A CFD/CSD interaction methodology for aircraft wings

With advanced subsonic transports and military aircraft operating in the transonic regime, it is becoming important to determine the effects of the coupling between aerodynamic loads and elastic forces. Since aeroelastic effects can contribute significantly to the design of these aircraft, there is a strong need in the aerospace industry to predict these aero-structure interactions computationally. To perform static aeroelastic analysis in the transonic regime, high fidelity computational fluid dynamics (CFD) analysis tools must be used in conjunction with high fidelity computational structural dynamics (CSD) analysis tools due to the nonlinear behavior of the aerodynamics in the transonic regime. There is also a need to be able to use a wide variety of CFD and CSD tools to predict these aeroelastic effects in the transonic regime. Because source codes are not always available, it is necessary to couple the CFD and CSD codes without alteration of the source codes. In this study, an aeroelastic coupling procedure is developed which will perform static aeroelastic analysis using any CFD and CSD code with little code integration. The aeroelastic coupling procedure is demonstrated on an F/A-18 Stabilator using NASTD (an in-house McDonnell Douglas CFD code) and NASTRAN. In addition, the Aeroelastic Research Wing (ARW-2) is used for demonstration of the aeroelastic coupling procedure by using ENSAERO (NASA Ames Research Center CFD code) and a finite element wing-box code (developed as a part of this research). The results obtained from the present study are compared with those available from an experimental study conducted at NASA Langley Research Center and a study conducted at NASA Ames Research Center using ENSAERO and modal superposition. The results compare well with experimental data. Parallel computing power is used to investigate parallel static aeroelastic analysis because obtaining an aeroelastic solution using CFD/CSD methods is computationally intensive. A parallel finite element wing-box code is developed and coupled with an existing parallel Euler code to perform static aeroelastic analysis. A typical wing-body configuration is used to investigate the applicability of parallel computing to this analysis. Performance of the parallel aeroelastic analysis is shown to be poor; however with advances being made in the arena of parallel computing, there is definitely a need to continue research in this area.

[1]  Marilyn J. Smith,et al.  An Evaluation of Computational Algorithms to Interface Between CFD and CSD Methodologies. , 1996 .

[2]  M. D. Olson,et al.  A simple flat triangular shell element revisited , 1979 .

[3]  Boyd Perry,et al.  A summary of the active flexible wing program , 1992 .

[4]  S. Obayashi,et al.  Convergence acceleration of a Navier-Stokes solver for efficient static aeroelastic computations , 1995 .

[5]  Guru P. Guruswamy,et al.  Fluid-structural interactions using Navier-Stokes flow equations coupled with shell finite element structures , 1993 .

[6]  B. D. Veubeke Displacement and equilibrium models in the finite element method , 1965 .

[7]  D. Allman A compatible triangular element including vertex rotations for plane elasticity analysis , 1984 .

[8]  Guru P. Guruswamy,et al.  Direct coupling of Euler flow equations with plate finite element structures , 1995 .

[9]  J. Ahmad,et al.  Advanced CFD and CSD methods for multidisciplinary applications in rotorcraft problems , 1996 .

[10]  T. A. Byrdsong,et al.  Close-Range Photogrammetric Measurement of Static Deflections for an Aeroelastic Supercritical Wing , 1990 .

[11]  G. Guruswamy,et al.  ATRAN3S: An unsteady transonic code for clean wings , 1985 .

[12]  G. Guruswamy Unsteady aerodynamic and aeroelastic calculations for wings using Euler equations , 1990 .

[13]  Victoria A. Tischler,et al.  'ANALYZE' - Analysis of Aerospace Structures with Membrane Elements. , 1978 .

[14]  R. F. Warming,et al.  An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations , 1976 .

[15]  R. Yurkovich Optimum wing shape for an active flexible wing , 1995 .

[16]  Kari Appa,et al.  Finite-surface spline , 1989 .

[17]  William H Mason,et al.  An Automated Procedure for Computing the Three-Dimensional Transonic Flow over Wing-Body Combinations, Including Viscous Effects. Volume I. Description of Analysis Methods and Applications. , 1978 .

[18]  James Nathman,et al.  AEROELASTIC CALCULATIONS WITH AN EULER CODE , 1997 .

