Abstract
This special issue is the second on the topic of “Global Flow Instability and Control,” following the first in 2011. As with the previous special issue, the participants of the last two symposia on Global Flow Instability and Control, held in Crete, Greece, were invited to submit publications. These papers were peer reviewed according to the standards of the journal, and this issue represents a snapshot of the progress since 2011. In this preface, a sampling of important developments in the field since the first issue is discussed. A synopsis of the papers in this issue is given in that context.
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References
Abdessemed, N., Sharma, A.S., Sherwin, S.J., Theofilis, V.: Transient growth analysis of the flow past a circular cylinder. Phys. Fluids 21, 044103 (2009)
Åkervik, E., Brandt, L., Henningson, D.S., Hoepffner, J., Marxen, O., Schlatter, P.: Steady solutions of the Navier–Stokes equations by selective frequency damping. Phys. Fluids 18(6), 068102 (2006)
Barkley, D.: Linear analysis of the cylinder wake mean flow. Europhys. Lett. 75(5), 750–756 (2006). doi:10.1209/epl/i2006-10168-7
Beneddine, S., Sipp, D., Arnault, A., Dandois, J., Lesshafft, L.: Conditions for validity of mean flow stabilityanalysis. J. Fluid Mech. 798, 485–504 (2016). doi:10.1017/jfm.2016.331
Blackburn, H.M., Sherwin, S.J., Barkley, D.: Convective instability and transient growth in steady and pulsatile stenotic flows. J. Fluid Mech. (2008). doi:10.1017/s0022112008001717
Dalla Longa, L., Morgans, A.S., Dahan, J.A.: Reducing the pressure drag of a D-shaped bluff body using linear feedback control. Theor. Comput. Fluid Dyn. (2017). doi:10.1007/s00162-017-0420-6
Davies, C., Thomas, C.: Global stability behaviour for the BEK family of rotating boundary layers. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0406-9
de Teixeira, R.S., de Alves, L.S.B.: Minimal gain marching schemes: searching for unstable steady-states with unsteady solvers. Theor. Comput. Fluid Dyn. (2017). doi:10.1007/s00162-017-0426-0
Fabre, D., Tchoufag, J., Citro, V., Giannetti, F., Luchini, P.: The flow past a freely rotating sphere. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0405-x
Gelfgat, A.Y.: Time-dependent modeling of oscillatory instability of three-dimensional natural convection of air in a laterally heated cubic box. Theor. Comput. Fluid Dyn. 31(4), 447–469 (2017)
Gómez, F., Blackburn, H.M., Rudman, M., Sharma, A.S., McKeon, B.J.: A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator. J. Fluid Mech. (2016). doi:10.1017/jfm.2016.339
He, W., Gioria, R.S., Pérez, J.M., Theofilis, V.: Linear instability of flow reynolds number in massively separated massively flow around three naca airfoils. J. Fluid Mech. 811, 801–841 (2017)
He, W., Tendero, J.A., Paredes, P., Theofilis, V.: Linear instability in the wake of an elliptic wing. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0400-2
Kaiser, E., Noack, B.R., Spohn, A., Cattafesta, L.N., Morzyński, M.: Cluster-based control of a separating flow over a smoothly contoured ramp. Theor. Comput. Fluid Dyn. (2017). doi:10.1007/s00162-016-0419-4
Luchini, P., Bottaro, A.: Adjoint equations in stability analysis. Ann. Rev. Fluid Mech. 46(1), 493–517 (2014). doi:10.1146/annurev-fluid-010313-141253
Luchini, P., Giannetti, F., Citro, V.: Error sensitivity to refinement: a criterion for optimal grid adaptation. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0413-x
Malkus, W.V.R.: Outline of a theory of turbulent shear flow. J. Fluid Mech. 1(05), 521 (1956). doi:10.1017/s0022112056000342
