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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
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)
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)
Schroff, G., Keller, H.: Stabilization of unstable procedures: The Recursive Projection Method. SIAM Journal of Numerical Analysis 30 (1993) 1099–1120
Görtz, S., Möller, J.: Evaluation of the Recursive Projection Method for efficient unsteady turbulent CFD simulation. ICAS 2004 (2004)
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
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)
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)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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)