Advances in the Numerical Analysis of Linearized Unsteady Cascade Flows

Abstract

This report describes two new developments in the numerical analysis of linearized unsteady cascade flows, which have been motivated by the need for an accurate analytical procedure for predicting the onset of flutter in highly loaded compressor cascades. Numerical solutions have been determined using a two step procedure which first determined on a rectilinear-type cascade mesh to determine the unsteady flow over an extended blade-passage solution domain and then used polar-type local mesh to resolve the unsteady flow in high-gradient regions. In the present effort a composite solution procedure has been developed in which the cascade and local mesh equations are solved simultaneously. This allows the detail features of the flow within the local mesh region to impact the unsteady solution over the entire domain. In addition, a new shock- conforming local mesh has been introduced to permit a more accurate modeling of unsteady shock phenomena. Numerical results are presented to demonstrate the impact of the new composite solution procedure and the new local mesh on unsteady flow predictions. Results are also presented to illustrate the global unsteady aerodynamic response behavior of a compressor-type cascade operating at high subsonic inlet Mach numbers and at high mean incidences.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1988
Accession Number
ADA199211

Entities

People

  • Joseph M. Verdon
  • William J. Usab Jr.

Organizations

  • United Technologies Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Value Problems
  • Compressors
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Far Field
  • Flow
  • Fluid Dynamics
  • Geometry
  • Mach Number
  • Numerical Analysis
  • Steady Flow
  • Two Dimensional
  • Unsteady Flow

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)