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Milan Milovanovic, Marek Gayer, Joris Michielsen and Ole Morten Aamo

Model-based Stabilization of Vortex Shedding with CFD Verification. Milan Milovanovic, Marek Gayer, Joris Michielsen and Ole Morten Aamo. 48th IEEE Conference on Decision and Control, CDC 2009, Shanghai, China. Von Kármán vortex street:.

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Milan Milovanovic, Marek Gayer, Joris Michielsen and Ole Morten Aamo

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  1. Model-based Stabilization of Vortex Shedding with CFD Verification Milan Milovanovic, Marek Gayer, Joris Michielsen and Ole Morten Aamo 48th IEEE Conference on Decision and Control, CDC 2009, Shanghai, China

  2. Von Kármán vortex street:

  3. for , with boundary conditions and A complex Ginzburg-Landau equation:

  4. A complex Ginzburg-Landau equation becomes: for with boundary conditions: With the control input:

  5. to transform sistem into: for with boundary conditions: Looking for:

  6. The pair of kernels and satisfy the PDEs: for with boundary conditions: where

  7. Simulation setup

  8. Measurement curves: Suction/blowing actuation slots:

  9. GL parameters:

  10. The residue between real CFD data and GL simulations:

  11. Controller kernels:

  12. The state feedback controller:

  13. Transverse velocity:

  14. The control input:

  15. Stabilization of fully developed vortex shedding at Re=60:

  16. Conclusion: • Vortex shedding is successfully removed by the control at Reynolds number Re=60. • The link is established between controllers previously designed for the Ginzburg-Landau model of vortex shedding and the actual flow dynamics. Additional effort: • Ongoing work: trying for Re>60 • Future work: involve CFD verification of the output feedback problem, which was solved for the GL equation in [Aamo2007]

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