Three Dimensional Linearized Navier-Stokes Calculations for Flutter and Forced Response

This paper describes a new computational tool developed for the analysis of two or three dimensional, viscous or inviscid turbomachinery flutter and forced response problems. Time harmonic results are obtained by linearizing the underlying steady flow numerical algorithm, including the k-ω turbulence model. Solutions are obtained via explicit time marching, with multigrid, on multiblock grids. We present results that focus on the role of the linearization of the viscous terms and the turbulence model in the accurate computation of linearized unsteady flows.

[1]  Edward F. Crawley,et al.  Calculation of unsteady flows in turbomachinery using the linearized Euler equations , 1989 .

[2]  Kenneth C. Hall,et al.  A linearized Euler analysis of unsteady transonic flows in turbomachinery , 1993 .

[3]  Joseph M. Verdon,et al.  Review of unsteady aerodynamic methods for turbomachinery aeroelastic and aeroacoustic applications , 1993 .

[4]  Hafiz M. Atassi.  Unsteady Aerodynamics, Aeroacoustics, and Aeroelasticity of Turbomachines and Propellers , 1993 .

[5]  Timothy C. Ayer,et al.  Unsteady Aerodynamic Models for Turbomachinery Aeroelastic and Aeroacoustic Applications , 1992 .

[6]  Torsten Fransson,et al.  Aeroelasticity in Turbomachines - Comparison of Theoretical and Experimental Cascade Results Communication , 1986 .

[7]  D. Holmes,et al.  2D Linearized Harmonic Euler Flow Analysis for Flutter and Forced Response , 1993 .

[8]  David Wilcox.  Wall matching, a rational alternative to wall functions , 1989 .

[9]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[10]  Michael B. Giles,et al.  Validity of Linearized Unsteady Euler Equations with Shock Capturing , 1994 .

[11]  Antony Jameson,et al.  Validation of a multigrid method for the Reynolds averaged equations , 1988 .

[12]  D. Graham Holmes,et al.  Adaptive Unstructured 2D Navier-Stokes Solutions on Mixed Quadrilateral/Triangular Meshes , 1993 .

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

[14]  D. Wilcox.  Reassessment of the scale-determining equation for advanced turbulence models , 1988 .

[15]  Fernando Sisto,et al.  Numerical Computation of Nonstationary Aerodynamics of Flat Plate Cascades in Compressible Flow , 1976 .

[16]  A. Jameson.  Solution of the Euler equations for two dimensional transonic flow by a multigrid method , 1983 .

[17]  Paul G. A. Cizmas,et al.  Reduced-Order Modeling of Unsteady Viscous Flow in a Compressor Cascade , 1998 .

[18]  Wagdi G. Habashi,et al.  Solution techniques for large-scale CFD problems , 1995 .