Prediction of a Supersonic Wing Flutter Boundary Using a High Fidelity Detached Eddy Simulation

Delayed Detached Eddy Simulation of supersonic flutter of a 3D wing is conducted at free stream Mach number of 1.141 using a fully coupled fluid/structure interaction (FSI). Unsteady 3D compressible Navier-Stokes equations are solved with a system of 5 decoupled structure modal equations in a fully coupled manner. The low diffusion E-CUSP scheme with a 5th order WENO reconstruction for the inviscid flux and a set of 4th order central differencing for the viscous terms are used to accurately capture the shock wave/turbulent boundary layer interaction of the vibrating wing. The predicted flutter boundary at supersonic Mach number achieves excellent agreement with experiment. It appears to be the first time that a numerical prediction of supersonic flutter boundary matches with experiment accurately.

[1]  Gecheng Zha,et al.  Delayed Detached Eddy Simulation of a Stall Flow Over NACA0012 Airfoil Using High Order Schemes , 2011 .

[2]  S. Obayashi,et al.  AILERON FLUTTER CALCULATION FOR A SUPERSONIC FUSELAGE-WING CONFIGURATION , 2002 .

[3]  F. Menter,et al.  Adaptation of Eddy-Viscosity Turbulence Models to Unsteady Separated Flow Behind Vehicles , 2004 .

[4]  Baoyuan Wang,et al.  Detached-Eddy Simulation of a Coflow Jet Airfoil at High Angle of Attack , 2011 .

[5]  P. Spalart Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach , 1997 .

[6]  A. G. Rainey,et al.  An experimental investigation of aerodynamic effects of airfoil thickness on transonic flutter characteristics , 1959 .

[7]  Baoyuan Wang,et al.  A GENERAL SUB-DOMAIN BOUNDARY MAPPING PROCEDURE FOR STRUCTURED GRID CFD PARALLEL COMPUTATION , 2007 .

[8]  Gecheng Zha,et al.  Comparison of a low diffusion E-CUSP and the Roe scheme for RANS calculation , 2008 .

[9]  Gecheng Zha,et al.  Calculation of Transonic Flows Using WENO Method with a Low Diffusion E-CUSP Upwind Scheme , 2008 .

[10]  A. Jameson Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings , 1991 .

[11]  Dimitri J. Mavriplis,et al.  Higher-order Time Integration Schemes for Aeroelastic Applications on Unstructured Meshes , 2006 .

[12]  Gecheng Zha,et al.  Improvement of the WENO scheme smoothness estimator , 2008 .

[13]  Gecheng Zha,et al.  Fully coupled fluid–structural interactions using an efficient high resolution upwind scheme , 2005 .

[14]  Gecheng Zha,et al.  Numerical simulation of 3-D wing flutter with fully coupled fluid–structural interaction , 2006 .

[15]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[16]  Gecheng Zha,et al.  Improvement of Stability and Accuracy for Weighted Essentially Nonoscillatory Scheme , 2009 .

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

[18]  Theo G. Keith,et al.  Time domain flutter analysis of cascades using a full-potential solver , 1990 .

[19]  Gecheng Zha,et al.  Fully Coupled Fluid-Structural Interactions Using an Efficient High Solution Upwind Scheme , 2004 .

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

[21]  Her Mann Tsai,et al.  Calculation of Wing Flutter by a Coupled CFD-CSD Method , 2000 .

[22]  Gecheng Zha,et al.  Detached-eddy simulation of a co-flow jet airfoil at high angle of attack , 2009 .

[23]  Gecheng Zha,et al.  General Subdomain Boundary Mapping Procedure for Structured Grid Implicit CFD Parallel Computation , 2008, J. Aerosp. Comput. Inf. Commun..

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

[25]  Gecheng Zha,et al.  An improved low diffusion E-CUSP upwind scheme , 2011 .

[26]  P. Spalart,et al.  A New Version of Detached-eddy Simulation, Resistant to Ambiguous Grid Densities , 2006 .

[27]  Gecheng Zha,et al.  Detached-Eddy Simulation of Transonic Limit Cycle Oscillations Using High Order Schemes , 2009 .

[28]  Ping-Chih Chen,et al.  A Harmonic Gradient Method for Unsteady Supersonic Flow Calculations , 1985 .

[29]  E. Carson Yates,et al.  AGARD standard aeroelastic configurations for dynamic response. Candidate configuration I.-wing 445.6 , 1987 .

[30]  Gecheng Zha,et al.  Implicit WENO Scheme and High Order Viscous Formulas for Compressible Flows , 2007 .

[31]  Juan J. Alonso,et al.  AIAA 94 – 0056 Fully-Implicit Time-Marching Aeroelastic Solutions , 2000 .

[32]  J. Xiao,et al.  Wing Flutter Simulations Using an Aeroelastic Solver Based on the Predictor—Corrector Scheme , 2010 .