Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-17T13:21:22.705Z Has data issue: false hasContentIssue false
  • English
  • Français

Estimation of unsteady aerodynamic forces using pointwise velocity data

Published online by Cambridge University Press:  08 September 2016

F. Gómez Open the ORCID record for F. Gómez [Opens in a new window] ,
A. S. Sharma  and
H. M. Blackburn
F. Gómez*
Affiliation:
Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia
A. S. Sharma
Affiliation:
Aerodynamics and Flight Mechanics, University of Southampton, Southampton SO17 1BJ, UK
H. M. Blackburn
Affiliation:
Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

A novel method to estimate unsteady aerodynamic force coefficients from pointwise velocity measurements is presented. As opposed to other existing methodologies, time-resolved full velocity fields are not required. The methodology is based on a resolvent-based reduced-order model which requires the mean flow to obtain physical flow structures and pointwise measurement to calibrate their amplitudes. A computationally affordable time-stepping methodology to obtain resolvent modes in non-trivial flow domains is introduced and compared with previous existing matrix-free and matrix-forming strategies. The technique is applied to the unsteady flow around an inclined square cylinder at low Reynolds number. The potential of the methodology is demonstrated through good agreement between the fluctuating pressure distribution on the cylinder and the temporal evolution of the unsteady lift and drag coefficients predicted by the model and those computed by direct numerical simulation.

JFM classification

Aerodynamics: Aerodynamics Nonlinear Dynamical Systems: Low-dimensional models Nonlinear Dynamical Systems: Nonlinear Dynamical Systems
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 804 , 10 October 2016 , R4
Check for updates
Copyright
© 2016 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barkley, D., Blackburn, H. M. & Sherwin, S. J. 2008 Direct optimal growth analysis for timesteppers. Intl J. Numer. Meth. Fluids 57 (9), 1435–1458.CrossRefGoogle Scholar
Blackburn, H. M. & Sherwin, S. J. 2004 Formulation of a Galerkin spectral element – Fourier method for three-dimensional incompressible flows in cylindrical geometries. J. Comput. Phys. 197, 759–778.CrossRefGoogle Scholar
Bourgeois, J. A., Noack, B. R. & Martinuzzi, R. J. 2013 Generalized phase average with applications to sensor-based flow estimation of the wall-mounted square cylinder wake. J. Fluid Mech. 736, 316–350.CrossRefGoogle Scholar
Brunton, S. L., Rowley, C. W. & Williams, D. R. 2013 Reduced-order unsteady aerodynamic models at low Reynolds numbers. J. Fluid Mech. 724, 203–233.CrossRefGoogle Scholar
Gómez, F., Blackburn, H. M., Rudman, M., Sharma, A. S. & McKeon, B. J. 2016 A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator. J. Fluid Mech. 798, R2, 1–14.CrossRefGoogle Scholar
Kurtulus, D. F., Scarano, F. & David, L. 2007 Unsteady aerodynamic forces estimation on a square cylinder by TR-PIV. Exp. Fluids 42 (2), 185–196.CrossRefGoogle Scholar
Lu, L. & Papadakis, G. 2014 An iterative method for the computation of the response of linearised Navier–Stokes equations to harmonic forcing and application to forced cylinder wakes. Intl J. Numer. Meth. Fluids 74 (11), 794–817.CrossRefGoogle Scholar
Luhar, M., Sharma, A. S. & McKeon, B. J. 2014 Opposition control within the resolvent analysis framework. J. Fluid Mech. 749, 597–626.CrossRefGoogle Scholar
McKeon, B. J. & Sharma, A. S. 2010 A critical layer framework for turbulent pipe flow. J. Fluid Mech. 658, 336–382.CrossRefGoogle Scholar
Moarref, R., Sharma, A. S., Tropp, J. A. & McKeon, B. J. 2013 Model-based scaling of the streamwise energy density in high-Reynolds-number turbulent channels. J. Fluid Mech. 734, 275–316.CrossRefGoogle Scholar
Monokrousos, A., Åkervik, E., Brandt, L. & Henningson, D. S. 2010 Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers. J. Fluid Mech. 650, 181–214.CrossRefGoogle Scholar
Noack, B. R., Afanasiev, K., Morzyński, M., Tadmor, G. & Thiele, F. 2003 A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. J. Fluid Mech. 497, 335–363.CrossRefGoogle Scholar
Paredes, P., Hermanns, M., Le Clainche, S. & Theofilis, V. 2013 Order 104 speedup in global linear instability analysis using matrix formation. Comput. Meth. Appl. Mech. Engng 253, 287–304.CrossRefGoogle Scholar
Sohankar, A., Norberg, C. & Davidson, L. 1998 Low-Reynolds-number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition. Intl J. Numer. Meth. Fluids 26 (1), 39–56.3.0.CO;2-P>CrossRefGoogle Scholar
Spalart, P. R. & Venkatakrishnan, V. 2016 On the role and challenges of CFD in the aerospace industry. Aeronaut. J. 120, 209–232.CrossRefGoogle Scholar
Yoon, D.-H., Yang, K.-S. & Choi, C.-B. 2010 Flow past a square cylinder with an angle of incidence. Phys. Fluids 22 (4), 043603.CrossRefGoogle Scholar