Reduced-order models of transport phenomena
Abstract/Contents
- Abstract
- Reduced-order models (ROMs) have been developed to obtain "cheap" yet accurate surrogates of high-fidelity simulations, which remain a challenging and often unfeasible task due to the nonlinear nature of coupled transport phenomena and the heterogeneity of ambient environments. The goal is to alleviate the expensive computational costs, while simultaneously capturing the underlying dynamic features. This dissertation addresses several challenges in construction of conventional ROMs for flow and transport problems, and introduces a physics-aware dynamic mode decomposition (DMD) framework to ameliorate the shortcomings of conventional ROMs. This framework supplements DMD, a data-driven tool that uses best linear approximations to construct efficient ROMs for complex systems, with physics-aware ingredients. The resulting ROMs are capable of capturing key features of the underlying dynamics with higher-order accuracy than conventional pure data-driven methods. They do so at a small fraction of the computational time of the iteration-based methods, which explains its rapid adoption by engineers in a plethora of applications.
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 | 2022; ©2022 |
| Publication date | 2022; 2022 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Lu, Hannah (Hanqing) |
|---|---|
| Degree supervisor | Tartakovsky, Daniel |
| Thesis advisor | Tartakovsky, Daniel |
| Thesis advisor | Durlofsky, Louis |
| Thesis advisor | Tchelepi, Hamdi |
| Degree committee member | Durlofsky, Louis |
| Degree committee member | Tchelepi, Hamdi |
| Associated with | Stanford University, Department of Energy Resources Engineering |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Hannah Lu. |
|---|---|
| Note | Submitted to the Department of Energy Resources Engineering. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/ds081zz9056 |
Access conditions
- Copyright
- © 2022 by Hanqing Lu
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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