Abstract
The instability of nominally laminar steady two-dimensional closed separation bubbles is investigated using direct numerical simulations and BiGlobal instability analysis. The canonical flat-plate case is studied in some detail. We demonstrate that large steady two-dimensional bubbles may become unsteady and shortened in the mean upon applying periodic forcing. Using BiGlobal instability analysis we demonstrate, for the first time, the generation of Kelvin- Helmholtz instabilities as solutions of the pertinent partial-derivative eigenvalue problem, without resorting to the simplifying assumptions on the form of the underlying basic state. Finally, we employ appropriate instability analysis to study the effect of periodic forcing as means of active control of separation on a trailing-edge geometry.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
REFERENCES
Alam, M., and Sandham, N.D. 2000. Direct simulation of short laminar separation bubbles with turbulent reattachment. J. Fluid Mech. 410:223 - 250
Allievi, A., and Berm ejo, R. 2000. A characteristic finite-element algorithm for the Navier-Stokes equations. Int. J. Numer. in Fluids., 32:439-464.
Dean, E. J., and Glowinski, R. 1993 On Some Finite Element Methods for the Numerical Simulation of Incompressible Viscous Flow, Incompressible computational fluid dynamics, Eds. M. D. Gunzburger & R. A. Nicolaides, Cambridge University Press.
González, L.M., 2003. Alternative treatment of the slip boundary condition for the integration of the Navier-Stokes equations in a turbulent context. XVIII CEDYA/ VIII
Nagarajan, S., Lele, S.K. and Ferziger, J.H. 2003. A robust high-order compact method for large eddy simulation. J. Comput. Phys. 191:392-419.
Perot, J.B. 1993 An analysis of the fractional step method. J. Comput. Phys. 108:51-58.
Simens, M. and Jiménez, J. 2004. Control of large two-dimensional laminar separation bubbles by shear-layer instabilities. Advances in Turbulence 10, ETC 10 June 29-July 2, 2004, pp. 725-728.
Theofilis, V., Hein, S. & Dallmann, U.Ch. 2000. On the origins of unsteadiness and three-dimensionality in a laminar separation bubble. Phil. Trans. R. Soc. Lond. A 358:3229-3246.
Theofilis, V., Fedorov, A., Obrist, D. & Dallmann, U.Ch. 2003. The extended Görtler-Hämmerlin model for linear instability of three-dimensional incompressible swept attachment-line boundary layer flow. J. Fluid Mech. 487:271-313.
Theofilis, V., Sherwin, S.J. and Abdessemed, N. 2004. On global instabilities of separated bubble flows and their control in external and internal aerodynamic applications. RTO AVT-111 Specialists’ meeting on “Enhancement of NATO military flight vehicle performance by management of interacting boundary layer transition and separation”, Prague, Oct. 4 – 7, 2004, Paper 21–1 – 21–9.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Simens, M., González, L., Theofilis, V., Gómez-Blanco, R. (2006). ON FUNDAMENTAL INSTABILITY MECHANISMS OF NOMINALLY 2-D SEPARATION BUBBLES. In: Govindarajan, R. (eds) IUTAM Symposium on Laminar-Turbulent Transition. Fluid Mechanics and Its Applications, vol 78. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4159-4_8
Download citation
DOI: https://doi.org/10.1007/1-4020-4159-4_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3459-6
Online ISBN: 978-1-4020-4159-4
eBook Packages: EngineeringEngineering (R0)