0
TECHNICAL PAPERS

Control and Identification of Vortex Wakes

[+] Author and Article Information
C. R. Anderson

Department of Mathematics, University of California, Los Angeles, Los Angeles, CA 90095-1597e-mail: anderson@math.ucla.edu

Y.-C. Chen, J. S. Gibson

Mechanical and Aerospace Engineering, University of California, Los Angeles, Los Angeles, CA 90095-1597

J. Dyn. Sys., Meas., Control 122(2), 298-305 (Apr 08, 1998) (8 pages) doi:10.1115/1.482455 History: Received April 08, 1998
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Bushnell,  D. M., 1992, “Longitudinal Vortex Control—Techniques and Applications,” The 32nd Lanchester Lecture, Aeronaut. J., 96, pp. 293–312.
Gad-el-Hak,  M., and Bushnell,  D. M., 1991, “Separation Control: Review,” ASME J. Fluids Eng., 113, pp. 5–30.
Gunzburger, M. D., 1995, Flow Control, Springer-Verlag, New York.
Saffman,  P. G., and Sheffield,  J. S., 1977, “Flow Over a Wing with an Attached Free Vortex,” Stud. Appl. Math., 57, pp. 107–117.
Anderson, C. R., Chang, H.-L., and Gibson, J. S., 1993, “Adaptive Control of Vortex Dynamics,” 32nd Control and Decision Conference, IEEE, Dec.
Chang, H.-L., 1994, “Control of Vortex Dynamics,” Ph.D. thesis, University of California, Los Angeles.
Cortelezzi, L., 1993, “A Theoretical and Computational Study on Active Wake Control,” Ph.D. thesis, California Institute of Technology.
Cortelezzi,  L., 1996, “Nonlinear Feedback Control of the Wake Past a Plate with a Suction Point on the Downstream Wall,” J. Fluid Mech., 327, pp. 303–324
Sarpkaya,  T., 1975, “An Inviscid Model of Two-Dimensional Vortex Shedding for Transient and Asymptotically Steady Separated Flow over an Inclined Plate.” J. Fluid Mech., 68, pp. 109–128.
Cortelezzi,  L., Chen,  Y.-C., and Chang,  H.-L., 1997, “Nonlinear Feedback Control of the Wake Past a Plate: From a Low-order Model to a Higher-order Model,” Phys. Fluids A, 9, No. 7, pp. 2009–2022.
Batchelor, G. K., 1997, An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, UK.
Chein,  R., and Chung,  J. N., 1988, “Discrete Vortex Simulation of Flow Over Inclined and Normal Plates,” Comput. Fluids, 16, pp. 405–427.
Sarpkaya,  T., and Schoaff,  R. L., 1979, “Inviscid Model of Two Dimensional Vortex Shedding by a Circular Cylinder,” AIAA J., 17, No. 11, pp. 1193–1200.
Chen, Y.-C., 1997, “Control and Identification of the Flow Past a Flat Plate with Discrete Vortex Simulations,” Ph.D. thesis, University of California, Los Angeles.
Chorin,  A. J., 1973, “Numerical Study of Slightly Viscous Flows,” J. Fluid Mech., 57, pp. 785–796.
Chorin,  A. J., and Bernard,  P. S., 1973, “Discretization of a Vortex Sheet with a Example of Roll-Up,” J. Comput. Phys., 13, pp. 423–429.
Franklin, G. F., Powell, J. D., and Emami-Naeini, A., 1994, Feedback Control of Dynamic Systems, Addison Wesley.
Nise, N. S., 1992, Control Systems Engineering, The Benjamin/Cummings Publishing.
Kuo, B. C., 1987, Automatic Control Systems, Prentice-Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
The mapping between physical (Z-plane) and mapped plane (ζ-plane) for the flow past a flat plate
Grahic Jump Location
Instantaneous streamlines for the flow past a flat plate
Grahic Jump Location
Flowchart for discrete vortex scheme with variable step size
Grahic Jump Location
Comparison between unfiltered velocity measurement (dashed line) and the modified velocity measurement (solid line) on the downstream wall
Grahic Jump Location
Instantaneous streamlines for flow past a flat plate; (a) uncontrolled case, (b) controlled case
Grahic Jump Location
The simulation result of the linear PI controller with the modified velocity measurement on the downstream wall as measurement
Grahic Jump Location
The position and numbering of the measurement points in Z-plane. (The dashed line shows the locus of the intersection points discussed in Section 7.2.)
Grahic Jump Location
The relationship between input u=S−S0, and output y=vvtx(S)−〈vvtx(S0)〉
Grahic Jump Location
Fit-to-data criterion J for model orders n=3,[[ellipsis]],30 at points 6 and 10: (a) point number 6, (b) point number 10
Grahic Jump Location
Bode plots for the vortex simulation (* ) and the identified ARX model of order 5 (solid lines); point number 10
Grahic Jump Location
Mean velocity measurement on the downstream side of the plate
Grahic Jump Location
The relationships between the DC gains of the vortex simulation and the identified ARX model (r=3). Curve A: DC gains of ARX model; curve B: ratio in (13) from vortex simulation with S0=−1.0,S=−1.5; curve C: ratio in (13) from vortex simulation with S0=−1.5,S=−2.0.
Grahic Jump Location
Comparison between the step responses of the vortex simulation (a)–(c) and the identified (d)–(f ) ARX models (r=3)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In