Skip to main content

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 55))

Abstract

In this paper, an unsteady aerodynamic/aeroacoustic optimization framework is presented. This is based on the continuous adjoint method to a hybrid acoustic prediction tool, in which the near-field flow solution results from an unsteady CFD simulation while the acoustic propagation to far-field makes use of an acoustic analogy. The CFD simulation is performed using the in-house GPU-enabled URANS equations’ solver for which a continuous adjoint solver is available. The noise prediction tool and its adjoint are developed based on the permeable version of the Ffowcs Williams and Hawkings (FW-H) analogy, solved in the frequency domain. Its implementation is verified w.r.t. the analytical solution of the sound field from a monopole source in uniform flow. Then, the accuracy of the hybrid solver is verified by comparing the sound directivity computed by the FW-H analogy with that of a CFD run, for a 2D pitching airfoil in a subsonic inviscid flow. The accuracy of the sensitivities computed using the unsteady adjoint solver is verified w.r.t. those computed by finite differences. Finally, the programmed software is used to optimize the shape of the pitching airfoil, aiming at min. noise with an equality constraint for the lift.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 299.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Kallas S et al (2011) Flightpath 2050 Europe’s vision for aviation. Report of the high level group on aviation research. European commission, Brussels, Belgium, Report No. EUR 98

    Google Scholar 

  2. Pironneau O (1974) On optimum design in fluid mechanics. J Fluid Mech 64(1):97–110

    Article  MathSciNet  Google Scholar 

  3. Jameson A (1988) Aerodynamic design via control theory. J Sci Comput 3(3):233–260

    Article  Google Scholar 

  4. Papoutsis-Kiachagias EM, Giannakoglou KC (2016) Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications. Arch Comput Methods Eng 23(2):255–299

    Article  MathSciNet  Google Scholar 

  5. Papoutsis-Kiachagias E, Magoulas N, Mueller J, Othmer C, Giannakoglou K (2015) Noise reduction in car aerodynamics using a surrogate objective function and the continuous adjoint method with wall functions. Comput Fluids 122:223–232

    Article  MathSciNet  Google Scholar 

  6. Rumpfkeil M, Zingg D (2010) A hybrid algorithm for far-field noise minimization. Comput Fluids 39(9):1516–1528

    Article  Google Scholar 

  7. Zhou B, Albring T, Gauger N, Economon T, Palacios F, Alonso J (2015) A discrete adjoint framework for unsteady aerodynamic and aeroacoustic optimization. In: 16th AIAA/ISSMO multidisciplinary analysis and optimization conference, p. 3355

    Google Scholar 

  8. Zhou BY, Albring TA, Gauger NR, Economon TD, Alonso JJ (2016) An efficient unsteady aerodynamic and aeroacoustic design framework using discrete adjoint. In: 17th AIAA/ISSMO multidisciplinary analysis and optimization conference, p 3369

    Google Scholar 

  9. Zhou B, Albring T, Gauger N, Ilario C, Economon T, Alonso J (2017) Reduction of airframe noise components using a discrete adjoint approach. In: 18th AIAA/ISSMO multidisciplinary analysis and optimization conference, p 3658

    Google Scholar 

  10. Zhou BY, Albring T, Gauger NR, Ilario da Silva CR, Economon TD, Alonso JJ (2017) A discrete adjoint approach for jet-flap interaction noise reduction. In: 58th AIAA/ASCE/AHS/ASC structures, structural dynamics, and materials conference, p 0130

    Google Scholar 

  11. Economon T, Palacios F, Alonso J (2012) A coupled-adjoint method for aerodynamic and aeroacoustic optimization. In: 12th AIAA Aviation Technology, Integration, and Operations (ATIO) conference and 14th AIAA/ISSMO multidisciplinary analysis and optimization conference, p 5598

    Google Scholar 

  12. Kapellos CS, Papoutsis-Kiachagias EM, Giannakoglou KC, Hartmann M (2019) The unsteady continuous adjoint method for minimizing flow-induced sound radiation. J Comput Phys 392:368–384

    Article  MathSciNet  Google Scholar 

  13. Kampolis I, Trompoukis X, Asouti V, Giannakoglou K (2010) CFD-based analysis and two-level aerodynamic optimization on graphics processing units. Comput Methods Appl Mech Eng 199(9–12):712–722

    Article  MathSciNet  Google Scholar 

  14. Asouti VG, Trompoukis XS, Kampolis IC, Giannakoglou KC (2011) Unsteady cfd computations using vertex-centered finite volumes for unstructured grids on graphics processing units. Int J Numer Methods Fluids 67(2):232–246

    Article  MathSciNet  Google Scholar 

  15. Yoo C, Wang Y, Trouve A, Im H (2005) Characteristic boundary conditions for direct simulations of turbulent counterflow flames. Combust Theory Model 9(4):617–646

    Article  MathSciNet  Google Scholar 

  16. Lighthill MJ (1954) On sound generated aerodynamically ii. turbulence as a source of sound. Proc R Soc Lond Ser A Math Phys Sci 222(1148):1–32

    Google Scholar 

  17. Curle N (1955) The influence of solid boundaries upon aerodynamic sound. Proc R Soc Lond Ser A Math Phys Sci 231(1187):505–514

    Google Scholar 

  18. Ffowcs Williams J, Hawkings D (1969) Sound generation by turbulence and surfaces in arbitrary motion. Philoso Trans R Soc Lond Ser A Math Phys Sci 264(1151):321–342

    Google Scholar 

  19. Lockard D (2000) An efficient, two-dimensional implementation of the Ffowcs Williams and Hawkings equation. J Sound Vib 229(4):897–911

    Article  Google Scholar 

Download references

Acknowledgments

This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska Curie Grant Agreement No 722401.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Monfaredi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Monfaredi, M., Trompoukis, X.S., Tsiakas, K.T., Giannakoglou, K.C. (2021). An Unsteady Aerodynamic/Aeroacoustic Optimization Framework Using Continuous Adjoint. In: Gaspar-Cunha, A., Periaux, J., Giannakoglou, K.C., Gauger, N.R., Quagliarella, D., Greiner, D. (eds) Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. Computational Methods in Applied Sciences, vol 55. Springer, Cham. https://doi.org/10.1007/978-3-030-57422-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-57422-2_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-57421-5

  • Online ISBN: 978-3-030-57422-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics