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Linearized euler predictions of unsteady aerodynamic loads in cascades

Publication ,  Journal Article
Hall, KC; Clark, WS
Published in: AIAA Journal
January 1, 1993

A linearized Euler solver for calculating unsteady flows in turbomachinery blade rows due to both incident gusts and vibratory blade motion is presented. Using the linearized Euler technique, one decomposes the flow into a mean (or steady) flow plus an unsteady, harmonically varying, small-disturbance flow. Linear variable coefficient equations describe the small-disturbance behavior of the flow and are solved using a pseudotime time-marching Lax-Wendroff scheme. For the blade-motion problem, a harmonically deforming computational grid that conforms to the motion of vibrating blades eliminates large error producing mean flow gradient terms that would otherwise appear in the unsteady flow tangency boundary condition. Also presented is a new, numerically exact, nonreflecting far-field boundary condition based on an eigenanalysis of the discretized equations. Computed flow solutions demonstrate the computational accuracy and efficiency of the present method. The solution of the linearized Euler equations requires one to two orders of magnitude less computer time than solution of the nonlinear Euler equations using traditional time-accurate time-marching techniques. Furthermore, it is shown that the deformable grid technique significantly improves the accuracy of the solution. © 1993 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

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Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 1993

Volume

31

Issue

3

Start / End Page

540 / 550

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

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Hall, K. C., & Clark, W. S. (1993). Linearized euler predictions of unsteady aerodynamic loads in cascades. AIAA Journal, 31(3), 540–550. https://doi.org/10.2514/3.11363
Hall, K. C., and W. S. Clark. “Linearized euler predictions of unsteady aerodynamic loads in cascades.” AIAA Journal 31, no. 3 (January 1, 1993): 540–50. https://doi.org/10.2514/3.11363.
Hall KC, Clark WS. Linearized euler predictions of unsteady aerodynamic loads in cascades. AIAA Journal. 1993 Jan 1;31(3):540–50.
Hall, K. C., and W. S. Clark. “Linearized euler predictions of unsteady aerodynamic loads in cascades.” AIAA Journal, vol. 31, no. 3, Jan. 1993, pp. 540–50. Scopus, doi:10.2514/3.11363.
Hall KC, Clark WS. Linearized euler predictions of unsteady aerodynamic loads in cascades. AIAA Journal. 1993 Jan 1;31(3):540–550.
Journal cover image

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 1993

Volume

31

Issue

3

Start / End Page

540 / 550

Related Subject Headings

  • Aerospace & Aeronautics
  • 4012 Fluid mechanics and thermal engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering