Skip to main content

Adjoint Algorithms for the Optimization of 3d Turbulent Configurations

  • Conference paper
New Results in Numerical and Experimental Fluid Mechanics VI

Abstract

The solution of the discrete adjoint equations for an unstructured finite volume compressible Navier-Stokes solver is discussed. In previous work fixedpoint iterations taken from the non-linear method - suitably adjointed - were applied to the adjoint problem. Here it is seen that there are often situations in which these iterations can not be expected to converge. To address this the Recursive Projection Method is developed as a stabilizer, and then used to perform an eigenmode analysis of attached and separated flow on a single geometry, allowing identification of flow regions that were unstable under the basic iteration. Finally an adjoint based optimization with 96 design variables is performed on a wing-body configuration. The initial flow has large regions of separation, which are significantly diminished in the optimized configuration.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dwight, R., Brezillon, J., Vollmer, D.: Efficient algorithms for solution of the adjoint compressible Navier-Stokes equations with applications. In: Proceedings of the ONERA-DLR Aerospace Symposium (ODAS), Toulouse. (2006)

    Google Scholar 

  2. Gerhold, T., Galle, M., Friedrich, O., Evans, J.: Calculation of complex 3D configurations employing the DLR TAU-Code. In: American Institute of Aeronautics and Astronautics, Paper AIAA-97-0167. (1997)

    Google Scholar 

  3. Dwight, R.: Efficiency Improvements of RANS-Based Analysis and Optimization using Implicit and Adjoint Methods on Unstructured Grids. PhD thesis, School of Mathematics, University of Manchester (2006)

    Google Scholar 

  4. Schroff, G., Keller, H.: Stabilization of unstable procedures: The Recursive Projection Method. SIAM Journal of Numerical Analysis 30 (1993) 1099–1120

    Google Scholar 

  5. Görtz, S., Möller, J.: Evaluation of the Recursive Projection Method for efficient unsteady turbulent CFD simulation. ICAS 2004 (2004)

    Google Scholar 

  6. Campobasso, M., Giles, M.: Stabilization of a linear flow solver for turbomachinery aeroelasticity by means of the recursive projection method. AIAA Journal 42 (2004) 1765–1774

    Google Scholar 

  7. Cook, P., McDonald, M., Firmin, M.: 6. Number 138 in AGARD-AR. In: Aerofoil RAE 2822 — Pressure Distributions and Boundary Layer and Wake Measurements. AGARD — Advisory Group for Aerospace Research & Development, Neuilly-sur-Seine, France (1979)

    Google Scholar 

  8. Brezillon, J., Brodersen, O., Dwight, R., Ronzheimer, A., Wild, J.: Development and application of a flexible and efficient environment for aerodynamic shape optimisation. In: Proceedings of the ONERA-DLR Aerospace Symposium (ODAS), Toulouse. (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dwight, R.P., Brezillon, J. (2007). Adjoint Algorithms for the Optimization of 3d Turbulent Configurations. In: Tropea, C., Jakirlic, S., Heinemann, HJ., Henke, R., Hönlinger, H. (eds) New Results in Numerical and Experimental Fluid Mechanics VI. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74460-3_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74460-3_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74458-0

  • Online ISBN: 978-3-540-74460-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics