Parallel multigrid for large-scale least squares sensitivity
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2013.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2013
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/82481 |
| _version_ | 1826194871406297088 |
|---|---|
| author | Gomez, Steven A |
| author2 | Qiqi Wang. |
| author_facet | Qiqi Wang. Gomez, Steven A |
| author_sort | Gomez, Steven A |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2013. |
| first_indexed | 2024-09-23T10:03:28Z |
| format | Thesis |
| id | mit-1721.1/82481 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T10:03:28Z |
| publishDate | 2013 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/824812019-04-12T21:40:10Z Parallel multigrid for large-scale least squares sensitivity Parallel multigrid for large-scale LSS Gomez, Steven A Qiqi Wang. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics. Aeronautics and Astronautics. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2013. This electronic version was submitted and approved by the author's academic department as part of an electronic thesis pilot project. The certified thesis is available in the Institute Archives and Special Collections. Cataloged from department-submitted PDF version of thesis Includes bibliographical references (p. 85-86). This thesis presents two approaches for efficiently computing the "climate" (long- time average) sensitivities for dynamical systems. Computing these sensitivities is essential to performing engineering analysis and design. The first technique is a novel approach to solving the "climate" sensitivity problem for periodic systems. A small change to the traditional adjoint sensitivity equations results in a method which can accurately compute both instantaneous and long-time averaged sensitivities. The second approach deals with the recently developed Least Squares Sensitivity (LSS) method. A multigrid algorithm is developed that can, in parallel, solve the discrete LSS system. This generic algorithm can be applied to ordinary differential equations such as the Lorenz System. Additionally, this parallel method enables the estimation of climate sensitivities for a homogeneous isotropic turbulence model, the largest scale LSS computation performed to date. by Steven A. Gomez. S.M. 2013-11-18T20:40:48Z 2013-11-18T20:40:48Z 2013 2013 Thesis http://hdl.handle.net/1721.1/82481 862228721 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 86 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Aeronautics and Astronautics. Gomez, Steven A Parallel multigrid for large-scale least squares sensitivity |
| title | Parallel multigrid for large-scale least squares sensitivity |
| title_full | Parallel multigrid for large-scale least squares sensitivity |
| title_fullStr | Parallel multigrid for large-scale least squares sensitivity |
| title_full_unstemmed | Parallel multigrid for large-scale least squares sensitivity |
| title_short | Parallel multigrid for large-scale least squares sensitivity |
| title_sort | parallel multigrid for large scale least squares sensitivity |
| topic | Aeronautics and Astronautics. |
| url | http://hdl.handle.net/1721.1/82481 |
| work_keys_str_mv | AT gomezstevena parallelmultigridforlargescaleleastsquaressensitivity AT gomezstevena parallelmultigridforlargescalelss |