Hostname: page-component-7b7567c8c-wxvwp Total loading time: 0 Render date: 2026-11-15T09:12:44.463Z Has data issue: false hasContentIssue false
  • English
  • Français

Trailing-edge noise reduction using derivative-free optimization and large-eddy simulation

Published online by Cambridge University Press:  23 January 2007

ALISON L. MARSDEN,
MENG WANG,
J. E. DENNIS jr and
PARVIZ MOIN
ALISON L. MARSDEN
Affiliation:
Mechanical Engineering Department, Stanford University, CA 94305, USA
MENG WANG
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, IN 46556, USA
J. E. DENNIS jr
Affiliation:
Department of Computational and Applied Mathematics, Rice University, TX 77005, USA
PARVIZ MOIN
Affiliation:
Mechanical Engineering Department, Stanford University, CA 94305, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

Derivative-free optimization techniques are applied in conjunction with large-eddy simulation (LES) to reduce the noise generated by turbulent flow over a hydrofoil trailing edge. A cost function proportional to the radiated acoustic power is derived based on the Ffowcs Williams and Hall solution to Lighthill's equation. Optimization is performed using the surrogate-management framework with filter-based constraints for lift and drag. To make the optimization more efficient, a novel method has been developed to incorporate Reynolds-averaged Navier–Stokes (RANS) calculations for constraint evaluation. Separation of the constraint and cost-function computations using this method results in fewer expensive LES computations. This work demonstrates the ability to fully couple optimization to large-eddy simulation for time-accurate turbulent flow. The results demonstrate an 89% reduction in noise power, which comes about primarily by the elimination of low-frequency vortex shedding. The higher-frequency broadband noise is reduced as well, by a subtle change in the lower surface near the trailing edge.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 572 , February 2007, pp. 13 - 36
Copyright
Copyright © Cambridge University Press 2007

References

REFERENCES

Audet, C., Booker, A. J., Dennis, J. E. Jr, Frank, P. D. & Moore, D. W. 2000 A surrogate-model-based method for constrained optimization. AIAA Paper 2000–4891.CrossRefGoogle Scholar
Audet, C. & Dennis, J. E. Jr 2004a Mesh adaptive direct search algorithms for constrained optimization. Tech. Rep. G–2004–04. Les Cahiers du GERAD, École Polytechnique de Montréal, Département de Mathématiques et de Génie Industriel, C.P. 6079, Centre-ville, Montréal (Québec), H3C 3A7 Canada.Google Scholar
Audet, C. & Dennis, J. E. Jr 2004b A pattern search filter method for nonlinear programming without derivatives. SIAM J. Optimization 14 (4), 980–1010.Google Scholar
Blake, W. K. 1975 A statistical description of pressure and velocity fields at the trailing edge of a flat strut. DTNSRDC Rep. 4241. David Taylor Naval Ship R & D Center, Bethesda, Maryland.Google Scholar
Blake, W. K. 1986 Mechanics of Flow-induced Sound and Vibration, Vols. I and II. Academic.Google Scholar
Blake, W. K. & Gershfeld, J. L. 1988 The aeroacoustics of trailing edges. In Frontiers in Experimental Fluid Mechanics (ed. Gad-el-Hak, M.), chap. 10. Springer.Google Scholar
Booker, A. J., Dennis Jr, J. E., Frank, P. D., Serafini, D. B., Torczon, V. & Trosset, M. W. 1999 A rigorous framework for optimization of expensive functions by surrogates. Structural Optimization 17 (1), 1–13.Google Scholar
Brooks, T. F. & Hodgson, T. H. 1981 Trailing edge noise prediction from measured surface pressures. J. Sound Vib. 78, 69–117.Google Scholar
Crighton, D. G. & Leppington, F. G. 1971 On the scattering of aerodynamic noise. J. Fluid Mech. 46, 557–597.Google Scholar
Ffowcs Williams, J. E. & Hall, L. H. 1970 Aerodynamic sound generation by turbulent flow in the vicinity of a scattering half plane. J. Fluid Mech. 40, 657–670.Google Scholar
Fletcher, R. & Leyffer, S. 2002 Nonlinear programming without a penalty function. Math. Programming 91, 239–269.Google Scholar
Germano, M., Piomelli, U., Moin, P. & Cabot, W. 1991 A dynamic subgrid-scale eddy-viscosity model. Phys. Fluids A 3, 1760–1765.Google Scholar
Goldstein, M. E. 1976 Aeroacoustics. McGraw-Hill.Google Scholar
Howe, M. S. 1978 A review of the theory of trailing edge noise. J. Sound Vib. 61 (3), 437–465.Google Scholar
Howe, M. S. 2001 Edge-source acoustic Green's function for an airfoil of arbitrary chord, with application to trailing edge noise. Q. J. Mech. Appl. Maths 50 (1), 139–155.Google Scholar
Jameson, A., Martinelli, L. & Pierce, N. A. 1998 Optimum aerodynamic design using the Navier-Stokes equations. Theoret. Comp. Fluid Dyn. 10, 213–237.Google Scholar
Lilly, D. 1992 A proposed modification of the Germano subgrid-scale closure method. Phys. Fluids A 4, 633–635.Google Scholar
Lund, T. S., Wu, X. & Squires, K. 1998 Generation of turbulent inflow data for spatially-developing boundary layer simulations. J. Comput. Phys. 140, 233–258.Google Scholar
Marsden, A. L., Wang, M., Dennis Jr, J. E. & Moin, P. 2004a Optimal aeroacoustic shape design using the surrogate management framework. Optimization Engng 5 (2), 235–262, Special Issue: Surrogate Optimization.Google Scholar
Marsden, A. L., Wang, M., Dennis Jr, J. E. & Moin, P. 2004b Suppression of airfoil vortex-shedding noise via derivative-free optimization. Phys. Fluids 16 (10), L83–L86.Google Scholar
McKay, M. D., Conover, W. J. & Beckman, R. J. 1979 A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21, 239–245.Google Scholar
Oberai, A. A., Roknaldin, F. & Hughes, T. J. R. 2002 Computation of trailing-edge noise due to turbulent flow over an airfoil. AIAA J. 40 (11), 2206–2216.Google Scholar
Olson, S. & Mueller, T. J. 2004 An experimental study of trailing edge noise. UNDAS-IR 0105. Dept. of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN.Google Scholar
Serafini, D. B. 1998 A framework for managing models in nonlinear optimization of computationally expensive functions. PhD thesis, Rice University, Houston, TX.Google Scholar
Wang, M. 2005 Computation of trailing-edge aeroacoustics with vortex shedding. Annual Research Briefs, pp. 379–388, Center for Turbulence Research, Stanford University.Google Scholar
Wang, M. & Moin, P. 2000 Computation of trailing-edge flow and noise using large-eddy simulation. AIAA J. 38 (12), 2201–2209.Google Scholar