Mantič-Lugo, V., Arratia, C., Gallaire, F.: Self-consistent mean flow description of the nonlinear saturation of the vortex shedding in the cylinder wake. Phys. Rev. Lett. (2014). doi:10.1103/physrevlett.113.084501
Mao, X., Sherwin, S.J., Blackburn, H.M.: Optimal inflow boundary condition perturbations in steady stenotic flow. J. Fluid Mech. 705, 306–321 (2012)
Martiín, J.A., Paredes, P.: Three-dimensional instability analysis of boundary layers perturbed by streamwise vortices. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0403-z
McKeon, B.J., Sharma, A.S.: A critical-layer framework for turbulent pipe flow. J. Fluid Mech. 658, 336–382 (2010). doi:10.1017/s002211201000176x
Mezić, I.: Analysis of fluid flows via spectral properties of the Koopman operator. Ann. Rev. Fluid Mech. 45(1), 357–378 (2013). doi:10.1146/annurev-fluid-011212-140652
Mittal, S.: Global linear stability analysis of time-averaged flows. Int. J. Numer. Methods Fluids 58(1), 111–118 (2008). doi:10.1002/fld.1714
Pérez, J.M., Aguilar, A., Theofilis, V.: Lattice Boltzmann methods for global linear instability analysis. Theor. Comput. Fluid Dyn. (2017). doi:10.1007/s00162-016-0416-7
Saglietti, C., Schlatter, P., Monokrousos, A., Henningson, D.S.: Adjoint optimization of natural convection problems: differentially heated cavity. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0398-5
Sharma, A., Abdessemed, N., Sherwin, S.J., Theofilis, V.: Transient growth mechanisms of low reynolds number flow over a low-pressure turbine blade. Theor. Comput. Fluid Dyn. 25, 19–30 (2011)
Sharma, A., Sherwin, S., Abdessemed, N., Limebeer, D.: Global modes of flows in complex geometries. In: Third Symposium on Global Flow Instability and Control, Crete (2005)
Sharma, A.S., Abdessemed, N., Sherwin, S., Theofilis, V.: Optimal growth of linear perturbations in low pressure turbine flows. In: IUTAM Bookseries pp. 339–343 (2008). doi:10.1007/978-1-4020-6858-4_39
Sharma, A.S., Mezić, I., McKeon, B.J.: Correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations. Phys. Rev. Fluids (2016). doi:10.1103/physrevfluids.1.032402
Sipp, D., Lebedev, A.: Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows. J. Fluid Mech. (2007). doi:10.1017/s0022112007008907
Sun, Y., Taira, K., Cattafesta III, L.N., Ukeiley, L.S.: Spanwise effects on instabilities of compressible flow over a long rectangular cavity. Theor. Comput. Fluid Dyn. (2016). doi:10.1007/s00162-016-0412-y
Theofilis, V.: The linearized pressure Poisson equation for global instability analysis of incompressible flows. Theor. Comput. Fluid Dyn. (2017). doi:10.1007/s00162-017-0435-z
Towne, A., Schmidt, O.T., Colonius, T.: Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis. ArXiv e-prints (2017)
Turton, S.E., Tuckerman, L.S., Barkley, D.: Prediction of frequencies in thermosolutal convection from mean flows. Phys. Rev. E (2015). doi:10.1103/physreve.91.043009
Zare, A., Jovanović, M.R., Georgiou, T.T.: Colour of turbulence. J. Fluid Mech. 812, 636–680 (2017). doi:10.1017/jfm.2016.682
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V. Theofilis Visiting address: Theoretical and Applied Mechanics Laboratory, Department of Mechanical Engineering, Universidade Federal Fluminense, Rua Passo da Patria 156, Niterói, RJ 24210-240, Brazil.
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Sharma, A., Theofilis, V. & Colonius, T. Special issue on global flow instability and control. Theor. Comput. Fluid Dyn. 31, 471–474 (2017). https://doi.org/10.1007/s00162-017-0444-y
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DOI: https://doi.org/10.1007/s00162-017-0444-y