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Aeroacoustic boundary element method using analytical/numerical matching

Publication ,  Journal Article
Epstein, RJ; Bliss, DB
Published in: AIAA Journal
January 1, 1997

A unified aeroacoustic boundary element theory has been formulated using analytical/numerical matching (ANM). ANM is a hybrid scheme combining a low-resolution global numerical solution with high-resolution local solutions to form a composite solution. ANM is applied to problems in unsteady aerodynamics and aeroacoustics. This includes both two and three dimensions for lifting surfaces in unsteady, compressible, irrotational flow to calculate the unsteady aerodynamic loading and the associated acoustic field. The solution procedure utilizes overlapping smoothed doublets and local corrections to calculate the doublet strength distribution on the surface of the boundary in question. In ANM, a smoothing length scale is introduced that is larger than the length scale of numerical discretization and smaller than the largest physical scale. The global low-resolution solution is calculated numerically using smoothed doublet solutions to the convective wave equation, and it converges quickly. Local corrections are done with high-resolution analytical solution. The global numerical solution is asymptotically matched to the local analytical solutions via a matching solution. The matching solution cancels the global solution in the near field, and cancels the local solution in the for field. The ANM composite solution gives both the surface pressure distribution and the radiated acoustic field. The method is very robust, offering insensitively to control point location. No explicit wake geometry is asssumed; therefore, a fixed or free wake model can be used. ANM provides high-resolution calculations from low-resolution numerics with analytical corrections, while avoiding the subtlety involving singlular integral equations, and their numerical implementation.

Duke Scholars

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 1997

Volume

35

Issue

2

Start / End Page

244 / 254

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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Epstein, R. J., & Bliss, D. B. (1997). Aeroacoustic boundary element method using analytical/numerical matching. AIAA Journal, 35(2), 244–254. https://doi.org/10.2514/2.114
Epstein, R. J., and D. B. Bliss. “Aeroacoustic boundary element method using analytical/numerical matching.” AIAA Journal 35, no. 2 (January 1, 1997): 244–54. https://doi.org/10.2514/2.114.
Epstein RJ, Bliss DB. Aeroacoustic boundary element method using analytical/numerical matching. AIAA Journal. 1997 Jan 1;35(2):244–54.
Epstein, R. J., and D. B. Bliss. “Aeroacoustic boundary element method using analytical/numerical matching.” AIAA Journal, vol. 35, no. 2, Jan. 1997, pp. 244–54. Scopus, doi:10.2514/2.114.
Epstein RJ, Bliss DB. Aeroacoustic boundary element method using analytical/numerical matching. AIAA Journal. 1997 Jan 1;35(2):244–254.
Journal cover image

Published In

AIAA Journal

DOI

ISSN

0001-1452

Publication Date

January 1, 1997

Volume

35

Issue

2

Start / End Page

244 / 254

Related Subject Headings

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