Numerical studies in rarefied gas dynamics, cosmological summary statistics, and scalar field dark matter
Abstract/Contents
- Abstract
- In this thesis, we study and develop several numerical techniques used in astrophysics and cosmology. On the astrophysical front, we examine the ability of unified gas kinetic schemes to simulate rarefied gas dynamics beyond the domain of the Navier-Stokes approximation and discuss potential applications. We showcase our massively parallel open-source implementation of the Coupled Discrete Unified Gas Kinetic Scheme (CDUGKS) on common test problems and discuss performance benchmarks. On the cosmological front, we further develop the theoretical and numerical techniques of k-Nearest Neighbor (kNN) statistics, a novel cosmological summary statistic which shows promise as a more informative alternative to traditional N-point statistics. We describe the theory of kNN statistics in a linear theory of cosmology, and discuss several measurement techniques including our open source high performance implementation of the kD-Tree algorithm specialized for kNNs in cosmology. Finally, we evaluate the validity of current techniques used for the simulation of ultralight scalar field dark matter at astrophysical and cosmological scales, and present new codes and techniques for going beyond the regime of validity of the current techniques.
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 | Zamora, Alvaro, 1996- |
|---|---|
| Degree supervisor | Abel, Tom G, 1970- |
| Thesis advisor | Abel, Tom G, 1970- |
| Thesis advisor | Blandford, Roger D |
| Thesis advisor | Madejski, Grzegorz |
| Degree committee member | Blandford, Roger D |
| Degree committee member | Madejski, Grzegorz |
| Associated with | Stanford University, School of Humanities and Sciences |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Alvaro Zamora. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2023. |
| Location | https://purl.stanford.edu/jf495nk3931 |
Access conditions
- Copyright
- © 2023 by Alvaro Zamora
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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