Wing flutter boundary prediction using unsteady Euler aerodynamic method

Modifications to an existing three-dimensional, implicit, upwind Euler/Navier-Stokes code (CFL3D Version 2.1) for the aeroelastic analysis of wings are described. These modifications, which were previously added to CFL3D Version 1.0, include the incorporation of a deforming mesh algorithm and the addition of the structural equations of motion for their simultaneous time-integration with the government flow equations. The paper gives a brief description of these modifications and presents unsteady calculations which check the modifications to the code. Euler flutter results for an isolated 45 degree swept-back wing are compared with experimental data for seven freestream Mach numbers which define the flutter boundary over a range of Mach number from 0.499 to 1.14. These comparisons show good agreement in flutter characteristics for freestream Mach numbers below unity. For freestream Mach numbers above unity, the computed aeroelastic results predict a premature rise in the flutter boundary as compared with the experimental boundary. Steady and unsteady contours of surface Mach number and pressure are included to illustrate the basic flow characteristics of the time-marching flutter calculations and to aid in identifying possible causes for the premature rise in the computational flutter boundary.

[1]  Guru P. Guruswamy,et al.  Time-accurate unsteady aerodynamic and aeroelastic calculations for wings using Euler equations , 1988 .

[2]  David M. Schuster,et al.  Static aeroelastic analysis of fighter aircraft using a three-dimensional Navier-Stokes algorithm , 1990 .

[3]  Robert M. Bennett,et al.  An exploratory study of finite difference grids for transonic unsteady aerodynamics , 1983 .

[4]  Russ D. Rausch,et al.  Euler flutter analysis of airfoils using unstructured dynamic meshes , 1989 .

[5]  John Batina,et al.  Unsteady Euler algorithm with unstructured dynamic mesh for complex-aircraft aeroelastic analysis , 1989 .

[6]  Guru P. Guruswamy,et al.  Navier-Stokes computations on swept-tapered wings, including flexibility , 1990 .

[7]  Guru P. Guruswamy,et al.  Vortical flow computations on a flexible blended wing-body configuration , 1991 .

[8]  Russ D. Rausch,et al.  Three-dimensional time-marching aeroelastic analyses using an unstructured-grid Euler method , 1992 .

[9]  John T. Batina,et al.  Wing flutter computations using an aerodynamic model based on the Navier-Stokes equations , 1996 .

[10]  Guru P. Guruswamy Numerical simulation of vortical flows on flexible wings , 1989 .

[11]  Guru P. Guruswamy,et al.  VORTICAL FLOW COMPUTATIONS ON SWEPT FLEXIBLE WINGS USING NAVIER-STOKES EQUATIONS , 1989 .

[12]  W. K. Anderson,et al.  Comparison of Finite Volume Flux Vector Splittings for the Euler Equations , 1985 .

[13]  John T. Batina,et al.  Aeroelastic Analysis of Wings Using the Euler Equations with a Deforming Mesh , 1991 .

[14]  R. H. Ricketts,et al.  Some recent applications of XTRAN3S , 1983 .

[15]  Robert M. Bennett,et al.  Time-marching transonic flutter solutions including angle-of-attack effects , 1983 .

[16]  H. Hoeijmakers Numerical simulation of vortical flow , 1986 .

[17]  James L. Thomas,et al.  Extension and applications of flux-vector splitting to unsteady calculations on dynamic meshes , 1987 .

[18]  Guru P. Guruswamy,et al.  Unsteady Shock-Vortex Interaction on a Flexible Delta Wing , 1991 .

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

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

[21]  Guru P. Guruswamy,et al.  Application of a streamwise upwind algorithm for unsteady transonic computations over oscillating wings , 1990 .

[22]  N. S. Barnett,et al.  Private communication , 1969 .

[23]  J. Batina UNSTEADY EULER ALGORITHM WITH UNSTRUCTURED DYNAMIC MESH FOR COMPLEX – AIRCRAFT AERODYNAMIC ANALYSIS , 1991 .

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