Flow of nonuniformly stratified fluid of large depth over topography
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1999.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/9409 |
| _version_ | 1811084596848099328 |
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| author | Davis, Kevin S. (Kevin Scott), 1975- |
| author2 | Triantaphyllos R. Akylas. |
| author_facet | Triantaphyllos R. Akylas. Davis, Kevin S. (Kevin Scott), 1975- |
| author_sort | Davis, Kevin S. (Kevin Scott), 1975- |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1999. |
| first_indexed | 2024-09-23T12:53:41Z |
| format | Thesis |
| id | mit-1721.1/9409 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:53:41Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/94092020-03-30T22:12:51Z Flow of nonuniformly stratified fluid of large depth over topography Davis, Kevin S. (Kevin Scott), 1975- Triantaphyllos R. Akylas. Massachusetts Institute of Technology. Department of Mechanical Engineering Mechanical Engineering Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1999. Includes bibliographical references (leaves 63-64). This thesis extends Long's model (Long 1953) for steady flow of a hydrostatic, Boussinesq, uniformly stratified fluid of large depth over topography, to accommodate two latters of uniform stratification and subsequently variable stratification. The two-layer solution follows the work by Durran ( J. 992) and is obtained in a piecewise fashion with the appropriate matching conditions at the stratification interface. The variable stratification solution is obtained by resolving the vertical dependence of the stratification with a numerical 'shooting' or integration technique. Consequently, this solution is in general not fully analytical. These techniques are applied to small and finite-amplitude two-dimensional problems as well as small-amplitude three-dimensional problems. The two-layer solution, when implemented, encounters many of the same numerical problems seen by Durran. However, the variable stratification allows for the close approximation of the two-layer situation and does not suffer from the same convergence problems. Further, variable stratification allows for general stratification profiles. The effect known as tropopause tuning is diminished as the stratification interface continuously varies over a transition region. Similar results are also obtained for the small-amplitude three-dimensional case. by Kevin S. Davis. S.M. 2005-08-22T18:08:49Z 2005-08-22T18:08:49Z 1999 1999 Thesis http://hdl.handle.net/1721.1/9409 43274100 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 64 leaves 3575660 bytes 3575415 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mechanical Engineering Davis, Kevin S. (Kevin Scott), 1975- Flow of nonuniformly stratified fluid of large depth over topography |
| title | Flow of nonuniformly stratified fluid of large depth over topography |
| title_full | Flow of nonuniformly stratified fluid of large depth over topography |
| title_fullStr | Flow of nonuniformly stratified fluid of large depth over topography |
| title_full_unstemmed | Flow of nonuniformly stratified fluid of large depth over topography |
| title_short | Flow of nonuniformly stratified fluid of large depth over topography |
| title_sort | flow of nonuniformly stratified fluid of large depth over topography |
| topic | Mechanical Engineering |
| url | http://hdl.handle.net/1721.1/9409 |
| work_keys_str_mv | AT daviskevinskevinscott1975 flowofnonuniformlystratifiedfluidoflargedepthovertopography |