This work is devoted to the numerical comparison of four active control techniques in order to increase the pressure recovery generated by the deceleration of a slightly compressible viscous flow over a dihedral plane. It is performed by the use of vortex generator jets and intrusive sensors. The governing equations, the two-dimensional direct numerical simulation code and the flow configuration are first briefly recalled. Then, the objective of the control is carefully displayed, and the uncontrolled flow described. The main part of this work deals with the explanation, the implementation and the comparison of four active control strategies: closed loop control, adaptative control, physical ramp control and sub-optimal control. Each of these techniques is of different nature, and results are very formative to understand what is important - or less - to make the control efficient.
Mots clés : active control, compressible viscous flow, subsonic evolution
@article{COCV_2001__6__443_0, author = {Creus\'e, Emmanuel}, title = {Comparison of active control techniques over a dihedral plane}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {443--466}, publisher = {EDP-Sciences}, volume = {6}, year = {2001}, mrnumber = {1836051}, zbl = {0997.93079}, language = {en}, url = {http://www.numdam.org/item/COCV_2001__6__443_0/} }
TY - JOUR AU - Creusé, Emmanuel TI - Comparison of active control techniques over a dihedral plane JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2001 SP - 443 EP - 466 VL - 6 PB - EDP-Sciences UR - http://www.numdam.org/item/COCV_2001__6__443_0/ LA - en ID - COCV_2001__6__443_0 ER -
Creusé, Emmanuel. Comparison of active control techniques over a dihedral plane. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 443-466. http://www.numdam.org/item/COCV_2001__6__443_0/
[1] On some control problems in fluid mechanics. Theoret. Comput. Fluid Dynamics 1 (1990) 303. | Zbl
and ,[2] On the “Weiss criterion” in two-dimensional turbulence. Physica D (1994) 17-34. | Zbl
and ,[3] Optimal feedback control of turbulent channel flow. Technical report annual research briefs, center for turbulence research (1993).
, , and ,[4] Optimal control of turbulent channel flow. ASMEDE 75 (1994).
and ,[5] A method for optimizing feedback control rules for wall-bounded turbulent flows based on control theory', Forum on control of transitional and turbulent flows, ASME fluids engineering conference (1996).
, and .[6] Optimal and robust approaches for linear and non linear regulation problems in fluid mechanics, in 28th AIAA fluid dynamics conference, 4th AIAA shear flow control conference (1997).
, and ,[7] Towards a transparent boundary condition for the compressible Navier-Stokes equations. Internat. J. Numer. Methods Fluids (to appear). | Zbl
and ,[8] Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255 (1993) 503-539. | Zbl
, and ,[9] Active turbulence control for drag reduction in wall bounded flow. J. Fluid Mech. 262 (1994) 75-110. | Zbl
, and ,[10] Feedback control for unsteady flow and its application to the stockastic Burgers equation. J. Fluid Mech. 253 (1993) 509-543. | MR | Zbl
, , and ,[11] Couche limite laminaire. Cepadues Editions (1988).
,[12] Simulation et contrôle actif d'écoulements compressibles, Thèse de Doctorat. Université Bordeaux I (2000).
,[13] Vortex dynamics over a dihedral plane in a transitional slightly compressible flow: A computational study. European J. Mech. B Fluids (to appear). | Zbl
and ,[14] Résolution numérique des équations de Navier-Stokes pour un fluide compressible en maillage triangulaire. Rapport de recherche INRIA 1033 (1989).
, , and ,[15] Observed mechanisms for turbulence attenuation and enhancement in opposition-controlled wall bounded flow, Technical Report. Department of Mechanical Engineering, Stanford University, California (1998).
, and ,[16] Contrôle actif des instabilités hydrodynamiques des écoulements subsoniques compressibles, Ph.D. Thesis. CERFACS, France (1996).
,[17] Adaptive control system. Prentice Hall, New-York (1992). | Zbl
, and ,[18] Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid Mech. 224 (1991) 579-599. | Zbl
, and ,[19] Active control of vortex-wall interactions. Phys. Fluids 9 (1997) 3808-3816.
,[20] Boundary layer theory. Introduction. J. Rosenhead, Oxford University Press, New-York (1963).
,[21] Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles. Dunod, Paris (1969). | MR | Zbl
,[22] Feedback control of turbulence. Appl. Mech. Rev 47 (1994).
and ,[23] The structure of vorticity fields in turbulent channel flows. Part 1: Analysis of instantaneous field and statistical correlations. J. Fluid Mech. 155 (1985).
and ,[24] Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys. 101 (1992) 104-129. | MR | Zbl
and ,[25] Control of turbulent flows, in 18th IFIP TC7 conferences on system modelling and optimisation. Detroit, Michigan (1997). | Zbl
, and ,[26] Adaptive signal processing. Prentice-Hall (1985). | Zbl
and ,