Evaluation of linear, inviscid, viscous, and reduced-order modelling aeroelastic solutions of the AGARD 445.6 wing using root locus analysis

Reduced-order modeling (ROM) methods are applied to the CFD-based aeroelastic analysis of the AGARD 445.6 wing in order to gain insight regarding well-known discrepancies between the aeroelastic analyses and the experimental results. The results presented include aeroelastic solutions using the inviscid CAP-TSD code and the FUN3D code (Euler and Navier-Stokes). Full CFD aeroelastic solutions and ROM aeroelastic solutions, computed at several Mach numbers, are presented in the form of root locus plots in order to better reveal the aeroelastic root migrations with increasing dynamic pressure. Important conclusions are drawn from these results including the ability of the linear CAP-TSD code to accurately predict the entire experimental flutter boundary (repeat of analyses performed in the 1980’s), that the Euler solutions at supersonic conditions indicate that the third mode is always unstable, and that the FUN3D Navier-Stokes solutions stabilize the unstable third mode seen in the Euler solutions.

[1]  E C Yates,et al.  AGARD Standard Aeroelastic Configurations for Dynamic Response I - Wing 445.6 , 1988 .

[2]  Daniella E. Raveh,et al.  Aircraft aeroelastic analysis and design using CFD-based unsteady loads , 2000 .

[3]  Walter A. Silva,et al.  Development of Reduced-Order Models for Aeroelastic Analysis and Flutter Prediction Using the CFL3Dv6.0 Code , 2002 .

[4]  W. K. Anderson,et al.  An implicit upwind algorithm for computing turbulent flows on unstructured grids , 1994 .

[5]  H. J. Cunningham,et al.  Wing-flutter calculations with the CAP-TSD unsteady transonic small-disturbance program , 1989 .

[6]  Russell M. Cummings,et al.  Application of Volterra Functions to X-31 Aircraft Model Motion , 2009 .

[7]  A Silva Walter,et al.  Reduced-Order Modeling: Cooperative Research and Development at the NASA Langley Research Center , 2001 .

[8]  K. K. Gupta,et al.  Development of a finite element aeroelastic analysis capability , 1996 .

[9]  W. M. Adams,et al.  ISAC: A tool for aeroservoelastic modeling and analysis , 1993 .

[10]  Robert M. Bennett,et al.  Application of transonic small disturbance theory to the active flexible wing model , 1995 .

[11]  A. Milanese,et al.  Volterra kernels identification using continuous time impulses applied to a nonlinear aeroelastic problem , 2009 .

[12]  Walter A. Silva,et al.  Application of nonlinear systems theory to transonic unsteady aerodynamic responses , 1993 .

[13]  Taehyoun Kim,et al.  Aeroelastic Model Reduction for Affordable Computational Fluid Dynamics-Based Flutter Analysis , 2005 .

[14]  John T. Batina,et al.  Unsteady Transonic Flow Calculations for Realistic Aircraft Configurations , 1989 .

[15]  Philip S. Beran,et al.  Reduced-order modeling - New approaches for computational physics , 2001 .

[16]  Walter A. Silva,et al.  Recent Enhancements to the Development of CFD-Based Aeroelastic Reduced-Order Models , 2007 .

[17]  Robert M. Bennett,et al.  Modern wing flutter analysis by computational fluid dynamics methods , 1988 .

[18]  Walter A. Silva,et al.  Reduced-Order Models for the Aeroelastic Analysis of the Ares Vehicles , 2010 .

[19]  Ashraf Omran,et al.  Piecewise Global Volterra Nonlinear Modeling and Characterization for Aircraft Dynamics , 2009 .

[20]  J. Edwards A low-diffusion flux-splitting scheme for Navier-Stokes calculations , 1997 .

[21]  W. Silva,et al.  Identification of Nonlinear Aeroelastic Systems Based on the Volterra Theory: Progress and Opportunities , 2005 .

[22]  L Krist Sherrie,et al.  CFL3D User''s Manual (Version 5.0) , 1998 .

[23]  Ken Badcock,et al.  Transonic aerodynamic loads modeling of X-31 aircraft , 2012 .

[24]  Daniella E. Raveh,et al.  Identification of computational-fluid-dynamics based unsteady aerodynamic models for aeroelastic analysis , 2004 .

[25]  M. Phan,et al.  Identification of observer/Kalman filter Markov parameters: Theory and experiments , 1993 .

[26]  Walter A. Silva,et al.  Reduced-Order Models Based on Linear and Nonlinear Aerodynamic Impulse Responses , 1999 .

[27]  Walter A. Silva,et al.  Simultaneous Excitation of Multiple-Input Multiple-Output CFD-Based Unsteady Aerodynamic Systems , 2007 .

[28]  W. Silva,et al.  Discrete-time linear and nonlinear aerodynamic impulse responses for efficient cfd analyses , 1997 .

[29]  M Lee Elizabeth,et al.  Calculation of AGARD Wing 445.6 Flutter Using Navier-Stokes Aerodynamics , 1993 .

[30]  Elizabeth M. Lee-Rausch,et al.  Wing flutter boundary prediction using unsteady Euler aerodynamic method , 1993 .

[31]  Walter A. Silva,et al.  Development of Unsteady Aerodynamic and Aeroelastic Reduced-Order Models Using the FUN3D Code , 2009 .

[32]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[33]  Poyan Pahlavanloo Dynamic Aeroelastic Simulation of the AGARD 445.6 Wing using Edge , 2007 .

[34]  Jer-Nan Juang,et al.  An eigensystem realization algorithm for modal parameter identification and model reduction. [control systems design for large space structures] , 1985 .

[35]  Walter A. Silva,et al.  Development of Reduced-Order Models for Aeroelastic Analysis and Flutter Prediction Using the CFL3Dv6.0 Code , 2002 .

[36]  Carol D. Wieseman,et al.  Preliminary Computational Analysis of the (HIRENASD) Configuration in Preparation for the Aeroelastic Prediction Workshop , 2011 .

[37]  Jamshid Samareh-Abolhassani,et al.  Unstructured Grids on NURBS Surfaces , 1993 .

[38]  S. Pirzadeh Advanced Unstructured Grid Generation for Complex Aerodynamic Applications , 2013 .

[39]  Jamshid A. Samareh,et al.  Discrete Data Transfer Technique for Fluid-Structure Interaction , 2007 .

[40]  Fred Nitzsche,et al.  Reduced Order Modeling of Nonlinear Transonic Aerodynamics Using a Pruned Volterra Series , 2009 .

[41]  Robert T. Biedron,et al.  Recent Enhancements To The FUN3D Flow Solver For Moving-Mesh Applications , 2009 .

[42]  R. N. Desmarais,et al.  Curve fitting of aeroelastic transient response data with exponential functions , 1976 .