Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization
Bueno-Orovio A, Castro C, Palacios F, Zuazua E (2012)
Publication Type: Journal article
Publication year: 2012
Journal
Book Volume: 50
Pages Range: 631-646
Journal Issue: 3
DOI: 10.2514/1.J051307
Abstract
In this paper, the continuous adjoint method to compute shape sensitivities in aerodynamic design with turbulence modeling is described and developed. The focus is on compressible flows described by the Reynolds-averaged Navier-Stokes equations and the classical Spalart-Allmaras model for turbulence. Turbulence modeling usually requires, in particular, computation of the distance to the surface. Here, this distance is incorporated to the system as a new variable, solving the Eikonal equation. The accuracy of the sensitivity derivatives obtained with the complete turbulent approach is assessed by comparison with finite difference computations and the classical continuous adjoint with frozen viscosity, showing substantial improvements in the convergence properties of the method and in the quality of the obtained gradients. The validity of the overall methodology is illustrated with several design examples, including the optimization of three-dimensional geometries in combination with advanced freeform techniques for mesh deformation. Copyright © 2011 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
Authors with CRIS profile
Involved external institutions
University of Oxford
United Kingdom (GB)
Universidad Politécnica de Madrid (UPM)
Spain (ES)
Stanford University
United States (USA) (US)
Basque Center of Applied Mathematics (BCAM)
Spain (ES)
United Kingdom (GB)
Universidad Politécnica de Madrid (UPM)
Spain (ES)
Stanford University
United States (USA) (US)
Basque Center of Applied Mathematics (BCAM)
Spain (ES)
How to cite
APA:
Bueno-Orovio, A., Castro, C., Palacios, F., & Zuazua, E. (2012). Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization. AIAA Journal, 50(3), 631-646. https://dx.doi.org/10.2514/1.J051307
MLA:
Bueno-Orovio, Alfonso, et al. "Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization." AIAA Journal 50.3 (2012): 631-646.
BibTeX: Download