A Fast Correction Method of Model Deformation Effects in Wind Tunnel Tests

The influence of model deformation needs to be corrected before the aerodynamic force data measured in the wind tunnel is applied to aircraft design. In order to obtain the aerodynamic forces on rigid model shape, this paper presents a fast correction method by establishing a mathematical modelling method connecting aerodynamic forces and wing section torsion. The aerodynamic force coefficients on rigid model shape can then be calculated quickly just by setting section torsion to zero. A 25-point simulation dataset of the High Reynolds Number Aero-Structural Dynamics (HIRENASD) model generated by Computational Fluid Dynamics (CFD) and Static Computational Aeroelasticity (CAE) approach is used to investigate the influence of section locations, basis function type, support radius, and deformation perturbation on the prediction accuracy. Finally, the present correction method is applied to predict the aerodynamic forces on the rigid shape of a NASA common research model. The results of parametric analysis and application show that the present correction method with the Wendland’s C6 function and a support radius of 1.0 can provide a reasonable prediction of aerodynamic forces on the rigid model shape.

[1]  Josef Ballmann,et al.  Experimental Analysis of high Reynolds Number structural Dynamics in ETW , 2008 .

[2]  Stefan Keye,et al.  Aero-Elastic Simulation of DLR’s F6 Transport Aircraft Configuration and Comparison to Experimental Data , 2009 .

[3]  John C. Vassberg,et al.  Development of a Common Research Model for Applied CFD Validation Studies , 2008 .

[4]  Edward N. Tinoco,et al.  Summary Data from the Sixth AIAA Computational Fluid Dynamics Drag Prediction Workshop: Code Verification , 2018, Journal of Aircraft.

[5]  Joseph H. Morrison,et al.  Statistical Analysis of Solutions from the Sixth AIAA Computational Fluid Dynamics Drag Prediction Workshop. , 2018, Journal of aircraft.

[6]  Stefan Keye,et al.  Summary of Case 5 from Sixth Drag Prediction Workshop: Coupled Aerostructural Simulation , 2017, Journal of Aircraft.

[7]  David Hue,et al.  Fifth Drag Prediction Workshop: ONERA Investigations with Experimental Wing Twist and Laminarity , 2014 .

[8]  Christopher L. Rumsey,et al.  Overview and Summary of the Second AIAA High-Lift Prediction Workshop , 2015 .

[9]  Peter Horst,et al.  Exploring Vehicle Level Benefits of Revolutionary Technology Progress via Aircraft Design and Optimization , 2018 .

[11]  D. Destarac,et al.  Drag Polar Invariance with Flexibility , 2015 .

[12]  A. W. Burner,et al.  Wing Deformation Measurements of the DLR-F6 Transport Configuration in the National Transonic Facility (Invited) , 2008 .

[13]  Jürgen Quest,et al.  A short history of the European Transonic Wind Tunnel ETW , 2011 .

[14]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[15]  Melissa B. Rivers,et al.  Further Investigation of the Support System Effects and Wing Twist on the NASA Common Research Model , 2012 .

[16]  Melissa B. Rivers,et al.  Comparison of the NASA Common Research Model European Transonic Wind Tunnel test data to NASA National Transonic Facility test data , 2018 .

[17]  Edward N. Tinoco,et al.  Summary of the Fourth AIAA Computational Fluid Dynamics Drag Prediction Workshop , 2014 .

[18]  K. Yasue,et al.  CFD-Aided Evaluation of Reynolds Number Scaling Effect Accounting for Static Model Deformation , 2012 .

[19]  Zhi J. Wang,et al.  Fast, Block Lower-Upper Symmetric Gauss-Seidel Scheme for Arbitrary Grids , 2000 .

[20]  G. Dimitriadis,et al.  Unsteady lifting line theory using the Wagner function , 2017 .

[21]  John W. Edwards.  National Transonic Facility Model and Tunnel Vibrations , 2009 .

[22]  Edward N. Tinoco,et al.  Summary of Data from the Sixth AIAA CFD Drag Prediction Workshop: CRM Cases 2 to 5 , 2017 .

[23]  F. Menter.  Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[24]  Richard A. Wahls,et al.  Off-Design Reynolds Number Effects for a Supersonic Transport , 2013 .

[25]  Olaf Brodersen,et al.  Investigations of Fluid-Structure-Coupling and Turbulence Model Effects on the DLR Results of the Fifth AIAA CFD Drag Prediction Workshop , 2013 .

[26]  Ralf Heinrich,et al.  Fluid-Structure Coupling for Aerodynamic Analysis and Design - A DLR Perspective , 2008 .

[27]  E. Elsholz,et al.  Initial achievements of the European High Reynolds number Aerodynamic Research Project "HiReTT" , 2002 .

[28]  Alpheus W. Burner,et al.  Model Deformation Measurements at NASA Langley Research Center , 1997 .

[29]  Markus Ritter,et al.  Assessment of the ONERA/DLR numerical aeroelastics prediction capabilities on the HIRENASD configuration , 2011 .

[30]  Seigo Koga,et al.  Analysis of NASA Common Research Model Dynamic Data in JAXA Wind Tunnel Tests , 2013 .

[31]  Melissa B. Rivers,et al.  NASA Common Research Model: A History and Future Plans , 2019, AIAA Aviation 2019 Forum.

[32]  Walter A. Silva,et al.  AEROM: NASA's Unsteady Aerodynamic and Aeroelastic Reduced-Order Modeling Software. , 2018, Aerospace.

[33]  Danny A. Barrows,et al.  Photogrammetric techniques for aerospace applications , 2012 .

[34]  Marek Behr,et al.  Aero-Structural Wind Tunnel Experiments with Elastic Wing Models at High Reynolds Numbers (HIRENASD - ASDMAD) , 2011 .

[35]  Christian B. Allen,et al.  Efficient mesh motion using radial basis functions with data reduction algorithms , 2008, J. Comput. Phys..

[36]  Martin D. Buhmann,et al.  Radial Basis Functions , 2021, Encyclopedia of Mathematical Geosciences.

[37]  Qiang Li,et al.  Ispravak učinaka deformacije modela za superkritično krilo u transoničkom vjetrenom tunelu , 2017 .

[38]  P. Vrchota,et al.  Using wing model deformation for improvement of CFD results of ESWIRP project , 2018 .

[39]  D. Pallek,et al.  Model deformation measurement in ETW using the Moire technique , 2003, 20th International Congress on Instrumentation in Aerospace Simulation Facilities, 2003. ICIASF '03..

[40]  Edward N. Tinoco,et al.  Summary of Data from the Fifth Computational Fluid Dynamics Drag Prediction Workshop , 2014 .

[41]  Jennifer Heeg,et al.  Overview and Lessons Learned from the Aeroelastic Prediction Workshop , 2013 .

[42]  David Hue,et al.  Experimental Investigations on the Common Research Model at ONERA-S1MA - Comparison with DPW Numerical Results , 2017 .

[43]  Melissa B. Rivers,et al.  Experimental Investigations of the NASA Common Research Model (Invited) , 2010 .

[44]  Melissa B. Rivers,et al.  Experimental Investigation of the NASA Common Research Model , 2014 .

[45]  K. Yasue,et al.  Effect of Model Deformation on Aerodynamic Coefficients for the AGARD-B Wind Tunnel Model , 2011 .