Optimal shape design using an unsteady continuous adjoint approach
Abstract/Contents
- Abstract
- 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.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2014 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Economon, Thomas D |
|---|---|
| Associated with | Stanford University, Department of Aeronautics and Astronautics. |
| Primary advisor | Alonso, Juan José, 1968- |
| Thesis advisor | Alonso, Juan José, 1968- |
| Thesis advisor | Jameson, Antony, 1934- |
| Thesis advisor | MacCormack, R. W. (Robert William), 1940- |
| Advisor | Jameson, Antony, 1934- |
| Advisor | MacCormack, R. W. (Robert William), 1940- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Thomas D. Economon. |
|---|---|
| Note | Submitted to the Department of Aeronautics and Astronautics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2014. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2014 by Thomas David Economon
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Also listed in
Loading usage metrics...