Surrogate modeling and active subspaces for efficient optimization of supersonic aircraft
Abstract/Contents
- Abstract
- This dissertation presents approaches for surrogate based optimization of supersonic vehicles analyzed with high fidelity flow simulations. It integrates several developments in surrogate modeling to enable a robust regression procedure in the presence of sparse data and inaccurate gradients. A series of hyperparameter constraints are developed which encourage the learning process to generate a physically representative fit of the data. It identifies the existence of subspaces based on linear combinations of inputs called "active subspaces" that reasonably model the behavior of objectives within aerospace design problems such as lift coefficient, drag coefficient and an equivalent area functional. Coherent physical features were found across several design problems for both two and three dimensional geometries. This dissertation further proposes an approach for adaptive refinement by conditioning the traditional expected improvement sampling criterion to avoid exploration of the design bounds. To begin work on applying active subspaces to optimization, inverse maps were developed to enable the linking of separate active subspaces for objectives and constraints, enabling surrogate based optimization in high dimension. Several design problems are explored, and it is shown that surrogate based optimization in active subspaces could enable the optimization of problems otherwise intractable via gradient based optimization alone.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2015 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Lukaczyk, Trent William |
|---|---|
| Associated with | Stanford University, Department of Aeronautics and Astronautics. |
| Primary advisor | Alonso, Juan José, 1968- |
| Thesis advisor | Alonso, Juan José, 1968- |
| Thesis advisor | Constantine, Paul G |
| Thesis advisor | Kochenderfer, Mykel J, 1980- |
| Thesis advisor | Kroo, Ilan |
| Advisor | Constantine, Paul G |
| Advisor | Kochenderfer, Mykel J, 1980- |
| Advisor | Kroo, Ilan |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Trent William Lukaczyk. |
|---|---|
| Note | Submitted to the Department of Aeronautics and Astronautics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2015. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2015 by Trent William Lukaczyk
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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