[19]  Robert M. Bennett,et al.  Recent advances in transonic computational aeroelasticity , 1988 .

[20]  Guru P. Guruswamy,et al.  Transonic-buffet associated aeroelasticity of a supercritical wing , 1996 .

[21]  C. J. Borland,et al.  Non-Linear Aeroelastic Predictions for Transport Aircraft , 1990 .

[22]  Rakesh K. Kapania,et al.  Parallel aeroelastic computations by using coupled Euler flow and wing-box structural models , 1995 .

[23]  David Yeh Aeroelastic analysis of a hinged-flap and control effectiveness using the Navier-Stokes equations , 1995 .

[24]  Martin Goland,et al.  Principles of aeroelasticity , 1975 .

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

[26]  Guru P. Guruswamy,et al.  Ensaero—A multidisciplinary program for fluid/structural interaction studies of aerospace vehicles , 1990 .

[27]  Boyd Perry,et al.  Summary of an Active Flexible Wing program , 1992 .

[28]  Sisira Weeratunga,et al.  Parallel computation of 3-D Navier-Stokes flowfields for supersonic vehicles , 1993 .

[29]  R. Chipman,et al.  Numerical computation of aeroelastically corrected transonic loads , 1979 .

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

[31]  Guru P. Guruswamy,et al.  Coupled finite-difference/finite-element approach for wing-body aeroelasticity , 1992 .

[32]  Guru P. Guruswamy,et al.  Wing-Body Aeroelasticity Using Finite-Difference Fluid/Finite-Element Structural Equations on Parallel Computers , 1994 .

[33]  R. N. Desmarais,et al.  Interpolation using surface splines. , 1972 .

[34]  Gerald D Miller Active Flexible Wing (AFW) Technology , 1988 .

[35]  P. A. Newman,et al.  Efficient nonlinear static aeroelastic wing analysis , 1999 .

[36]  T. Cebeci,et al.  A general method for calculating aeros-structure interaction on aircraft configurations , 1996 .

[37]  Rakesh K. Kapania,et al.  Static aeroelastic analysis of wings using Euler/Navier-Stokes equations coupled with improved wing-box finite element structures , 1994 .

[38]  Charbel Farhat,et al.  A parallel active column equation solver , 1988 .

[39]  R. Pidaparti,et al.  Structural and aerodynamic data transformation using inverse isoparametric mapping , 1992 .

[40]  H. S. Murty Nonlinear aspects of transonic aeroelasticity , 1993 .

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

[42]  J. A. McGrew,et al.  Comment on 'interpolation using surface splines.' , 1972 .

[43]  Robert Bush,et al.  A three dimensional zonal Navier-Stokes code for subsonic through hypersonic propulsion flowfields , 1988 .

[44]  George Karypis,et al.  Introduction to Parallel Computing , 1994 .

[45]  T. Pulliam,et al.  A diagonal form of an implicit approximate-factorization algorithm , 1981 .

[46]  Alpheus W. Burner,et al.  STATIC AEROELASTIC ANALYSIS OF TRANSONIC WIND TUNNEL MODELS USING FINITE ELEMENT METHODS , 1997 .

[47]  J. H. Arcyris Technical notes , 1965, The Journal of the Royal Aeronautical Society.

[48]  T. Yang,et al.  Aeroelastic time response analysis of thin airfoils by transonic code LTRAN2 , 1981 .

[49]  J. L. Hess,et al.  Calculation of compressible flow about three-dimensional inlets with auxiliary inlets, slats and vanes by means of a panel method , 1985 .

[50]  Raymond M. Kolonay,et al.  Multiple control surface utilization in active aeroelastic wing technology , 1997 .

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

[52]  Henri Viviand,et al.  Computation of Viscous Compressible Flows based on the Navier-Stokes Equations, , 1975 .

[53]  M. Turner Stiffness and Deflection Analysis of Complex Structures , 1956 .

[54]  Fort F. Felker,et al.  A new method for transonic static aeroelasticity problems , 1992 .

[55]  Oddvar Bendiksen,et al.  A new approach to computational aeroelasticity , 1991 .

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

[57]  Maynard C. Sandford,et al.  Geometrical and structural properties of an Aeroelastic Research Wing (ARW-2) , 1989 .