Floquet Edge Solitons in Modulated Trimer Waveguide ArraysShuang Shen, Yaroslav V. Kartashov, Yongdong Li — 2023
• Observation of topological Floquet states interferenceChengrui Ji, Shaodong Zhou, An Xie — 2023
• Numerical modeling of two dimensional non-capacity model for sediment transport by an unstructured finite volume method with a new discretization of the source termSanae Jelti, Mohammed Boulerhcha — 2022
• New numerical methods for shallow water flowsAbdelaziz Beljadid — 2015
• Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshesM.J. Castro Dı ́az, Enrique D. Fernández-Nieto, A. Ferreiro — 2009