Effect of Approximations of the Discrete Adjoint on Gradient-Based Optimization

An exact discrete adjoint of an unstructured finite-volume solver for the Reynolds-averaged Navier-Stokes equations has been developed. The adjoint is exact in the sense of being based on the full linearization of all terms in the solver, including all turbulence model contributions. From this start...

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Bibliographic Details
Published in:AIAA journal 2006-12, Vol.44 (12), p.3022-3031
Main Authors: Dwight, Richard P, Brezillon, Joel
Format: Article
Language:English
Subjects:
Aerodynamics
Applied fluid mechanics
Approximation
Computational methods in fluid dynamics
Design optimization
Effects
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Reynolds equation
Turbulence models
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Summary:An exact discrete adjoint of an unstructured finite-volume solver for the Reynolds-averaged Navier-Stokes equations has been developed. The adjoint is exact in the sense of being based on the full linearization of all terms in the solver, including all turbulence model contributions. From this starting point various approximations to the adjoint are derived with the intention of simplifying the development and memory requirements of the method; considered are many approximations already seen in the literature. The effect of these approximations on the accuracy of the resulting design gradients, and the convergence and final solution of optimizations is studied, as it applies to a two-dimensional high-lift configuration. [PUBLICATION ABSTRACT]
ISSN:0001-1452
1533-385X
DOI:10.2514/1.21744