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Computation of unsteady nonlinear flows in cascades using a harmonic balance technique

Publication ,  Journal Article
Hall Kenneth, C; Thomas Jeffrey, P; Clark, WS
Published in: AIAA Journal
2002

A harmonic balance technique for modeling unsteady nonlinear flows in turbomachinery is presented. The analysis exploits the fact that many unsteady flows of interest in turbomachinery are periodic in time. Thus, the unsteady flow conservation variables may be represented by a Fourier series in time with spatially varying coefficients. This assumption leads to a harmonic balance form of the Euler or Navier-Stokes equations, which, in turn, can be solved efficiently as a steady problem using conventional computational fluid dynamic (CFD) methods, including pseudotime time marching with local time stepping and multigrid acceleration. Thus, the method is computationally efficient, at least one to two orders of magnitude faster than conventional nonlinear time-domain CFD simulations. Computational results for unsteady, transonic, viscous flow in the front stage rotor of a high-pressure compressor demonstrate that even strongly nonlinear flows can be modeled to engineering accuracy with a small number of terms retained in the Fourier series representation of the flow. Furthermore, in some cases, fluid nonlinearities are found to be important for surprisingly small blade vibrations.

Duke Scholars

Published In

AIAA Journal

Publication Date

2002

Volume

40

Issue

5

Start / End Page

879 / 886

Related Subject Headings

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

Citation

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Hall Kenneth, C., Thomas Jeffrey, P., & Clark, W. S. (2002). Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA Journal, 40(5), 879–886.
Hall Kenneth, C., P. Thomas Jeffrey, and W. S. Clark. “Computation of unsteady nonlinear flows in cascades using a harmonic balance technique.” AIAA Journal 40, no. 5 (2002): 879–86.
Hall Kenneth C, Thomas Jeffrey P, Clark WS. Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA Journal. 2002;40(5):879–86.
Hall Kenneth, C., et al. “Computation of unsteady nonlinear flows in cascades using a harmonic balance technique.” AIAA Journal, vol. 40, no. 5, 2002, pp. 879–86.
Hall Kenneth C, Thomas Jeffrey P, Clark WS. Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA Journal. 2002;40(5):879–886.

Published In

AIAA Journal

Publication Date

2002

Volume

40

Issue

5

Start / End Page

879 / 886

Related Subject Headings

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