Abstract
In this work we introduce a robust and consistent discrete adjoint solver that has been embedded into the open-source multiphysics framework SU\(^2\) by exploitation of the fixed-point structure of the flow solver. At inviscid and turbulent optimization test cases we demonstrate the capabilities of the implementation and compare it with the continuous adjoint method and the common frozen eddy viscosity assumption.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Giles, M.B., Pierce, N.A.: An introduction to the adjoint approach to design. Flow Turbul. Combust. 65(3–4), 393–415 (2000)
Griewank, A., Walther, A.: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM, Other Titles in Applied Mathematics (2008)
Palacios, F., Alonso, J.J., Economon, T.D. et al.: Stanford University Unstructured (SU2): an open-source integrated computational environment for multi-physics simulation and design. In: 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition (2013)
Hicks, R.M., Henne, P.A.: Wing design by numerical optimization. J. Aircraft 15, 407–412 (1978)
Nemili, A., Özkaya, E., Gauger, N.R. et al.: Discrete adjoint based sensitivity analysis for optimal flow control of a 3D high-lift configuration. In: AIAA 2013–2585 (2013)
Gauger, N.R., Walther, A., Moldenhauer, C., et al.: Automatic differentiation of an entire design chain for aerodynamic shape optimization. Notes Numer. Fluid Mech. Multidiscipl. Des. 96, 454–461 (2007)
Nielsen, E.J., Park, M.A.: Using an adjoint approach to eliminate mesh sensitivities in computational design. AIAA J. 40(5), 948–953 (2006)
Hogan, R.J.: Fast reverse-mode automatic differentiation using expression templates in C++. ACM Trans. Math. Softw. 40(4), 1–16 (2014)
Kraft, D.: A software package for sequential quadratic programming. Technical Report. DLR German Aerospace Center DFVLR-FB 88–28 (1988)
Cook, P.H., McDonald, M.A., Firmin, M.C.: Aerofoil RAE 2822—Pressure distributions, and boundary layer and wake measurements. Experimental data base for computer program assessment. AGARD Report AR (1979), p. 138
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Albring, T., Sagebaum, M., Gauger, N.R. (2016). A Consistent and Robust Discrete Adjoint Solver for the SU\(^2\) Framework—Validation and Application. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Breitsamter, C. (eds) New Results in Numerical and Experimental Fluid Mechanics X. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-319-27279-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-27279-5_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27278-8
Online ISBN: 978-3-319-27279-5
eBook Packages: EngineeringEngineering (R0)