### Abstract

We are developing methods to predict the dynamics of the flow field above a NACA-4412 airfoil using real-time measurements of the pressure from the surface of the airfoil only. Through Proper Orthogonal Decomposition (POD) and modified Linear Stochastic Measurement (mLSM) low-dimensional techniques (Lumley (1967), Adrian (1975), Taylor & Glauser (2004)) these pressure measurements are coupled to Particle Image Velocimetry (PIV) data of the flow to estimate the time dependent coefficients describing the flow. Based on a least-squares technique applied to the POD spatial modes, we obtain a system of ODEs that are solved to get the time-evolution of the POD coefficients, whereby an estimate of the evolution equation of the flow is obtained. This low-dimensional estimated plant will be used to explore different Proportional, Integral & Derivative (PID) control parameters and will enable us to implement a controller of the flow state above the airfoil using leading-edge zero net-mass flow actuators while pitching the airfoil.

Original language | English (US) |
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Title of host publication | 4th International Symposium on Turbulence and Shear Flow Phenomena |

Pages | 105-109 |

Number of pages | 5 |

Volume | 1 |

State | Published - 2005 |

Event | 4th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 4 - Williamsburg, VA, United States Duration: Jun 27 2005 → Jun 29 2005 |

### Other

Other | 4th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 4 |
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Country | United States |

City | Williamsburg, VA |

Period | 6/27/05 → 6/29/05 |

### Fingerprint

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes

### Cite this

*4th International Symposium on Turbulence and Shear Flow Phenomena*(Vol. 1, pp. 105-109)

**Closed-loop feedback control of the turbulent flow over a NACA-4412 airfoil.** / Ausseur, Julie M.; Pinier, Jeremy T.; Glauser, Mark N; Higuchi, Hiroshi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*4th International Symposium on Turbulence and Shear Flow Phenomena.*vol. 1, pp. 105-109, 4th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 4, Williamsburg, VA, United States, 6/27/05.

}

TY - GEN

T1 - Closed-loop feedback control of the turbulent flow over a NACA-4412 airfoil

AU - Ausseur, Julie M.

AU - Pinier, Jeremy T.

AU - Glauser, Mark N

AU - Higuchi, Hiroshi

PY - 2005

Y1 - 2005

N2 - We are developing methods to predict the dynamics of the flow field above a NACA-4412 airfoil using real-time measurements of the pressure from the surface of the airfoil only. Through Proper Orthogonal Decomposition (POD) and modified Linear Stochastic Measurement (mLSM) low-dimensional techniques (Lumley (1967), Adrian (1975), Taylor & Glauser (2004)) these pressure measurements are coupled to Particle Image Velocimetry (PIV) data of the flow to estimate the time dependent coefficients describing the flow. Based on a least-squares technique applied to the POD spatial modes, we obtain a system of ODEs that are solved to get the time-evolution of the POD coefficients, whereby an estimate of the evolution equation of the flow is obtained. This low-dimensional estimated plant will be used to explore different Proportional, Integral & Derivative (PID) control parameters and will enable us to implement a controller of the flow state above the airfoil using leading-edge zero net-mass flow actuators while pitching the airfoil.

AB - We are developing methods to predict the dynamics of the flow field above a NACA-4412 airfoil using real-time measurements of the pressure from the surface of the airfoil only. Through Proper Orthogonal Decomposition (POD) and modified Linear Stochastic Measurement (mLSM) low-dimensional techniques (Lumley (1967), Adrian (1975), Taylor & Glauser (2004)) these pressure measurements are coupled to Particle Image Velocimetry (PIV) data of the flow to estimate the time dependent coefficients describing the flow. Based on a least-squares technique applied to the POD spatial modes, we obtain a system of ODEs that are solved to get the time-evolution of the POD coefficients, whereby an estimate of the evolution equation of the flow is obtained. This low-dimensional estimated plant will be used to explore different Proportional, Integral & Derivative (PID) control parameters and will enable us to implement a controller of the flow state above the airfoil using leading-edge zero net-mass flow actuators while pitching the airfoil.

UR - http://www.scopus.com/inward/record.url?scp=84867507844&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867507844&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84867507844

VL - 1

SP - 105

EP - 109

BT - 4th International Symposium on Turbulence and Shear Flow Phenomena

ER -