Optimal shape design using an unsteady continuous adjoint approach [electronic resource]
- Thomas D. Economon.
- Physical description
- 1 online resource.
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|3781 2014 E||In-library use|
- Economon, Thomas D.
- Alonso, Juan José, 1968- primary advisor.
- Jameson, Antony, 1934- advisor.
- MacCormack, R. W. (Robert William), 1940- advisor.
- Stanford University. Department of Aeronautics and Astronautics.
- Many practical flows of aerodynamic interest are unsteady in nature, and between increases in computing power and advanced algorithms, accurately predicting and designing for the performance of aerospace systems in an unsteady environment is becoming more tractable. Several examples of engineering applications that could immediately benefit from a truly time-accurate design approach are open rotors, rotorcraft, turbomachinery, wind turbines, maneuvering flight, or flapping flight, to name a few. An unsteady treatment of these flows will also directly enable multidisciplinary design, analysis, and optimization involving other time-dependent physics associated with these systems, such as their structural or acoustic responses. Consequently, new unsteady design methodologies will enable the design of next generation aerospace vehicles with reduced fuel burn, emissions, and noise or rotating machinery for meeting future propulsion and energy challenges. This dissertation presents the development and application of a new, unsteady continuous adjoint formulation for optimal shape design. The arbitrary Lagrangian-Eulerian (ALE) form of the unsteady, compressible Reynolds-averaged Navier-Stokes (RANS) equations with a generic source term is considered, and from these governing flow equations, an adjoint formulation centered around finding surface sensitivities using shape calculus is derived. This surface formulation provides the gradient information necessary for performing gradient-based aerodynamic shape optimization. To analyze the effectiveness of the methodology, gradients provided by the continuous adjoint and finite differencing approaches are compared. Optimal shape design is demonstrated in both two and three dimensions for a range of pitching and rotating applications.
- Publication date
- Submitted to the Department of Aeronautics and Astronautics.
- Thesis (Ph.D.)--Stanford University, 2014.
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