Development and Application of an ALE Solver for Turbomachinery Aeromechanics

High Cycle Fatigue (HCF) is a key issue in the development and endurance of gas turbine engines that results from the flow-induced vibratory response of turbomachine blading to unsteady aerodynamic excitations. This paper describes the development and application of TAM-ALE3D, an Arbitrary Lagrangian Eulerian (ALE) finite element coupled fluid- structure interaction solver, to axial and radial flow turbomachinery aeromechanics issues. The incorporation of turbomachinery-specific algorithms enables the analysis of crack generation in the Inlet Guide Vanes (IGVs) of a modern transonic compressor due to resonant vibrations generated by the potential/shock field of the downstream rotor. The capability to model turbulent wake forcing functions makes possible predictions of the resonant vibratory stress resulting from the subsonic rotor wakes interacting with the downstream stators. The modification of outflow boundary conditions to model incoming acoustic waves allows the unsteady aerodynamic response of a high-speed centrifugal compressor impeller to the potential/shock excitation generated by the downstream radial- vaned diffuser to be simulated. Finally, the impeller blade aerodynamic damping is calculated to quantify the effect of blade-motion induced aerodynamics at the exducer.

[1]  Carlos E. S. Cesnik,et al.  Evaluation of computational algorithms suitable for fluid-structure interactions , 2000 .

[2]  Michael B. Giles,et al.  Nonreflecting boundary conditions for Euler equation calculations , 1990 .

[3]  Roy David Fulayter An experimental investigation of resonant response of mistuned fan and compressor rotors utilizing NSMS , 2004 .

[4]  Ian K. Jennions,et al.  An Investigation of Turbulence Modeling in Transonic Fans Including a Novel Implementation of an Implicit k–ε Turbulence Model , 1993 .

[5]  Abdulnaser I. Sayma,et al.  AN INTEGRATED NONLINEAR APPROACH FOR TURBOMACHINERY FORCED RESPONSE PREDICTION. PART I: FORMULATION , 2000 .

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

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

[8]  Sanford Fleeter,et al.  FINITE ELEMENT SIMULATION OF TURBOMACHINE BLADE ROW VISCOUS INTERACTIONS - VANE VIBRATORY STRESS PREDICTIONS , 2004 .

[9]  D. Benson Computational methods in Lagrangian and Eulerian hydrocodes , 1992 .

[10]  J. Hyvärinen,et al.  An Arbitrary Lagrangian-Eulerian finite element method , 1998 .

[11]  R. Thomas,et al.  UNSTEADY FLOW INVESTIGATION IN A TRANSONIC CENFRIFUGAL COMPRESSOR STAGE , 1997 .

[12]  Li He,et al.  An Euler Solution for Unsteady Flows Around Oscillating Blades , 1990 .

[13]  S. Fleeter,et al.  Multi-Blade Row Interactions in a Transonic Axial Compressor: Part II — Rotor Wake Forcing Function and Stator Unsteady Aerodynamic Response , 2001 .

[14]  Edward J. Hall,et al.  Investigation of Advanced Counterrotation Blade Configuration Concepts for High Speed Turboprop Systems. Task 8: Cooling Flow/heat Transfer Analysis User's Manual , 1994 .

[15]  Sanford Fleeter,et al.  Turbomachine Blade Row Interaction Predictions with a Three-Dimensional Finite Element Method , 2002 .

[16]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .

[17]  Theo G. Keith,et al.  A 3D EULER / NAVIER-STOKES AEROELASTIC CODE FOR PROPULSION APPLICATIONS , 1997 .

[18]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[19]  Pénélope Leyland,et al.  Analysis of Fluid-Structu re Interaction on Moving Airfoils by Means of an Improved ALE-method , 1997 .

[20]  W. F. Noh Numerical methods in hydrodynamic calculations , 1976 .

[21]  Caitlin J. Smythe Forced response predictions in modern centrifugal compressor design , 2005 .

[22]  Abdulnaser I. Sayma,et al.  Multi-bladerow fan forced response predictions using an integrated three-dimensional time-domain aeroelasticity model , 2000 .

[23]  Kishore Ramakrishnan Computational investigations of axial and radial flow compressor aeromechanics , 2005 .

[24]  M. M. Rai,et al.  A numerical analysis of tonal acoustics in rotor-stator interactions , 1993 .

[25]  Dana Albert Gottfried Simulation of fluid -structure interaction in turbomachines , 2000 .