Comparative analysis of computational methods for limit-cycle oscillations

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 8, Issue , 2006, Pages 5806-5817

  Gopinath, Arathi K ^a,c   Beran, Philip S ^b,c,d   Jameson, Antony ^a,c,d,e  

^a STANFORD UNIVERSITY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

^c AIAA   (United States)

^d Multidisciplinary Technologies Center   (United States)

^e Department of Aeronautics and Astronautics ^*

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; ERROR ANALYSIS; NONLINEAR ANALYSIS; PROBLEM SOLVING; TIME VARYING SYSTEMS;

COMPARATIVE ANALYSIS; FREQUENCY PREDICTION; LIMIT CYCLE OSCILLATIONS; STRUCTURAL COUPLING;

COMPUTATIONAL METHODS;

EID: 34147219388     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-2076     Document Type: Conference Paper

References (17)

1. P.S. Beran and D.J. Lucia. A reduced order cyclic method for computation of limit cycles. Nonlinear Dynamics, 39:143-158, 2005.
2. A. Gopinath and A. Jameson. Time spectral method for periodic unsteady computations over two- and three-dimensional bodies. AIAA paper 05-1220, AIAA 43rd Aerospace Sciences Meeting and Exhibit, Reno, NV, January 10-13 2005.
3. K.C. Hall, J.P. Thomas, and W.S. Clark. Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA Journal, 40(5):879-886, May 2002.
4. A.T. Patera. A spectral method for fluid dynamics: Laminar flow in a channel expansion. J. Computational Physics, (54:468), 1984.
5. G.E. Karniadakis and S.J. Sherwin. Spectrtal/hp Element Methods for CFD. Oxford University Press, 1999.
6. D.Lee and D.H.Hodges. A multi-flexible-body aeroelastic analysis of rotating systems with flexible components. AIAA paper 02-1603, 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Denver, Colorado, April 22-25 2002.
7. M.Borri. Helicopter rotor dynamics by finite element time approximation. Computers and Mathematics with Applications, Vol. 12A, No.1:149-160, January 1986.
8. M. McMullen, A. Jameson, and J.J. Alonso. Acceleration of convergence to a periodic steady state in turbomachinery flows. AIAA paper 01-0152, AIAA 39th Aerospace Sciences Meeting, Reno, NV, January 2001.
9. M. McMullen, A. Jameson, and J.J. Alonso. Application of a non-linear frequency domain solver to the euler and navier-stokes equations. AIAA paper 02-0120, AIAA 40th Aerospace Sciences Meeting and Exhibit, Reno, NV, January 2002.
10. A. Quarteroni C. Canuto, M.Y. Hussaini and T.A. Zang. Spectral Methods in Fluid Dynamics; Springer Series in Computational Physics. Springer Verlag, 1988.
11. E. Van der Weide, A. Gopinath, and A. Jameson. Turbomachinery applications with the time spectral method. AIAA paper 05-4905, 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, June 6-9 2005.
12. B. Lee, L. Jiang, and Y. Wong. Flutter of an airfoil with a cubic restoring force. AIAA, 1998-1725, April 1998.
13. D.R. Millman, P.I. King, and P.S. Beran. A stochastic approach for predicting bifurcation of a pitch and plunge airfoil. AIAA, 2003-3515, June 2003.
14. C.L. Pettit and P.S. Beran. Effects of parametric uncertainty on airfoil limit-cycle oscillation. Journal of Aircraft, 40(5):1004-1006, Sep-Oct 2003.
15. E.H. Dowell. Nonlinear oscillations of a fluttering plate. AIAA Journal, 4(7):1267-1275, July 1996.
16. P.S.Beran, D.J.Lucia, and C.L.Pettit. Reduced order modelling if limit-cycle oscillation for aeroelastic systems. ASME 2002-32954, Proceedings of IMECE '02, New Orleans, LA, November 2002.
17. R.P.Selvam and S.A.Morton. Computation of nonlinear viscous panel flutter using a fully implicit aeroelastic solver. (98-1844), 1998.