An analysis of projection-based reduced order models and their application to supersonic flows
Abstract/Contents
- Abstract
- Computationally expensive physics simulations remain necessary and challenging in the engineering community. Applications that require many queries of the high dimensional model are particularly expensive, including design optimization and uncertainty quantification. Time-critical applications, such as model predictive control, cannot currently rely on high-fidelity simulations due to the time and storage requirements. Projection-based reduced order models (PROMs) offer a promising solution by approximating the full-order simulations while significantly reducing the computational complexity. This dissertation explores projection-based reduced order models (PROM) in fluid dynamics simulations. The objective is to develop a tool for analyzing and applying PROMs in computational fluid dynamics (CFD) problems. The PROM framework is implemented in the SU2 solver using the Least-Squares Petrov-Galerkin equations. Using this tool, a novel hyper-reduction method is investigated. Additionally, a comparative analysis between PROMs and a nonlinear autoencoder model using latent space systems identification is presented. The comparative analysis guides the selection of appropriate modeling approaches for different flow scenarios that contain shocks.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2023; ©2023 |
| Publication date | 2023; 2023 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Lauzon, Jessica Therese |
|---|---|
| Degree supervisor | Alonso, Juan José, 1968- |
| Thesis advisor | Alonso, Juan José, 1968- |
| Thesis advisor | Farhat, Charbel |
| Thesis advisor | Kochenderfer, Mykel J, 1980- |
| Degree committee member | Farhat, Charbel |
| Degree committee member | Kochenderfer, Mykel J, 1980- |
| Associated with | Stanford University, School of Engineering |
| Associated with | Stanford University, Department of Aeronautics and Astronautics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Jessica Lauzon. |
|---|---|
| Note | Submitted to the Department of Aeronautics and Astronautics. |
| Thesis | Thesis Ph.D. Stanford University 2023. |
| Location | https://purl.stanford.edu/cy609hk2563 |
Access conditions
- Copyright
- © 2023 by Jessica Therese Lauzon
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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