CFD-Based Aeroelastic Eigensolver for the Subsonic, Transonic, and Supersonic Regimes

We describe a linearized computational fluid dynamics (CFD) method for computing an arbitrary number of eigensolutions of a given aeroelastic problem. The proposed method is based on the reengineering of a three-way coupled formulation previously developed for the solution in the time domain of nonlinear transient aeroelastic problems. It is applicable in the subsonic, transonic, and supersonic flow regimes, and independently from the frequency or damping level of the target aeroelastic modes. It is based on the computation of the complex eigen-solution of a carefully linearized fluid-structure interaction problem, relies on the inverse orthogonal iteration algorithm, and reutilizes existing unsteady flow solvers. This is a validated method with the flutter analysis of the AGARD Wing 445.6 for which experimental data are available.

[1]  Hervé Guillard,et al.  A Second Order Defect Correction Scheme for Unsteady Problems , 1996 .

[2]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

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

[4]  J. Batina Unsteady Euler airfoil solutions using unstructured dynamic meshes , 1989 .

[5]  Stéphane Lanteri,et al.  Parallel heterogeneous algorithms for the solution of three-dimensional transient coupled aeroelastic problems , 1995 .

[6]  Charbel Farhat,et al.  Matching fluid and structure meshes for aeroelastic computations : a parallel approach , 1995 .

[7]  Charbel Farhat,et al.  Stability analysis of dynamic meshes for transient aeroelastic computations , 1993 .

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

[9]  Stéphane Lanteri,et al.  Simulation of compressible viscous flows on a variety of MPPs: computational algorithms for unstructured dynamic meshes and performance results , 1994 .

[10]  P. George Improvements on Delaunay-based three-dimensional automatic mesh generator , 1997 .

[11]  D. Mingori,et al.  Approximate Subspace Iteration for constructing internally balanced reduced order models of unsteady aerodynamic systems , 1996 .

[12]  Charbel Farhat,et al.  A conservative algorithm for exchanging aerodynamic and elastodynamic data in aeroelastic systems , 1998 .

[13]  Stéphane Lanteri,et al.  TOP/DOMDEC : a software tool for mesh partitioning and parallel processing and applications to CSM a , 1995 .

[14]  Sisira Weeratunga,et al.  Aeroelastic computations for wings through direct coupling on distributed-memory MIMD parallel computers , 1994 .

[15]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[16]  Hermann J. Hassig,et al.  An Approximate True Damping Solution of the Flutter Equation by Determinant Iteration , 1971 .

[17]  C. Farhat,et al.  Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solution , 1995 .

[18]  C. Farhat,et al.  Partitioned procedures for the transient solution of coupled aroelastic problems Part I: Model problem, theory and two-dimensional application , 1995 .

[19]  Andreas Griewank,et al.  ADIFOR - Generating Derivative Codes form Fortran Programs , 1992, Sci. Program..

[20]  J. Edwards Unsteady aerodynamic modeling and active aeroelastic control , 1977 .

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

[22]  Miguel R. Visbal,et al.  Comparative numerical study of two turbulence models for airfoil static and dynamic stall , 1992 .

[23]  Scott A. Morton,et al.  Nonlinear Analysis of Airfoil Flutter at Transonic Speeds. , 1995 .

[24]  J. R. Richardson,et al.  A MORE REALISTIC METHOD FOR ROUTINE FLUTTER CALCULATIONS , 1965 .

[25]  Earl H. Dowell,et al.  Eigenmode analysis in unsteady aerodynamics - Reduced-order models , 1995 .